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**Understanding Quadrilaterals Class 8 Questions And Answers **provided here. These NCERT Solutions are created by expert team at craeers360 keeping the latest syllabus and pattern of CBSE 2023-23. A geometrical closed shape made by using 4 straight lines and having four connecting points is called Quadrilateral. The sum of the interior angles in a quadrilateral is always 360 degrees. NCERT Solutions for Class 8 Maths chapter 3 Understanding Quadrilaterals are covering the chapter to help you with the answers and conceptual clarity. It carries around 35% of geometry weightage and includes most important types of questions based on concepts of rectangles, squares, rhombus, parallelograms, trapezium, etc.

This Story also Contains

- NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals
- Understanding Quadrilaterals Class 8 Questions And Answers PDF Free Download
- Understanding Quadrilaterals Class 8 Solutions - Important Formulae
- Understanding Quadrilaterals Class 8 NCERT Solutions (Intext Questions and Exercise)
- NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Topic: Kite
- Understanding Quadrilaterals Class 8 Solutions - Topics
- NCERT Solutions for Class 8 Maths -Chapter Wise
- Key Features of Understanding Quadrilaterals Class 8 NCERT Solutions

NCERT solutions for Class 8 Maths discussed all questions and answers of all chapters including chapter 3 understanding quadrilaterals. The subtopics covered under the chapter are polygons, angle sum property, properties of different kinds of quadrilaterals. In this particular chapter, there are 4 exercises consisting of a total of 31 questions. NCERT solutions for Class 8 Maths chapter 3 Understanding Quadrilaterals is covering every question in a comprehensive manner.

Polygons are categorised based on the quantity of sides or vertices they possess, as outlined below:

Angle Sum Property for Quadrilaterals: The sum of all angles of a quadrilateral is 360°.

Sum of the Measures of Exterior Angles of a Polygon: Regardless of the number of sides in a polygon, the total measure of the exterior angles equals 360 degrees.

>> Categories of Quadrilaterals: Quadrilaterals are grouped based on the measurements of their angles and side lengths. The area represents the total space enclosed by the figure, while the perimeter is the complete distance around its boundaries. Here, you'll find descriptions, area calculations, and perimeter formulas for different types of quadrilaterals:

Free download **NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals **for CBSE Exam.

** NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise: Angle Sum Property **

** Answer: **

As shown in ACD,

As shown in ABC,

( Since, , , ,

)

Hence proved, the sum of the measures of and

amounts to .

What can you say about the sum of the angles ∠1, ∠2, ∠3 and ∠4?

[Note: We denote the angles by ∠1, ∠2, ∠3, etc., and their respective measures by m∠1, m∠2, m∠3, etc.]

The sum of the measures of the four angles of a quadrilateral is___________.

You may arrive at this result in several other ways also.

** Answer: **

As we know the sum of all four angles of a quadrilateral is .

are four angles of quadrilateral ABCD.

Hence, the sum of these angles is =

Angles ∠1, ∠2, ∠3, ∠4 meet at a point and sum of these angles is = .

** Answer: **

As we know

Hence, the sum of

** Answer: **

Draw a line matching points B and D.Line BD divides ABCD in two triangles . and .

Sum of angles of =

Sum of angles of =

Here,

Adding equation 1 and equation 2,

{ and

i.e. = . }

The sum of the interior angles in a quadilateral,

=

** NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Exercise: 3.1 **

** Q1 (a) ** Given here are some figures.

Classify each of them on the basis of the following.

(a) Simple curve

** Answer: **

(a) Simple curve : The curve which does not cross itself and have only one curve.

Some simple curves are

** Q1 (b) ** Given here are some figures.

Classify each of them on the basis of the following.

(b) Simple closed curve

** Answer: **

Simple closed curve : The simple curves which are closed by line segment or curved line.

Some simple closed curve are

** Q1 (c) ** Given here are some figures.

Classify each of them on the basis of the following.

(c) Polygon

** Answer: **

A normally closed curve made up of more than 4 line segments is called a polygon.

Some polygons are shown in figures

** Q1 (d) ** Given here are some figures.

Classify each of them on the basis of the following.

(d) Convex polygon

** Answer: **

(d) Convex polygon :Convex polygon are polygons having all interior angles less than .

Convex polygon = 2.

** Q1 (e) ** Given here are some figures.

Classify each of them on the basis of the following.

(e) Concave polygon

** Answer: **

(e) Concave polygon : Concave polygon have one or more interior angles greater than .

Concave polygon = 1.

** Q2 (a) ** How many diagonals does each of the following have?

A convex quadrilateral

** Answer: **

(a) A convex quadrilateral :

There are 2 diagonals in a convex quadrilateral.

** Q2 (b) ** How many diagonals does each of the following have?

A regular hexagon

** Answer: **

(b) A regular hexagon :

Total number of diagonal a regular hexagon have are 9 .

** Q2 (c) ** How many diagonals does each of the following have?

A triangle

** Answer: **

(c) A triangle

A triangle does not have any diagonal.

** Answer: **

The sum of the measures of the angles of a convex quadrilateral is . A convex quadrilateral is made of two triangles and sum of angles of a triangle is . Hence,sum of angles of two triangles is which is also sum of angles of a quadrilateral.

Here,as we can see this quadrilateral has two triangles and the sum of angles of these triangles is = sum of all angles of a quadrilateral.

What can you say about the angle sum of a convex polygon with the number of sides?

(a) 7

** Answer: **

(a) 7

the sum of angles of a convex polygon

the sum of angle of a convex polygon with 7 sides

the sum of angles of a convex polygon with 7 sides

the sum of angles of a convex polygon with 7 sides

What can you say about the angle sum of a convex polygon with the number of sides?

(b) 8

** Answer: **

(b) 8

The sum of the angles of a convex polygon

The sum of the angles of a convex polygon with 8 sides

The sum of the angles of a convex polygon with 8 sides

The sum of the angles of a convex polygon with 8 sides

What can you say about the angle sum of a convex polygon with number of sides?

(c) 10

** Answer: **

(c) 10

angle sum of a convex polygon

angle sum of a convex polygon with 10 sides

angle sum of a convex polygon with 10 sides

angle sum of a convex polygon with 10 sides

What can you say about the angle sum of a convex polygon with number of sides?

(d)

** Answer: **

(d)

All the angles of a convex polygon added up to

the sum of the angles of a convex polygon having n sides

** Q5 (i) ** What is a regular polygon?

State the name of a regular polygon of 3 sides

** Answer: **

A regular polygon is a polygon which has equal sides and equal angles.

The name of a regular polygon of 3 sides is an equilateral triangle.

All sides of the equilateral triangle are equal and angles are also equal.

Each angle =

** Q5 (ii) ** What is a regular polygon?

State the name of a regular polygon of 4 sides

** Answer: **

A regular polygon is a polygon which has equal sides and equal angles.

The name of a regular polygon of 4 sides is square.

Square has all angles of and all sides are equal.

** Q5 ** What is a regular polygon?

State the name of a regular polygon of 6 sides

** Answer: **

A regular polygon is a polygon which have equal sides and equal angles.

The name of a regular polygon of 6 sides is a hexagon.

All angles of the hexagon are each.

** Q6 ** Find the angle measure in the following figures.

** Answer: **

The solution for the above-written question is mentioned below,

Sum of angles of a quadrilateral

** Q6 ** Find the angle measure in the following figures.

** Answer: **

The Solution for the above-written question is mentioned below,

Sum of angles of a quadrilateral

** Q6 ** Find the angle measure in the following figures.

**Answer: **

This pentagon has all sides and all angles equal.

Sum of all angles of pentagon is

** Q6 ** Find the angle measure in the following figures.

** Answer: **

(linear pair) (linear pair)

Sum of all angles of pentagon =

** Q7 (a) ** Find

** Answer: **

(a) Find

The Sum of all angles of triangle is

the unmarked angle of triangle be A.

=

=

** Q7 (b) ** Find

** **

** Answer: **

Here you will find the detailed solution of the above-written question,

Sum of all angles of quadrilateral =

Let the unmarked angle be A.

=

=

** NCERT solutions for class 8 maths chapter 3 Understanding Quadrilaterals Excercise: Sum of the Measures of the Exterior Angles of a Polygon **

Take a regular hexagon Fig 3.10. ** Q1 ** What is the sum of the measures of its exterior angles

** Answer: **

the sum of all its exterior angles will be equal to .

x,y,z,p,q,r are all exterior angles.

Hence,

** Q2 ** Take a regular hexagon Fig 3.10.

** Answer: **

It is a hexagon with all sides equal.

All interior angles are also equal.

(linear pairs)

Hence,

because it is a hexagon with all sides and angles equal.

** Q3 (i) ** What is the measure of each? exterior angle

** Answer: **

It is a hexagon with all sides equal.

All interior angles are also equal.

Sum of all angles of hexagon is .

(linear pairs)

Each exterior angle = = =

** Q3 (ii) ** What is the measure of each? interior angle

** Answer: **

It is a hexagon with all sides equal.

All interior angles are also equal.

Sum of all angles of the hexagon is .

** Q4 (i) ** Repeat this activity for the cases of a regular octagon

** Answer: **

(i) a regular octagon: It has all 8 angles equal and sum of all eight angles is 1080. Interior angles are equal so exterior angles are also equal.

Let interior angle be A.

.

All exterior angles be B.

** Q4 (ii) ** Repeat this activity for the cases of a regular 20-gon

** Answer: **

(ii) a regular 20-gon: It has all 20 angles equal and sum of all eight angles is 3240.Interior angles are equal so exterior angles are also equal.

Let interior angle be A.

.

All exterior angles be B.

** Class 8 maths chapter 3 question answer - Exercise: 3.2 **

** Q1 (a) ** Find in the following figures.

** Answer: **

Sum of all exterior angles of a polygon is

** Q2 (i) ** Find the measure of each exterior angle of a regular polygon of 9 sides

** Answer: **

A regular polygon of 9 sides has all sides, interior angles and exterior angles equal.

Sum of exterior angles of a polygon =

Let the interior angle be A.

Sum of exterior angles of 9 sided polygon =

Exterior angles of 9 sided polygon

Hence, the measure of each exterior angle of a regular polygon of 9 sides is

** Q2 (ii) ** Find the measure of each exterior angle of a regular polygon of 15 sides

** Answer: **

A regular polygon of 15 sides has all sides, interior angles and exterior angles equal.

Sum of exterior angles of a polygon =

Let the interior angle be A.

Sum of exterior angles of 15 sided polygon =

Exterior angles of 15 sided polygon

Hence, the measure of each exterior angle of a regular polygon of 15 sides is

** Q3 ** How many sides does a regular polygon have if the measure of an exterior angle is 24°?

** Answer: **

The measure of an exterior angle is 24°

A regular polygon has all exterior angles equal.

Sum of exterior angles of a polygon =

Let a number of sides be X.

Sum of exterior angles of a polygon =

Exterior angles of 15 sided polygon

Hence, sided regular polygon have measure of an exterior angle 24°

** Q4 ** How many sides does a regular polygon have if each of its interior angles is 165°?

** Answer: **

The measure of each interior angle is 165°

So, measure of each exterior angle = 180°-165° = 15°

Regular polygon has all exterior angles equal.

Let number of sides of polygon = n

Sum of Exterior angles of a polygon =

Hence,regular polygon having each of its interior angles is 165° has 24 sides.

** Q5 (a) ** Is it possible to have a regular polygon with measure of each exterior angle as 22°?

** Answer: **

The measure of an exterior angle is 22°

A regular polygon has all exterior angles equal.

Sum of exterior angles of a polygon =

Let the number of sides be X.

Sum of exterior angles of a polygon =

Exterior angles of 15 sided polygon

Hence, the side of a polygon should be an integer but as shown above, the side is not an integer. So,it is not possible to have a regular polygon with the measure of each exterior angle as 22^{o}.

** Q5 (b) ** Can it be an interior angle of a regular polygon? Why?

** Answer: **

The measure of an interior angle is 22°

A regular polygon has all interior angles equal.

Let the number of sides and number of interior angles be n.

Sum of interior angles of a polygon =

Sum of interior angles of a polygon = =

The number of sides of a polygon should be an integer but since it is not an integer.So, it cannot be a regular polygon with interior angle as 22^{o}

** Q6 (a) ** What is the minimum interior angle possible for a regular polygon? Why?

** Answer: **

Consider a polygon with the lowest number of sides i.e. 3.

Sum of interior angles of 3 sided polygon =

Interior angles of a regular polygon are equal = A .

Hence,the minimum interior angle possible for a regular polygon is .

** Q6 (b) ** What is the maximum exterior angle possible for a regular polygon?

** Answer: **

Let there be a polygon with the minimum number of sides i.e. 3.

Exterior angles an equilateral triangle has a maximum measure.

Sum of exterior angles of polygon =

Let the exterior angle be A.

Hence, the maximum exterior angle possible for a regular polygon is .

** NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Topic: Kinds of Quadrilaterals **

You get a trapezium. (Check it!) Which are the parallel sides here? Should the

non-parallel sides be equal?

You can get two more trapeziums using the same set of triangles. Find them out and

discuss their shapes.

** Answer: **

AB and CD are parallel sides.BC and AD are nonparallel sides. Non-parallel sides need not be equal.

We can get two more trapeziums using the same set of triangles-

and

Fold both the diagonals of the kite. Use the set-square to check if they cut at

right angles. Are the diagonals equal in length? Verify (by paper-folding or measurement) if the diagonals bisect each other. By folding an angle of the kite on its opposite, check for angles of equal measure.

Observe the diagonal folds; do they indicate any diagonal being an angle bisector? Share your findings with others and list them. A summary of these results are given elsewhere in the chapter for your reference. Show that triangle ABC and triangle ADC

are congruent. What do we infer from this?

** Answer ** :

Kite has symmetry along AC diagonal. and are congruent and equal triangles.

Diagonals AC and BD are of different lengths.

Diagonals bisect each other.

The two diagonals AC and BD bisect .

** NCERT Solutions for Class 8 Maths 3 Understanding Quadrilaterals Excercise: Elements of Parallelogram **

** Q1 ** Take cut-outs of two identical parallelograms, say ABCD and A′B′C′D′ (Fig 3.19).

Here is same as except for the name. Similarly the other corresponding

sides are equal too.

Place over . Do they coincide? What can you now say about the lengths

and ?

Similarly examine the lengths and . What do you find?

You may also arrive at this result by measuring and .

** Answer: **

Take cut-outs of two identical parallelograms, say ABCD and A′B′C′D′ (Fig 3.19).

Here is same as .

Also, is same as

Place over . They coincide with each other.

The lengths and are equal and parallel lines.

The lengths and are equal and parallel lines.

Property: The opposite sides of a parallelogram are of equal length.

** Answer: **

Property : The opposite sides of a parallelogram are of equal length.

As we can see in the figure above, the opposite sides of figure are equal.

The figure above is a rectangle which is part of parallelogram.

Hence, the opposite sides of a parallelogram are of equal length.

Property: The opposite angles of a parallelogram are of equal measure.

** Answer: **

As shown in the above figure opposites angles are equal and are equal to .

Hence,the figure obtained help you to confirm the property: The opposite angles of a parallelogram are of equal measure.

** Q4 ** Take a cut-out of a parallelogram, say,

ABCD (Fig 3.29). Let its diagonals and meet at O.

Find the mid point of by a fold, placing C on A. Is the

mid-point same as O?

Does this show that diagonal bisects the diagonal at the point O? Discuss it

with your friends. Repeat the activity to find where the mid point of could lie.

** Answer: **

ABCD . Let its diagonals and meet at O.

The mid point of is at point O.Hence, the

mid-point is same as O.

This show that diagonal bisects the diagonal at the point O.

The mid point of is point O.

** Class 8 maths chapter 3 NCERT Solutions - exercise: 3.3 **

** Q1 (i) ** Given a parallelogram ABCD. Complete each statement along with the definition or property used.

......

** Answer: **

In a parallelogram, opposite sides are equal in lengths.

Hence,

** Q1 (ii) ** Given a parallelogram ABCD. Complete each statement along with the definition or property used.

......

** Answer: **

In a parallelogram ,opposite angles are equal.

(ii)

** Q1 (iii) ** Given a parallelogram ABCD. Complete each statement along with the definition or property used.

......

** Answer: **

In a parallelogram, both diagonals bisect each other.

** Q1 (iv) ** Given a parallelogram ABCD. Complete each statement along with the definition or property used.

.....

** Answer: **

In a parallelogram, adjacent angles are supplementary to each other.

(iv)

** Q2 (i) ** Consider the following parallelograms. Find the values of the unknowns .

** Answer: **

In a parallelogram, adjacent angles are supplementary to each other.

Opposite angles are equal.

Hence, z =

and y = 100

** Q2 (ii) ** Consider the following parallelograms. Find the values of the unknowns .

** Answer: **

( Two adjacent angles are supplementary to each other)

x=y= (opposite angles are equal)

z=x= ( corresponding angles are equal)

** Q2 (iii) ** Consider the following parallelograms. Find the values of the unknowns .

** Answer: **

x= (vertically opposite angles)

(sum of angles of a triangle is )

y=z= (alternate interior angles)

** Q2 (iv) ** Consider the following parallelograms. Find the values of the unknowns .

** Answer: **

(adjacent angles are supplementary)

y = ( opposite angles are equal)

z= (corresponding angles are equal)

** Q2 (v) ** Consider the following parallelograms. Find the values of the unknowns .

** Answer: **

y = (opposite angles are equal)

(adjacent angles are supplementary)

x = z = (alternate angles are equal)

** Q3 (i) ** Can a quadrilateral ABCD be a parallelogram if

** Answer: **

(i)

Opposite angles should be equal and adjacent angles should be supplementary to each other.

are opposite angles.

Hence, a quadrilateral ABCD can be a parallelogram but it is not confirmed.

** Q3 (ii) ** Can a quadrilateral ABCD be a parallelogram if

and ?

** Answer: **

Opposite sides of a parallelogram are equal in length.

Since, and are opposite sides and have different lengths.

No, it is not a parallelogram.

** Q3 (iii) ** Can a quadrilateral ABCD be a parallelogram if and ?

** Answer: **

Opposite angles of a parallelogram are equal

Since here and are different.

So, it is not a parallelogram.

** Answer: **

The above-shown figure shows two opposite angles equal. .

But, it's not a parallelogram because the other two angles are different i.e. .

** Answer: **

The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2.

Sum of adjacent angles is .

Hence, angles are and .

Let there be a parallelogram ABCD then, and . (Opposite angles are equal).

** Answer: **

Given: Two adjacent angles of a parallelogram have equal measure = .

( adjacent angles of a parallelogram are supplementary)

and ( Opposite angles of a parallelogram are equal)

Hence,

** Answer: **

The adjacent figure HOPE is a parallelogram.

(linear pairs)

(opposite angles of a parallelogram are equal)

( adjacent angles are supplementary )

y= (Alternate interior angles are equal)

** Q8 (i) ** The following figures GUNS and RUNS are parallelograms. Find and . (Lengths are in cm)

** Answer: **

GUNS is a parallelogram, so opposite sides are equal in length

Hence, cm and cm.

** Q8 (ii) ** The following figures GUNS and RUNS are parallelograms. Find and . (Lengths are in cm)

** Answer: **

Diagonals of a parallelogram intersect each other.

Hence, cm and cm.

** Q9 ** In the above figure both RISK and CLUE are parallelograms. Find the value of .

** Answer: **

** ( adjacent angles are supplemantary) **

(oppsite angles are equal)

(sum of angles of a triangle is )

** Q10 ** Explain how this figure is a trapezium. Which of its two sides are parallel? (Fig 3.32)

** Answer: **

Given, = .

A transverse line is intersecting two lines such that the sum of angles on the same side of the transversal line is .

And hence, lines KL and MN are parallel to each other.

Quadrilateral KLMN has a pair of parallel lines so it is a trapezium.

** Q12 ** Find the measure of and if in Fig 3.34.

(If you find , is there more than one method to find ?)

** Answer: **

Given,

(angles on the same side of transversal)

(angles on the same side of transversal)

Yes, to find there is more than one method.

PQRS is quadrilateral so the sum of all angles is 360

and we know

so put values of and we get a measurement of

** NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Topic: Squares **

Property: The diagonals of a square are perpendicular bisectors of each other.

** Answer: **

PO = OR ( Square is a type of parallelogram)

By SSS congruency rule, and are congruent triangles.

&

Hence, .

Thus,we can say that the diagonals of a square are perpendicular bisectors of each other

** NCERT Solutions for Class 8 Maths 3 Understanding Quadrilaterals Exercise: 3.4 **

** Q1 (a) ** State whether True or False. All rectangles are squares

** Answer: **

(a). False, All squares are rectangles but all rectangles cannot be square.

** Q1 (b) ** State whether True or False. All rhombuses are parallelograms

** Answer: **

True. The opposite sides of the rhombus are parallel and equal.

** Q1 (c) ** State whether True or False. All squares are rhombuses and also rectangles.

** Answer: **

True. All squares are rhombus because rhombus has opposite sides parallel and equal and same square has.

Also, all squares are rectangles because they have all interior angles as .

** Q1 (d) ** State whether True or False. All squares are not parallelograms.

** Answer: **

False.

All squares have their opposite sides equal and parallel. Hence, they are parallelograms.

** Q1 (e) ** State whether True or False. All kites are rhombuses.

** Answer: **

False,

Kites do not have all sides equal so they are not rhombus.

** Q1 (f) ** State whether True or False. All rhombuses are kites.

** Answer: **

True, all rhombuses are kites because they have two adjacent sides equal.

** Q1 (g) ** State whether True or False. All parallelograms are trapeziums.

** Answer: **

True, all parallelograms are trapezium because they have a pair of parallel sides.

** Q1 (h) ** State whether True or False. All squares are trapeziums.

** Answer: **

True, All squares are trapeziums because all squares have pairs of parallel sides.

** Q2 (a) ** Identify all the quadrilaterals that have. four sides of equal length

** Answer: **

The quadrilateral having four sides of equal length are square and rhombus.

** Q2 (b) ** Identify all the quadrilaterals that have. four right angles

** Answer: **

All the quadrilaterals that have four right angles are rectangle and square

** Q3 (i) ** Explain how a square is a quadrilateral

** Answer: **

A square is a quadrilateral because a square has four sides.

** Q3 (ii) ** Explain how a square is a parallelogram

** Answer: **

A square is a parallelogram because the square has opposite sides parallel to each other.

** Q3 (iii) ** Explain how a square is a rhombus

** Answer: **

A square is a rhombus because a square has four sides equal.

** Q3 (iv) ** Explain how a square is.a rectangle

** Answer: **

A square is a rectangle since it has all interior angles of .

** Q4 (i) ** Name the quadrilaterals whose diagonals bisect each other

** Answer: **

The quadrilaterals whose diagonals bisect each other are square, rectangle, parallelogram and rhombus.

** Q4 (ii) ** Name the quadrilaterals whose diagonals are perpendicular bisectors of each other

** Answer: **

The quadrilaterals whose diagonals are perpendicular bisectors of each other are rhombus and square.

** Q4 (iii) ** Name the quadrilaterals whose diagonals are equal

** Answer: **

The quadrilaterals whose diagonals are equal are squares and rectangles.

** Q5 ** Explain why a rectangle is a convex quadrilateral.

** Answer: **

A rectangle is a convex quadrilateral because it has two diagonals and both lie in the interior of the rectangle.

** Answer: **

Draw line AD and DC such that and .

and

ABCD is a rectangle as it has opposite sides equal and parallel.

All angles of the rectangle are and a rectangle has two diagonals equal and bisect each other.

Hence, AO = BO = CO = DO

O is equidistant from A,B,C,D.

** NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Topic: Rectangle **

** Answer: **

(1).All the properties of a parallelogram.

(2) Each of the angles is a right angle.

(3) Diagonals are equal

** Class 8 understanding quadrilaterals NCERT Solutions - Topic: Square **

** Q2 ** A square was defined as a rectangle with all sides equal. Can we define it as

rhombus with equal angles? Explore this idea.

** Answer: **

Properties of the rectangle are :

(1) All the properties of a parallelogram.

(2) Each of the angles is a right angle.

(3) Diagonals are equal.

A square satisfies all the properties of rectangles so ** a ** square can be defined as a rectangle with all sides equal.

Properties of a rhombus are :

(1) All the properties of a parallelogram.

(2) Diagonals are perpendicular to each other.

A square satisfies all the properties of the rhombus so we can define it as

rhombus with equal angles.

** NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Topic: Trapezium **

** Q3 ** Can a trapezium have all angles equal? Can it have all sides equal? Explain.

** Answer: **

Trapezium has two sides parallel and the other two sides are non-parallel. Parallel sides may be equal or unequal but we cannot have a trapezium with all sides and angles equal.

- Polygons
- Sum of the Measures of the Exterior Angles of a Polygon
- Kinds of Quadrilaterals
- Some Special Parallelograms

Chapter -1 | |

Chapter -2 | |

Chapter-3 | Understanding Quadrilaterals |

Chapter-4 | |

Chapter-5 | |

Chapter-6 | |

Chapter-7 | |

Chapter-8 | |

Chapter-9 | |

Chapter-10 | |

Chapter-11 | |

Chapter-12 | |

Chapter-13 | |

Chapter-14 | |

Chapter-15 | |

Chapter-16 |

**Clarity of Concepts:** In this maths chapter 3 class 8 we are ocusing on clarifying the fundamental properties and properties of different types of quadrilaterals.

**Real-Life Applications:** Explaining how the concepts of quadrilaterals are applied in practical situations and in geometry.

**Practice Questions:** Additional practice problems to reinforce learning and problem-solving skills. Students can practice class 8 maths ch 3 question answer using the pdf.

How to use NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals?

- Read about different types of quadrilaterals and their properties.
- Learn how to use their properties in specific questions using the solved examples.
- Practice the problems given in the NCERT textbook.
- During the practice, if you find a problem in solving any of the questions you can use NCERT solutions for Class 8 Maths chapter 3 Understanding Quadrilaterals.

* Keep working hard and happy learning! *

**Also Check NCERT Books and NCERT Syllabus here:**

1. What are the important topics of chapter Understanding Quadrilaterals ?

Constructing a Quadrilateral

- when the lengths of four sides and a diagonal are given, when two diagonals and three sides are given
- When two adjacent sides and three angles are known
- When three sides and two included angles are given

are the important topics of this chapter.

2. How many chapters are there in the CBSE class 8 maths ?

There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.

3. Does CBSE provides the solutions of NCERT for class 8 ?

No, CBSE doesn’t provide NCERT solutions for any class or subject.

4. Where can I find the complete solutions of NCERT for class 8 ?

Here you will get the detailed NCERT solutions for class 8 by clicking on the link.

5. How does the NCERT solutions are helpful ?

NCERT solutions are provided in a very detailed manner which will give the conceptual clarity to the students. Also, students can take help from these solutions when they are not able to solve them on their own.

Exam Date:08 February,2024 - 28 February,2024

Exam Date:19 February,2024 - 27 February,2024

Get answers from students and experts

Database professionals use software to store and organise data such as financial information, and customer shipping records. Individuals who opt for a career as data administrators ensure that data is available for users and secured from unauthorised sales. DB administrators may work in various types of industries. It may involve computer systems design, service firms, insurance companies, banks and hospitals.

4 Jobs Available

The field of biomedical engineering opens up a universe of expert chances. An Individual in the biomedical engineering career path work in the field of engineering as well as medicine, in order to find out solutions to common problems of the two fields. The biomedical engineering job opportunities are to collaborate with doctors and researchers to develop medical systems, equipment, or devices that can solve clinical problems. Here we will be discussing jobs after biomedical engineering, how to get a job in biomedical engineering, biomedical engineering scope, and salary.

4 Jobs Available

A career as ethical hacker involves various challenges and provides lucrative opportunities in the digital era where every giant business and startup owns its cyberspace on the world wide web. Individuals in the ethical hacker career path try to find the vulnerabilities in the cyber system to get its authority. If he or she succeeds in it then he or she gets its illegal authority. Individuals in the ethical hacker career path then steal information or delete the file that could affect the business, functioning, or services of the organization.

3 Jobs Available

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available

A career as water manager needs to provide clean water, preventing flood damage, and disposing of sewage and other wastes. He or she also repairs and maintains structures that control the flow of water, such as reservoirs, sea defense walls, and pumping stations. In addition to these, the Manager has other responsibilities related to water resource management.

3 Jobs Available

Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

3 Jobs Available

The role of geotechnical engineer starts with reviewing the projects needed to define the required material properties. The work responsibilities are followed by a site investigation of rock, soil, fault distribution and bedrock properties on and below an area of interest. The investigation is aimed to improve the ground engineering design and determine their engineering properties that include how they will interact with, on or in a proposed construction.

The role of geotechnical engineer in mining includes designing and determining the type of foundations, earthworks, and or pavement subgrades required for the intended man-made structures to be made. Geotechnical engineering jobs are involved in earthen and concrete dam construction projects, working under a range of normal and extreme loading conditions.

3 Jobs Available

Individuals in the operations manager jobs are responsible for ensuring the efficiency of each department to acquire its optimal goal. They plan the use of resources and distribution of materials. The operations manager's job description includes managing budgets, negotiating contracts, and performing administrative tasks.

3 Jobs Available

Budget analysis, in a nutshell, entails thoroughly analyzing the details of a financial budget. The budget analysis aims to better understand and manage revenue. Budget analysts assist in the achievement of financial targets, the preservation of profitability, and the pursuit of long-term growth for a business. Budget analysts generally have a bachelor's degree in accounting, finance, economics, or a closely related field. Knowledge of Financial Management is of prime importance in this career.

4 Jobs Available

3 Jobs Available

A career as a Finance Executive requires one to be responsible for monitoring an organisation's income, investments and expenses to create and evaluate financial reports. His or her role involves performing audits, invoices, and budget preparations. He or she manages accounting activities, bank reconciliations, and payable and receivable accounts.

3 Jobs Available

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available

An Investment Banking career involves the invention and generation of capital for other organizations, governments, and other entities. Individuals who opt for a career as Investment Bankers are the head of a team dedicated to raising capital by issuing bonds. Investment bankers are termed as the experts who have their fingers on the pulse of the current financial and investing climate. Students can pursue various Investment Banker courses, such as Banking and Insurance, and Economics to opt for an Investment Banking career path.

3 Jobs Available

An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.

3 Jobs Available

A Commercial Manager negotiates, advises and secures information about pricing for commercial contracts. He or she is responsible for developing financial plans in order to maximise the business's profitability.

2 Jobs Available

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

5 Jobs Available

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available

Individuals in the architecture career are the building designers who plan the whole construction keeping the safety and requirements of the people. Individuals in architect career in India provides professional services for new constructions, alterations, renovations and several other activities. Individuals in architectural careers in India visit site locations to visualize their projects and prepare scaled drawings to submit to a client or employer as a design. Individuals in architecture careers also estimate build costs, materials needed, and the projected time frame to complete a build.

2 Jobs Available

Having a landscape architecture career, you are involved in site analysis, site inventory, land planning, planting design, grading, stormwater management, suitable design, and construction specification. Frederick Law Olmsted, the designer of Central Park in New York introduced the title “landscape architect”. The Australian Institute of Landscape Architects (AILA) proclaims that "Landscape Architects research, plan, design and advise on the stewardship, conservation and sustainability of development of the environment and spaces, both within and beyond the built environment". Therefore, individuals who opt for a career as a landscape architect are those who are educated and experienced in landscape architecture. Students need to pursue various landscape architecture degrees, such as M.Des, M.Plan to become landscape architects. If you have more questions regarding a career as a landscape architect or how to become a landscape architect then you can read the article to get your doubts cleared.

2 Jobs Available

An expert in plumbing is aware of building regulations and safety standards and works to make sure these standards are upheld. Testing pipes for leakage using air pressure and other gauges, and also the ability to construct new pipe systems by cutting, fitting, measuring and threading pipes are some of the other more involved aspects of plumbing. Individuals in the plumber career path are self-employed or work for a small business employing less than ten people, though some might find working for larger entities or the government more desirable.

2 Jobs Available

Urban Planning careers revolve around the idea of developing a plan to use the land optimally, without affecting the environment. Urban planning jobs are offered to those candidates who are skilled in making the right use of land to distribute the growing population, to create various communities.

Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.

2 Jobs Available

Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.

2 Jobs Available

Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.

2 Jobs Available

Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.

6 Jobs Available

A veterinary doctor is a medical professional with a degree in veterinary science. The veterinary science qualification is the minimum requirement to become a veterinary doctor. There are numerous veterinary science courses offered by various institutes. He or she is employed at zoos to ensure they are provided with good health facilities and medical care to improve their life expectancy.

5 Jobs Available

A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.

5 Jobs Available

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.

4 Jobs Available

An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.

3 Jobs Available

The audiologist career involves audiology professionals who are responsible to treat hearing loss and proactively preventing the relevant damage. Individuals who opt for a career as an audiologist use various testing strategies with the aim to determine if someone has a normal sensitivity to sounds or not. After the identification of hearing loss, a hearing doctor is required to determine which sections of the hearing are affected, to what extent they are affected, and where the wound causing the hearing loss is found. As soon as the hearing loss is identified, the patients are provided with recommendations for interventions and rehabilitation such as hearing aids, cochlear implants, and appropriate medical referrals. While audiology is a branch of science that studies and researches hearing, balance, and related disorders.

3 Jobs Available

Cardiothoracic surgeons are an important part of the surgical team. They usually work in hospitals, and perform emergency as well as scheduled operations. Some of the cardiothoracic surgeons also work in teaching hospitals working as teachers and guides for medical students aspiring to become a cardiothoracic surgeon. A career as a cardiothoracic surgeon involves treating and managing various types of conditions within their speciality that includes their presence at different locations such as outpatient clinics, team meetings, and ward rounds.

2 Jobs Available

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.

4 Jobs Available

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages.

Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available

The career as a Talent Agent is filled with responsibilities. A Talent Agent is someone who is involved in the pre-production process of the film. It is a very busy job for a Talent Agent but as and when an individual gains experience and progresses in the career he or she can have people assisting him or her in work. Depending on one’s responsibilities, number of clients and experience he or she may also have to lead a team and work with juniors under him or her in a talent agency. In order to know more about the job of a talent agent continue reading the article.

If you want to know more about talent agent meaning, how to become a Talent Agent, or Talent Agent job description then continue reading this article.

3 Jobs Available

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available

An individual who is pursuing a career as a producer is responsible for managing the business aspects of production. They are involved in each aspect of production from its inception to deception. Famous movie producers review the script, recommend changes and visualise the story.

They are responsible for overseeing the finance involved in the project and distributing the film for broadcasting on various platforms. A career as a producer is quite fulfilling as well as exhaustive in terms of playing different roles in order for a production to be successful. Famous movie producers are responsible for hiring creative and technical personnel on contract basis.

2 Jobs Available

Fashion bloggers use multiple social media platforms to recommend or share ideas related to fashion. A fashion blogger is a person who writes about fashion, publishes pictures of outfits, jewellery, accessories. Fashion blogger works as a model, journalist, and a stylist in the fashion industry. In current fashion times, these bloggers have crossed into becoming a star in fashion magazines, commercials, or campaigns.

2 Jobs Available

Photography is considered both a science and an art, an artistic means of expression in which the camera replaces the pen. In a career as a photographer, an individual is hired to capture the moments of public and private events, such as press conferences or weddings, or may also work inside a studio, where people go to get their picture clicked. Photography is divided into many streams each generating numerous career opportunities in photography. With the boom in advertising, media, and the fashion industry, photography has emerged as a lucrative and thrilling career option for many Indian youths.

2 Jobs Available

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.

5 Jobs Available

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion.

Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article.

3 Jobs Available

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available

Content writing is meant to speak directly with a particular audience, such as customers, potential customers, investors, employees, or other stakeholders. The main aim of professional content writers is to speak to their targeted audience and if it is not then it is not doing its job. There are numerous kinds of the content present on the website and each is different based on the service or the product it is used for.

2 Jobs Available

Individuals who opt for a career as a reporter may often be at work on national holidays and festivities. He or she pitches various story ideas and covers news stories in risky situations. Students can pursue a BMC (Bachelor of Mass Communication), B.M.M. (Bachelor of Mass Media), or MAJMC (MA in Journalism and Mass Communication) to become a reporter. While we sit at home reporters travel to locations to collect information that carries a news value.

2 Jobs Available

Linguistic meaning is related to language or Linguistics which is the study of languages. A career as a linguistic meaning, a profession that is based on the scientific study of language, and it's a very broad field with many specialities. Famous linguists work in academia, researching and teaching different areas of language, such as phonetics (sounds), syntax (word order) and semantics (meaning).

Other researchers focus on specialities like computational linguistics, which seeks to better match human and computer language capacities, or applied linguistics, which is concerned with improving language education. Still, others work as language experts for the government, advertising companies, dictionary publishers and various other private enterprises. Some might work from home as freelance linguists. Philologist, phonologist, and dialectician are some of Linguist synonym. Linguists can study French, German, Italian.

2 Jobs Available

5 Jobs Available

3 Jobs Available

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product.

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available

A Team Leader is a professional responsible for guiding, monitoring and leading the entire group. He or she is responsible for motivating team members by providing a pleasant work environment to them and inspiring positive communication. A Team Leader contributes to the achievement of the organisation’s goals. He or she improves the confidence, product knowledge and communication skills of the team members and empowers them.

2 Jobs Available

The procurement Manager is also known as Purchasing Manager. The role of the Procurement Manager is to source products and services for a company. A Procurement Manager is involved in developing a purchasing strategy, including the company's budget and the supplies as well as the vendors who can provide goods and services to the company. His or her ultimate goal is to bring the right products or services at the right time with cost-effectiveness.

2 Jobs Available

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems.

4 Jobs Available

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party.

4 Jobs Available

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available

3 Jobs Available

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack

3 Jobs Available

Big Data Analytics Engineer Job Description: A Big Data Analytics Engineer is responsible for collecting data from various sources. He or she has to sort the organised and chaotic data to find out patterns. The role of Big Data Engineer involves converting messy information into useful data that is clean, accurate and actionable.

2 Jobs Available

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