NCERT Solutions for Exercise 6.1 Class 10 Maths Chapter 6 - Triangles

# NCERT Solutions for Exercise 6.1 Class 10 Maths Chapter 6 - Triangles

Edited By Ramraj Saini | Updated on Nov 17, 2023 05:07 PM IST | #CBSE Class 10th

## NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1

NCERT Solutions for Exercise 6.1 Class 10 Maths Chapter 6 Triangles are discussed here. These NCERT solutions are created by subject matter expert at Careers360 considering the latest syllabus and pattern of CBSE 2023-24. Class 10 maths ex 6.1 concentrates on triangles and their theorems that were taught to us in previous classes. Here we will discover the meaning of comparable triangles, and learn how comparable geometric forms differ and why they're grouped together. These distinctions between similar geometric shapes will aid your understanding of how these triangles differ.

NCERT solutions for exercise 6.1 Class 10 Maths chapter 6 Triangles discusses about the concept of geometry and help us to grasp new ideas in advanced classes. 10th class Maths exercise 6.1 answers are designed as per the students demand covering comprehensive, step by step solutions of every problem. Practice these questions and answers to command the concepts, boost confidence and in depth understanding of concepts. Students can find all exercise together using the link provided below.

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## Triangles Class 10 Chapter 6 Exercise: 6.1

Answer:

All circles are similar.

Since all the circles have a similar shape. They may have different radius but the shape of all circles is the same.

Therefore, all circles are similar.

Answer:

All squares are similar.

Since all the squares have a similar shape. They may have a different side but the shape of all square is the same.

Therefore, all squares are similar.

### Answer:

All equilateral triangles are similar.

Since all the equilateral triangles have a similar shape. They may have different sides but the shape of all equilateral triangles is the same.

Therefore, all equilateral triangles are similar.

### Answer:

Two polygons of the same number of sides are similar if their corresponding angles are equal and their corresponding sides are proportional.

Thus, (a) equal

(b) proportional

### Answer:

The two different examples of a pair of similar figures are :

1. Two circles with different radii.

2. Two rectangles with different breadth and length.

### Answer:

The two different examples of a pair of non-similar figures are :

1.Rectangle and circle

2. A circle and a triangle.

### Answer:

Quadrilateral PQRS and ABCD are not similar as their corresponding sides are proportional i.e. $1:2$ but their corresponding angles are not equal.

## More About NCERT Solutions for Class 10 Maths Exercise 6.1

NCERT solutions for Class 10 Maths exercise 6.1- Triangles covers all of the fundamental concepts that serve as the foundation for the more complex sections that will follow later in this chapter. This section deals with the similarity concept which follows that If we are given two figures with the same number of sides and if

1. their corresponding angles are equal and

2. their corresponding sides are in the same ratio,

Then the figures are considered to be equal. This assertion has been supported by examples in this exercise. NCERT solutions Class 10 Maths chapter 6 exercise 6.1 is brief and to-the-point, but it is critical for the examination. This exercise assesses students' abilities, and exam questions based on these topics are common. Students can also access Triangles Class 10 Notes here and use them for quickly revision of the concepts related to Triangles.

## Benefits of NCERT Solutions for Class 10 Maths Exercise 6.1

• NCERT solutions for Class 10 Maths exercise 6.1 provides us with a common idea of some figures that are always similar to each other no matter their size. Examples, squares, circles, regular polygons.
• Exercise 6.1 Class 10 Maths, is based on similar and concurrent figures and their properties.
• Class 10 Maths chapter 6 exercise 6.1 also deals with the similarity of other figures like quadrilaterals apart from triangles.

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## Subject Wise NCERT Exemplar Solutions

### Frequently Asked Question (FAQs)

1. Can a triangle and square be similar to each other?

No, because they have different number of sides. Triangle has three and square has 4

2. What are similar figures?

Two figures are similar to each other if they have the same shape but are of different size.

3. What is the sum of all the angels of a triangle?

Sum of the angels of a triangle is 180 degrees.

4. What are the conditions for two figures to be similar according to NCERT Solutions for Class 10 Maths Exercise 6.1?

Two figures with same number of sides are similar if

1. their corresponding angles are equal and

2. their corresponding sides are in the same ratio,

5. Can two circles of any radius be similar to each other?

Yes, any two given circles are always similar to each other.

6. Why can’t a rectangle and a square be similar to each other?

Because, the sides of rectangle are not equal to each other. Thus, the ratio of sides is not same for all the sides.

7. Does similarity mean the figures are congruent?

No, similarity means that the figures are just of same shape it doesn’t mean that they are equal.

8. Can we proof that any two regular polygons of same side are similar to each other?

Yes, if their number of sides are equal to each other then the two are similar.

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### Questions related to CBSE Class 10th

Have a question related to CBSE Class 10th ?

Hello

The Sadhu Ashram in Aligarh is located in Chhalesar . The ashram is open every day of the week, except for Thursdays . On Mondays, Wednesdays, and Saturdays, it's open from 8:00 a.m. to 7:30 p.m., while on Tuesdays and Fridays, it's open from 7:30 a.m. to 7:30 p.m. and 7:30 a.m. to 6:00 a.m., respectively . Sundays have varying hours from 7:00 a.m. to 8:30 p.m. . You can find it at Chhalesar, Aligarh - 202127 .

Hello Aspirant,  Hope your doing great,  your question was incomplete and regarding  what exam your asking.

Yes, scoring above 80% in ICSE Class 10 exams typically meets the requirements to get into the Commerce stream in Class 11th under the CBSE board . Admission criteria can vary between schools, so it is advisable to check the specific requirements of the intended CBSE school. Generally, a good academic record with a score above 80% in ICSE 10th result is considered strong for such transitions.

hello Zaid,

Yes, you can apply for 12th grade as a private candidate .You will need to follow the registration process and fulfill the eligibility criteria set by CBSE for private candidates.If you haven't given the 11th grade exam ,you would be able to appear for the 12th exam directly without having passed 11th grade. you will need to give certain tests in the school you are getting addmission to prove your eligibilty.

best of luck!

According to cbse norms candidates who have completed class 10th, class 11th, have a gap year or have failed class 12th can appear for admission in 12th class.for admission in cbse board you need to clear your 11th class first and you must have studied from CBSE board or any other recognized and equivalent board/school.

You are not eligible for cbse board but you can still do 12th from nios which allow candidates to take admission in 12th class as a private student without completing 11th.

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

 Option 1) Option 2) Option 3) Option 4)

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

 Option 1) 2.45×10−3 kg Option 2)  6.45×10−3 kg Option 3)  9.89×10−3 kg Option 4) 12.89×10−3 kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

 Option 1) Option 2) Option 3) Option 4)

A particle is projected at 600   to the horizontal with a kinetic energy . The kinetic energy at the highest point

 Option 1) Option 2) Option 3) Option 4)

In the reaction,

 Option 1)   at STP  is produced for every mole   consumed Option 2)   is consumed for ever      produced Option 3) is produced regardless of temperature and pressure for every mole Al that reacts Option 4) at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, will contain 0.25 mole of oxygen atoms?

 Option 1) 0.02 Option 2) 3.125 × 10-2 Option 3) 1.25 × 10-2 Option 4) 2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

 Option 1) decrease twice Option 2) increase two fold Option 3) remain unchanged Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

 Option 1) Molality Option 2) Weight fraction of solute Option 3) Fraction of solute present in water Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

 Option 1) twice that in 60 g carbon Option 2) 6.023 × 1022 Option 3) half that in 8 g He Option 4) 558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

 Option 1) less than 3 Option 2) more than 3 but less than 6 Option 3) more than 6 but less than 9 Option 4) more than 9
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