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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.

This Story also Contains
  1. NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1
  2. Download Free Pdf of NCERT Solutions for Class 10 Maths chapter 6 exercise 6.1
  3. Assess NCERT Solutions for Class 10 Maths chapter 6 exercise 6.1
  4. Triangles Class 10 Chapter 6 Exercise: 6.1
  5. More About NCERT Solutions for Class 10 Maths Exercise 6.1
  6. Benefits of NCERT Solutions for Class 10 Maths Exercise 6.1
  7. NCERT Solutions of Class 10 Subject Wise
  8. Subject Wise NCERT Exemplar Solutions
NCERT Solutions for Exercise 6.1 Class 10 Maths Chapter 6 - Triangles
NCERT Solutions for Exercise 6.1 Class 10 Maths Chapter 6 - Triangles

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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Download Free Pdf of NCERT Solutions for Class 10 Maths chapter 6 exercise 6.1

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Assess NCERT Solutions for Class 10 Maths chapter 6 exercise 6.1

Triangles Class 10 Chapter 6 Exercise: 6.1

Q1 (1) Fill in the blanks using the correct word given in brackets: All circles are ______ . (congruent, similar)

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.

Q1 (2) Fill in the blanks using the correct word given in brackets: All squares are ______. (similar, congruent)

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.

Q1 (3) Fill in the blanks using the correct word given in brackets: All ______triangles are similar. (isosceles, equilateral)

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.

Q1 (4) Fill in the blanks using the correct word given in brackets : (iv) Two polygons of the same number of sides are similar if(a) there corresponding angles are _________and (b) their corresponding sides are________. (equal, proportional)

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

Q2 (1) Give two different examples of a pair of similar figures.

Answer:

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

1. Two circles with different radii.

1635922757481

2. Two rectangles with different breadth and length.

1635922782211

Q2 (2) Give two different examples of a pair of non-similar figures.

Answer:

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

1.Rectangle and circle

1635922829572

2. A circle and a triangle.

1635922838551

Q3 State whether the following quadrilaterals are similar or not:

1635922858166

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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NCERT Solutions of Class 10 Subject Wise

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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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