---
title: "NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1"
url: https://www.swavid.com/maths/class/10/chapter/triangles/ncert-solutions/exercise-6-1
dateModified: 2026-10-07T15:51:34+00:00
---

# NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1

Chapter 6: Triangles. Every question from Exercise 6.1, with full working and the final answer.

Free PDF (16 pages): https://www.swavid.com/api/seo/pdf/ncert/maths/class-10/swavid-ncert-solutions-class-10-maths-chapter-6-triangles-39bb043ebf.pdf

## EXERCISE 6.1

### Question 1

*1 mark · Fill in the blank*

Fill in the blanks using the correct word given in brackets :
(i) All circles are $\rule{1cm}{0.15mm}$.
(ii) All squares are $\rule{1cm}{0.15mm}$.
(iii) All $\rule{1cm}{0.15mm}$ triangles are similar.
(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are $\rule{1cm}{0.15mm}$ and (b) their corresponding sides are $\rule{1cm}{0.15mm}$.

**Part (i)**

1. All circles have the same shape but can have different radii.

Answer (i): similar

**Part (ii)**

1. All squares have the same shape with identical interior angles and proportional sides.

Answer (ii): similar

**Part (iii)**

1. All equilateral triangles have equal angles ($60^\circ$) and proportional sides.

Answer (iii): equilateral

**Part (iv)**

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

Answer (iv): equal, proportional

**Answer:** (i) similar, (ii) similar, (iii) equilateral, (iv) equal, proportional

> Common mistake: Confusing congruent figures with similar figures.

### Question 2

*3 marks · Short answer*

Give two different examples of pair of
(i) similar figures.
(ii) non-similar figures.

**Part (i)**

1. Two figures are similar if they have the same shape but not necessarily the same size.
2. Example 1: Any two circles of different radii.
3. Example 2: Any two equilateral triangles of different side lengths.

Answer (i): Two circles of different radii, Two equilateral triangles of different side lengths

**Part (ii)**

1. Two figures are non-similar if they do not have the same shape.
2. Example 1: A triangle and a square.
3. Example 2: A triangle and a circle.

Answer (ii): A triangle and a square, A triangle and a circle

**Answer:** Provided pairs of similar and non-similar figures.

> Common mistake: Giving figures of different shapes for similar figures.

### Question 3

*3 marks · Short answer*

State whether the following quadrilaterals are similar or not:

**Solution**

1. Examine the given figure (Fig. 6.8) which shows a rhombus with side $1.5\text{ cm}$ and a square with side $3\text{ cm}$.
2. Check the ratio of corresponding sides: $\frac{1.5}{3} = \frac{1.5}{3} = \frac{1.5}{3} = \frac{1.5}{3} = \frac{1}{2}$, so the sides are proportional.
3. Check the corresponding angles: the square has each angle equal to $90^\circ$, whereas the rhombus does not have right angles.
4. Since the corresponding angles are not equal, the two quadrilaterals are not similar.

**Answer:** The given quadrilaterals are not similar because their corresponding angles are not equal.

> Common mistake: Concluded similarity by checking only the side proportions without verifying the angles.

## Related pages

- [All Chapter 6 NCERT solutions](https://www.swavid.com/maths/class/10/chapter/triangles/ncert-solutions)
- [Exercise 6.2](https://www.swavid.com/maths/class/10/chapter/triangles/ncert-solutions/exercise-6-2)
- [Exercise 6.3](https://www.swavid.com/maths/class/10/chapter/triangles/ncert-solutions/exercise-6-3)

Solutions written by SwaVid, a personal AI tutor for Class 6 to 10 Maths and Science. Practise this chapter free: https://www.swavid.com/start/student