## NCERT solutions for class 10 Maths

**Chapter 6**

## Triangles

**Exercise 6.1**

**Ex 6.1 Question 1.**

**Fill in the blanks using correct word given in the brackets:-**

**(i) All circles are __________. (congruent, similar)**

**(ii) All squares are __________. (similar, congruent)**

**(iii) All __________ triangles are similar. (isosceles, equilateral)**

**(iv)(a) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and **

**(b) their corresponding sides are __________. (equal, proportional)**

**Solution:**

(i) Similar

(ii) Similar

(iii) Equilateral

(iv) (a) Equal

(b) Proportional

**Ex 6.1 Question 2.**

** Give two different examples of pair of
(i) Similar figures
(ii) Non-similar figures**

**Solution:**

(i) Similar figures

Two equilateral triangles with sides 1 cm and 2 cm.

Two squares with sides 1 cm and 2 cm

(ii) Non-similar figures

Trapezium and Square

Triangle and Parallelogram

**Ex 6.1 Question 3.**

**State whether the following quadrilaterals are similar or not:**

**Solution:**

The side of quadrilateral PQRS and ABCD are in the same ratio, i.e. 1:2. The corresponding angles of the two quadrilateral are not equal.

Hence, the quadrilateral is not similar.