**Triangles**

**Question 1.****Fill in the blanks by using the correct word given in brackets.**

**(i)** All circles are……………..** (congruent/similar)****(ii)** All squares are……………. **(similar/congruent)****(iii)** All …………….. triangles are similar. **(isosceles/equilateral)****(iv)** 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)** equal, proportional

**Question 2.****Give two different examples of pair of**

**(i)** similar figures.**(ii)** non-similar figures.

**Solution:**

**(i) Similar figures:**A pair of equilateral triangles of different side lengths, a pair of two rectabgles of different lengths and breadths, etc.

**(ii) Non-similar figures:**A pair of a rectangle and a parallelogram with angles not equal to 90°, a pair of an isosceles triangle and a scalene triangle, etc.

**Question 3.****State whether the following quadrilaterals are similar or not.**

Solution:

The given quadrilaterals are not similar, because their corresponding angles are not equal.