Exercise 1

1. Fill in the blanks using the correct word given in brackets :

(i) All circles are similarcongruent

(ii) All squares are similarcongruent

(iii) All equilateralisosceles triangles are similar.

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

2. Give two different examples of pair of

(i)

(i) similar figures.

Two equilateral triangles of sides 2 cm and 6 cm.

PQRS ∼= UVWX

(ii)

(ii) Draw a non-similar figures.

A triangle and a parallelogram.

3. State whether the following quadrilaterals are similar or not:

Solution:

In quadrilaterals ABCD and ,

ABPQ = BCQR = CDRS = DASP

⇒ Corresponding sides are in proportion.

But ∠A ≠ ∠; ∠B ≠ ∠

Thus, corresponding angles are not .

NoYes,

Quadrilateral ABCD is not similar to Quadrilateral PQRS.