Table of contents  
Exercise 6.1 
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Q1. Fill in the blanks 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).
Ans: (i) All circles are similar.
(ii) All squares are similar.
(iii) All equilateral triangles are similar.
(iv) Two polygons of the same number of sides are similar if:
(a) Their corresponding angles are equal and
(b) Their corresponding sides are proportional.
Q2. Give two different examples of pair of:
(i) similar figures
(ii) nonsimilar figures.
Ans:
(i).
(a) Any two circles are similar figures.
(b) Any two squares are similar figures.
(ii).
(a) A circle and a triangle are nonsimilar figures.
(b) An isosceles triangle and a scalene triangle are nonsimilar figures.
Q3. State whether the following quadrilaterals are similar or not.
Ans: No, the sides of quadrilateral PQRS and ABCD are proportional but their corresponding angles are not equal.
∴ These are not similar.
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