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) 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:

1: (i) Similar

(ii) Similar

(iii) Equilateral

(iv) (a) Equal (b) Proportional Question

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

Solution:

(i) (a) Two equilateral triangles with sides 1 cm and 2 cm

(b) Two squares with sides 1 cm and 2 cm

(ii) (a) Trapezium and square

(b) Triangle and parallelogram

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

Solution:

Quadrilateral PQRS and ABCD are not similar as their corresponding sides are proportional, i.e. 1:2, but their corresponding angles are not equal.

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