- 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
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
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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