Chapter 06 Triangles Exercise-01

EXERCISE 6.1

1. 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)

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Solution

(i) Similar

(ii) Similar

(iii) Equilateral

(iv) (a) Equal

(b) Proportional

2. Give two different examples of pair of

(i) similar figures.

(ii) non-similar figures.

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Solution

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

Two squares with sides 1cm and 2cm

(ii) Trapezium and square

Triangle and parallelogram

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

Fig. 6.8

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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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