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 $1 cm$ and $2 cm$

Two squares with sides $1 cm$ and $2 cm$

(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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