Exercise 6.1

1.Fill in the blanks using the correct word given in brackets :

(i)All circles are similar. (congruent, similar)

(ii)All squares are similar. (similar, congruent)

(iii)All equilateral triangles are similar. (isosceles, equilateral)

(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.(equal, proportional)

2.Give two different examples of pair of

(i)similar figures. (ii)non-similar figures.

Sol.i)a)Any two circles

b)Any two squares

ii)a)An equilateral triangle and a scalene triangle. i.e. a triangle whose no two sides are equal.

b)An equilateral triangle and a right – angled triangle.

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

Sol.No, because the corresponding angles are not equal

(The first figure is a rhombus and the second is a square).