Question

Fill in the blanks with the correct word given in brackets:

(i) All squares are having the same length of sides are……….
[similar, congruent, both congruent and similar]

(ii) All circles having the same radius are ……….
[similar, congruent, both congruent and similar]

(iii) All rhombuses having one angle 90^o ………. [similar, congruent]

(iv) All photographs of a given building made by the same negative are ………..
[similar, congruent, both congruent and similar]

(v) Two polygons having equal numbers of sides are similar if their corresponding angles are equal and their corresponding sides are ……….
[equal, proportional]

Answer 1

Both congruent and similar because

(a) all squares have same shape and size

(b) their corresponding angles are equal

(c) their corresponding sides are proportional

Both congruent and similar because all circles have same shape and size

(iii) Similar because all rhombuses have the same angle, but size can vary.

(iv) Similar because all photographs have the same shape but not necessarily the same size.

(v) Two polygons having equal numbers of sides are similar if their corresponding angles are equal and their corresponding sides are Proportional