Exercise 6.1 Practice

(Similar Questions)

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

(i) All equilateral triangles are __________. (congruent, similar)
(ii) All rectangles having equal lengths and breadths are __________. (similar, congruent)
(iii) All __________ triangles are similar. (right-angled, equilateral)
(iv) Two polygons having the same number of sides are similar if their corresponding angles are __________ and their corresponding sides are __________. (equal, proportional)

(i) similar

(ii) congruent

(iii) equilateral

(iv) equal, proportional

All blanks filled correctly

Give two different examples each of:

(i) A pair of similar figures
(ii) A pair of figures which are not similar

(i) Two circles of different radii; two squares of different side lengths

(ii) A square and a rectangle; a triangle and a pentagon

Examples correctly identified

Two pentagons have their corresponding angles equal, but the ratios of their corresponding sides are not the same. State whether these two pentagons are similar. Give reasons for your answer.

For similarity of polygons, both conditions must be satisfied.

Here, angles are equal but sides are not proportional.

The pentagons are NOT similar

Two quadrilaterals have their corresponding sides in the same ratio, but their corresponding angles are not equal. Are the two quadrilaterals similar? Justify your answer.

Similarity requires equal corresponding angles.

Given condition violates angle equality.

The quadrilaterals are NOT similar

Three photographs of the same building are taken from the same position but printed in different sizes. State whether these photographs are similar or congruent. Give reasons.

All photographs have the same shape.

Sizes are different, so they are not congruent.

The photographs are similar but not congruent

← Exercise 5.4 Exercise 6.2 →