Triangles Exercise 6.1

Before proceeding to next exercise, we need to know the following facts :

* All congruent figures are similar but the similar figures need not to be congruent.

All square or rectangles or triangles may be similar in figure but need to be have same length of sides , so they may not be congruent.

* Two polygons of the same number of sides are similar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion).

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)

Solution:

(i) similar

(ii) similar

(iii) euilateral

(iv) equal , Proportional

2. Give two different examples of pair of

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

Solution:
(i) two equilateral triangles of side 5 cm and 10 cm.

(ii) A Parellogram and a quadrilateral

3. State whether the following quadrilaterals are similar or not

Solution:

For two figures to be similar, corresponding angles must be same, but in above figures angles are different but sides are in proportion.

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