Q3 of 65 Page 122

State whether the following quadrilaterals are similar or not:

The given quadrilateral PQRS and ABCD are not similar because though their corresponding sides are proportional, i.e. 1:2, but their corresponding angles are not equal.


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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)

 2

Give two different examples of pair of

(i) Similar figures


(ii) Non-similar figures

 1

In Fig. 6.17, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii)

 2

E and F are points on the sides PQ and PR respectively of a Δ PQR. For each of the following cases, state whether EF || QR :

(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm


(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm


(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm