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Question:

State whether the above quadrilaterals are similar or not?

Solution:

We know that, two figures are similar if their corresponding angles are congruent and the ratios of their corresponding sides are equal. From the given two figures, AB/PQ = BC/QR = CD/RS = DA/SP = 3/1.5 = 2. But, ∠SPQ is not equal to ∠DAB; ∠PQR is not equal to ∠ABC; ∠QRS is not equal to ∠BCD; ∠RSP is not equal to ∠CDA. Hence, the given quadrilaterals are not similar.