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Question

If in two triangles ΔABC and ΔPQR,ABQR=BCPR=CAPQ, then

(A) ΔPQRΔCAB
(B) ΔPQRΔABC
(C) ΔCBAΔPQR
(D) ΔBCAΔPQR

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Solution

Answer: (A) ΔPQRΔCAB

Given that in ΔABC and ΔPQR,ABQR=BCPR=CAPQ.This shows that sides of one triangle are proportional to the sides of the other triangle.
If the sides of one triangle are proportional to the sides of the other triangle, then their corresponding angles are also equal. So by SSS similarity rule, the given triangles are similar.
i.e., ΔCABΔPQR
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