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Question

If there are two triangles, ABC and PQR, such that, AB = QR, BC = PR and CA = PQ, then ___.


A

ABC PQR

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B

CBA PRQ

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C

BAC RPQ

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D

PQR BCA

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Solution

The correct option is B

CBA PRQ


Among the given options, only for option 'CBA PRQ' we will have the given conditions satisfied.

The conditions given are: AB = QR, BC = PR and CA = PQ.
For the option 'ABC PQR' to be satisfied, ABC must be congruent to PQR, which can’t happen because AB = QR and not PQ.
For option 'BAC RPQ' to be satisfied, BAC must be congruent to RPQ, which can’t happen because AB = QR and not PR.
For option 'PQR BCA' to be satisfied, PQR must be congruent to BCA, which can’t happen because AB = QR and not RP.

Only option which has the correct symbolic representation with respect to the given information is CBA PRQ.
So, CBA PRQ by SSS congruence condition.


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