Question
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?
- QR = ST
- QR > ST
- QR < ST
- QR = QP
Hint:
As it is given that, PQ = PS, PR = PT and ∠QPS = ∠TPR,
∆ PQR is congruent to Δ PST by SAS congruence rule.
The correct answer is: QR > ST
As it is given that, PQ = PS, PR = PT and ∠QPS = ∠TPR,
∆ PQR is congruent to Δ PST by SAS congruence rule.
Hence, QR = ST (Corresponding parts of congruent triangles).
∆ PQR is congruent to Δ PST by SAS congruence rule.
Hence, QR = ST (Corresponding parts of congruent triangles).
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