Mathematics
Grade9
Easy

Question

Which of the following relation is correct if PQ = PS, PR = PT and QPS = TPR?

  1. QR = ST
  2. QR > ST
  3. QR < ST
  4. QR = QP 

hintHint:

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).

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