Question

1. In triangles ABC and PQR, ZA = ZQ and ZB = ZR. Which side of A PQR
should be equal to side AB of A ABC so that the two triangles are congruent?
Give reason for your answer...!!​

Answer 1

Answer:

Given, ∠A=∠Q, ∠B=∠R

Side AB lies between ∠A and ∠B and side QR lies between ∠Q and ∠R.

Hence, AB should be equal to QR as they are the corresponding sides.

The two triangles to be congruent by ASA rule.

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Answer 2

In triangles ABC and PQR, ZA = ZQ and ZB = ZR. Side PQ of A PQR should be equal to side AB of A ABC so that the two triangles are congruent

Given,

In triangles ABC and PQR,

ZA = ZQ

ZB = ZR

To find,

Side equal to AB = ?

Solution,

If two triangles ABC and PQR are congruent it should follow the following criteria,

In triangle ABC and PQR

AB = PQ

BC = QR

CA = RP

∠A = ∠P

∠B = ∠Q

∠C = ∠R.

Therefore, if triangle ABC and PQR side AB should be equal to PQ.