Maths-

General

Easy

Question

# What additional information will ensure the congruence of the triangles ABC and PQR?

Hint:

### Use the appropriate congruence rule.

## The correct answer is: △ABC ⩭ △PQR, by ASA congruence rule

### Complete step by step solution:

ASA postulate: If 2 angles and the included side of one triangle are equal to 2 angles

and the included side of another triangle, then the triangles are congruent by ASA

congruence criterion.

Consider 2 triangles, △ABC and △PQR

From the figure, we have

∠BAC = ∠QPR (given)

∠ACB = ∠PRQ (given)

According to ASA congruence rule, we must have AC = PR to satisfy the

postulate.

Then △ABC ⩭ △PQR, by ASA congruence rule.

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