In ∆ABC and ∆PQR, AB = PQ and ∠B = ∠Q. The two triangles are congruent by SAS criteria if:

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 2)

Answer 1

Given:

AB = PQ

∠B = ∠Q

Formula used:

SAS rule is the two side of the triangle is equal and the angle made by these side is also equal

Calculations:

F8 Savita SSC 24-4-23 D1

According to the question,

In ∆ABC and ∆PQR

⇒ AB = PQ

⇒ ∠B = ∠Q

So, angle B is made the side AB and BC and angle Q is made up by the side PQ and QR

So, BC must be equal to QR to make these two triangle congruent by SAS rule

⇒ Hence, Option (1) is correct