Question

Which criteria for congruency of triangles can be used to prove the given two triangles are congruent?

• A. SAS
• B. ASA
• C. SSS
• D. RHs

Answer 1

The correct option is B ASA

In triangle PQR,
$\angle P=60°$
$\angle Q=55°$

We know that, sum of internal angles of a triangle is 180°

So,
$\angle R=180°-(\angle P+\angle Q)$
$\Rightarrow \angle R=180°-(60°+55°)$
$\Rightarrow \angle R=65°$ .....(1)



In $△$ABC and $△$PQR,
$\angle B=\angle Q=55°$
BC = QR = 5cm... (given)
$\angle C=\angle R=65°$ .... (from 1)

So, by ASA criterion for congruency of triangles,
$△ABC\cong △PQR$