Question

Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the

• A. RHS congruence criterion
• B. ASA congruence criterion
• C. SAS congruence criterion
• D. AAA congruence criterion

Answer 1

The correct option is B

ASA congruence criterion

ASA congruence criterion:

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and sides included between the angles of the second triangle, then the two triangles are said to be congruent by the ASA rule.

Here, $In△ABCand△PQR$

$$\begin{gathered} \angle B=\angle Q \\ \angle C=\angle R \\ BC=QR \end{gathered}$$

Therefore, $△ABC\cong △PQR\left(\mathrm{by}\mathrm{ASA}\mathrm{congruence}\right)$

Hence, option (B) is correct.