# Which congruence theorem proves that the following two triangles are congruent?

Which congruence theorem proves that the following two triangles are congruent?

ASA Congruence
AAS Congruence
SSS Congruence
HL Congruence
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Step 1

Given 2-triangles
Step 2
from fig: $\mathrm{\angle }QRP=\mathrm{\angle }BAC$
$\mathrm{\angle }ABC=\mathrm{\angle }QPR$
BC=QP.
So $\mathrm{△}ABC\stackrel{\sim }{=}\mathrm{△}RPQ$ by AAS Congruence condition
Answer: Option-B AAS congruence