Question

In a diagram of $\Delta$ $ABC$ and $\Delta$ $DEF$ below, $BC$ $\cong$ $EF$, $\angle B\cong \angle E$ and $\angle A\cong \angle D$. Which method can be used to prove $\Delta ABC\cong \Delta DEF$?

• A. AAA congruence
• B. SAS congruence
• C. AAS congruence
• D. SSS congruence

Answer 1

Answer: (C)

AAS congruence

Two corresponding angles and a corresponding angle in $△ABC$ and $△DEF$ are given equal.

So the triangles are congruent by $AAS$ congruency criteria.