6. Proving Triangle Congruence by ASA and AAS
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Start by drawing two triangles and then add the given information to your diagram.
Yes, we can prove △ ABC ≅ △ DEF.
Explanation: See solution.
Let's draw â–³ ABC and â–³ DEF.
Next, we will mark the two pairs of congruent angles, ∠A ≅ ∠D and ∠B ≅ ∠E, and the congruent sides, BC≅ EF, in our diagram.
Since we know two pairs of angles and a pair of non-included corresponding sides are congruent, we can prove that the triangles are congruent by the AAS Congruence Theorem.