Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
6. Proving Triangle Congruence by ASA and AAS
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Exercise 12 Page 630

Start by drawing two triangles and then add the given information to your diagram.

Yes, we can prove △ ABC ≅ △ DEF.
Explanation: See solution.

Practice makes perfect

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.