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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 10 Page 630

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

No, we cannot prove △ ABC ≅ △ DEF.
Explanation: See solution.

Practice makes perfect

Let's draw △ ABC and △ DEF.

Next, we will mark the pair of congruent angles, ∠ C≅ ∠ F, and the two pairs of congruent sides, AB≅ DE and BC≅ EF, in our diagram.

Given two pairs of sides and a pair of non-included corresponding angles are congruent, there is no way to prove congruence between the two triangles.