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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 3 Page 630

Is there a theorem that focuses on two angles and a side that is not included?

AAS Congruence Theorem

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Examining the diagram in the exercise, we see that the two triangles have two pairs of congruent angles and one pair of congruent non-included corresponding sides: ∠ A≅ ∠ Q, ∠ R ≅ ∠ B and QS≅AC This is enough information to claim congruence by the AAS Congruence Theorem.