4.4 aas proofs

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AAS Proofs

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• If twoangles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Angle-Angle-Side (AAS) Congruence Theorem If Angle EFBC ≅ ∆ABC ∆≅ DEF Then Side Angle ∠A D≅ ∠ ∠C F≅ ∠

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Proof of AASCongruence Theorem Given: A D∠ ≅ ∠ , C F,∠ ≅ ∠ Prove: ∆ABC ∆≅ DEF EFBC ≅ ∠A D≅ ∠ , C F,∠ ≅ ∠ Given ∠B E≅ ∠ Third angles theorem ∆ABC ∆≅ DEF ASA Congruence Postulate EFBC ≅