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4-3 Triangle Congruence by ASA and AAS M11.C.1 2.5.11.B Objectives: 1) To prove two triangles congruent using the ASA Postulate and the AAS Theorem. Angle-Side-Angle (ASA) Postulate.

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## Angle-Side-Angle (ASA) Postulate

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**4-3 Triangle Congruence by ASA and AASM11.C.1**2.5.11.BObjectives:1) To prove two triangles congruent using the ASA Postulate and the AAS Theorem.**Angle-Side-Angle (ASA) Postulate**• If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. • △HGB ≅△NKP**Example:**• Name two triangles that are congruent by the ASA Postulate.**Angle-Angle-Side (AAS) Theorem**• If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent. • △CDM ≅△ XGT**Examples**• Given: ∠A≅∠B AP ≅ BP Prove triangle APX is congruent to triangle BPY.**Example**• Given: ∠B ≅∠D AB || CD Prove triangle ABC is congruent to triangle CDA.**Classwork**• Handed – In • Page 197 #1-7, 9-12, 14-17, 22-25

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