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Transcript
Unit 1B2 Day 6 Do Now Name two sides and the angle included between them. Angle-Side-Angle Congruence Postulate (post. 21) If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Ex. 1 ASA Congruence Postulate Prove that ΔHIJ ≅ ΔJKH. Angle-Angle-Side Congruence Theorem (thm. 4.5) 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 two triangles are congruent. Proof of AAS Given: Congruence marked in diagram Prove: ΔABC ≅ ΔDEF Ex. 2: Which Postulate to Use How can you prove that the triangles are congruent? Ex. 3: Which Postulate to Use How can you prove that the triangles are congruent? Ex. 4: Proving Triangles Congruent Given: EF || JH, GF ≅ GH. Prove: ΔEGF ≅ ΔJGH. Side-Side-Angle is NOT a Congruence Theorem! Closure Explain the difference between the ASA and AAS congruence theorems.
