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Math 20-2 Geometry: Lesson #6 Proving Congruent Triangles Objective: By the end of this lesson, you should be able to: - Prove, using deductive reasoning, that two triangles are congruent. Key Point: You can prove that two triangles are congruent by using triangle congruence theorems: SSS, SAS, ASA, and H-L. To prove that two triangles are congruent: 1. 2. e.g. 1) In the diagram, PS is perpendicular to QR and PQ = PR. Prove that PQS PRS . Statement P Q Reason R S e.g. 2) Given: A D ABC DCB Prove: ABC DCB A D B C Statement Reason Math 20-2 Geometry: Lesson #6 To prove that two sides or two angles of two triangles are congruent: 1. 2. 3. e.g. 3) BC = BE and CA DE . Prove that CA = DE. C Statement Reason Statement Reason A B D E e.g. 4) Given: YZ = WX XY = ZW Prove that YZ is parallel to XW. Z Y W X Assignment: p. 113-115 #4-7, 9, 12, 17