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TRIANGLE CONGRUENCE PROOFS Level 1 Prove: ACB FDE 1. Given the following diagram: C D B E A F 2. Given the following diagram: R E A P 3. Given: XE is a median in XMY and XY XM Prove: XEM XEY Prove: ARE PRE G 4. Given: GH IH ; JH IG Prove: ∆JGH≅∆JIH H J I 5. M L Given: Prove: KLP MNP ; P is the midpoint of KM KPL MPN P K N Prove: O N (Hint: First prove the triangles are congruent) 6. Given the following diagram: A Y O M B N Level 2 1. Given: Circle C with BD and AE as diameters. A D Prove: ACB DCE C B E 2. P Given: PY bisects TPA and TYA Prove: PTY PAY T A Y Prove: ABC EDC 3. Given the following diagram: A B C D E 4. Given: Circle with center R, YBR RNO. BRNR Prove: N Y R B 5. L I O N Given: LEI NEI , EI Prove: LI NI is an altitude. E 6. Given: E is the midpoint of HF and EG is perpendicular to HF . Prove: HG FG Level 3 E 1. Given: ABC is equilateral, EBA DCA Prove: EB DC. D A B C 2. Given: VW WX, VY XZ Prove: WYZ is isosceles V Y W Z X 3. Given: WZ WX and ZY XY Prove: ZAY XAY W Z X A Y 4. H T S M A Given: AT MH ; AT Prove: ST SM || MH