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Geometry: Section 3.8 Name: Objective: To prove theorems congruent using Hypotenuse-Leg (HL) theorem. Hypotenuse-Leg Theorem: BL If two sides of a triangle are ≅, then the angles opposite them are ≅. Givens ∆ABC, ! DEF, with m!A = m!D = 90˚ , AB = DE, BC = EF Prove: C Proof: E B A D F G Abbreviation: How many conditions are involved when using HL to prove ∆’s congruent? Given: BC ! AC, BD ! AD, AC " AD !!!" Prove: AB bisects ! CAD Proof: C A B D Y Given: !O, YO ! YX, ZO ! ZX Prove: YX = ZX Proof: Homework: 3.8 pg. 158-160 #4-18 even X O Z