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HL Theorem D.I.R.T. Q 1) Given: XQ parallel TR, XR bisects QT Prove: XMQ = RMT WHY? ___________________ X M R T Given: AE parallel BD AE = BD, m<E=m<D Prove: AEB = BDC E 2) D Why? _____________ A B C 4.6 HypotenuseLeg Theorem Hypotenuse: Side opposite the right angle and it is the longest side Leg: Two side that make up the right angle. 1 HL Theorem HypotenuseLeg (HL) Theorem If the hypotenuse and leg of on triangle are congruent to the hypotenuse and leg of another triangle, then the triangles are congruent. X A B D Z Y ~ ABD = XYZ M 1) MAT≅ __________________ by______________________ H T A 2) A B DAB ≅ __________________ by______________________ D C 2 HL Theorem GIVEN: FJ≅HJ F 3) GFJ≅ __________________ by______________________ J G H 4. Which two triangles are congruent by the HL Theorem? Write a congruence statement. Q L 3 O 5 5 P N M 3 S R 3 5 T Assignment: Pg. 219 #14 Are triangles congruent by HL? # 57, 10 What info needed? # 14, 15, 3537 # 4247 Give angle relationships. 3