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DRILL • Given: AB CD AB || CD Prove: ABC CDA B A C D Geometry Hypotenuse Leg Congruence Theorem Chapter 8: Section 3 Recall our theorems: Triangle Congruence Thms. SAS ASA AAS SSS SsA HL Hypotenuse Leg Theorem (HL) • If, in 2 right triangles, the hypotenuse and a leg of one are congruent to the hypotenuse and a leg of the other, the 2 triangles are congruent. Example 1 • Given: PQ RS, Q and S are right angles. • Prove: QPR SRP Q P R S Q P Statements 1. PQ RS ,Q and S are right angles. 2. PR PR R S Reasons 1. Given 2. Reflex. Prop. 3. Q S 3. def of rt. angle 4. ΔQPR = ΔSRP 4. HL Thm. Homework Page 422 #’s 1 – 6 #’s 12, 14a, 17