DRILL Given: Prove: B C A D.

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Proving Triangles Congruent

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Presentation transcript:

DRILL Given: Prove: B C A D

Hypotenuse Leg Congruence Theorem Geometry Hypotenuse Leg Congruence Theorem Chapter 8: Section 3

Recall our theorems:

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 P R S

1. ,Q and S are right angles. 1. Given P R Statements S Reasons 1. ,Q and S are right angles. 1. Given 2. 2. Reflex. Prop. 3. 3. def of rt. angle 4. ΔQPR = ΔSRP 4. HL Thm.

Homework Page 422 #’s 1 – 6 #’s 12, 14a, 17