Geometry Notes 9-7 Hypotenuse Leg Theorem Theorem 9.14 - If the hypotenuse and a leg of one triangle are congruent to the corresponding parts of the other, then the triangles are congruent. (HL) Concurrence of angle bisectors of a triangle Theorem 9.15: The angle bisectors of a triangle are concurrent. (concurrent- intersect in one point) Incenter: the point where the angle bisectors of a triangle are concurrent Ex. 1 A Given: Prove: E B statements F D C reasons 1 A Ex. 2: Given: D B Prove: C statements Ex. 3 A Given: Prove: statements reasons D F 1 2 E B C reasons 2
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