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4.6 Congruence in Right Triangles

4.6 Congruence in Right Triangles. Objective: I will prove right triangles congruent using the Hypotenuse-Leg Theorem. Vocab : Hypotenuse : the side opposite the right angle, or the longest side of a triangle Legs : two shorter sides of a triangle. Leg. hypotenuse. Right Angle. Leg.

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4.6 Congruence in Right Triangles

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  1. 4.6 Congruence in Right Triangles Objective: I will prove right triangles congruent using the Hypotenuse-Leg Theorem

  2. Vocab: • Hypotenuse: the side opposite the right angle, or the longest side of a triangle • Legs: two shorter sides of a triangle Leg hypotenuse Right Angle Leg

  3. Theorem 4-6: Hypotenuse-Leg (HL) Theorem If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, the then triangles are congruent If: Then: ABC and DEF are right s and ABC DEF AC DE and CB DF D C A B F E

  4. Key Concept…Conditions for HL Theorem 1. There are 2 right triangles 2. The triangles have congruent hypotenuses 3. There is one pair of congruent legs

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