Warm-Up Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement. A D C B.

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Presentation transcript:

Warm-Up Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement. A D C B

4.6:Congruence in Right Triangles Objective: To prove triangles congruent by the HL Theorem

Right Triangles Legs Special Case where there is an ‘SSA’ congruence rule Has to be a right triangle!! Hypotenuse

Hypotenuse-Leg (HL) Theorem If the hypotenuse and a leg of one right triangle are to a hypotenuse and a leg of another right triangle, then the 2 triangles are. V c D S T F

To use the HL theorem, you must show the following 3 conditions are met:  You have 2 right triangles  The triangles have hypotenuses  The triangles have one pair of legs

Explain why ? X Y M Z