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Warm-Up. Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement . . A. B. D. C. 4.6:Congruence in Right Triangles. Objective: To prove triangles congruent by the HL Theorem. Right Triangles. Legs
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Warm-Up Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement. A B D C
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