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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
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

4.6:Congruence in Right Triangles

Objective: To prove triangles congruent by the HL Theorem


Right triangles
Right Triangles

Legs

Special Case where there is an ‘SSA’ congruence rule

Has to be a right triangle!!

Hypotenuse


Hypotenuse leg hl theorem
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
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
Explain why ? conditions are met:

X

Y M Z


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