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5-2 Right Triangles OBJECTIVE: To recognize and use tests for congruence of right triangles.

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Presentation on theme: "5-2 Right Triangles OBJECTIVE: To recognize and use tests for congruence of right triangles."— Presentation transcript:

1 5-2 Right Triangles OBJECTIVE: To recognize and use tests for congruence of right triangles.

2 Theorem: LL (Leg-Leg) If the legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.

3 Theorem: HA (hypotenuse-angle) If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

4 Theorem: LA (leg-angle) If one leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

5 Theorem: HL (hypotenuse-leg) If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

6 Examples: Determine the congruence pattern. (HL, LL, HA, LA) A B C D E FG H I JKL M

7 EXIT TICKET: Determine the congruence pattern. (HL, LL, HA, LA) SH O P E X A C T


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