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5-2 Right Triangles

5-2 Right Triangles. OBJECTIVE: To recognize and use tests for congruence of right triangles. 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. Theorem: HA (hypotenuse-angle).

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5-2 Right Triangles

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  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) B A E M H F G C D J K L I

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

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