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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 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) • 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.
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.
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.
Examples: • Determine the congruence pattern. (HL, LL, HA, LA) B A E M H F G C D J K L I
EXIT TICKET: • Determine the congruence pattern. (HL, LL, HA, LA) P O S H E C A X T