Right Triangle Congruence

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Presentation transcript:

Right Triangle Congruence Today’s Goal: To be able to prove two right triangles are congruent.

Leg-Leg Congruence Theorem If the legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.

Hypotenuse-Angle Congruence Theorem If the hypotenuse and acute angle of one right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the two triangles are congruent.

Leg-Angle Congruence Theorem 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.

Hypotenuse-Leg Congruence Theorem 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.