4-6 Congruence in Right Triangles. Notice the triangles are not congruent, so we can conclude that Side-Side-Angle is NOT valid. However Side-Side-Angle,

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4.6 Congruence in Right Triangles

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Presentation transcript:

4-6 Congruence in Right Triangles

Notice the triangles are not congruent, so we can conclude that Side-Side-Angle is NOT valid. However Side-Side-Angle, works in the special case of right triangles, where the right angles are the nonincluded angles.

Hypotenuse: The side opposite the right angles Legs: the other two sides of the triangle

Hypotenuse-Leg (HL) Theorem If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent

Conditions for HL Theorem To use the HL Theorem, the triangles must meet these three conditions: There are two right triangles The triangles have congruent hypotenuses There is one pair of congruent legs

Problem 1: Using the HL Theorem