Right triangle congruence

Right triangle congruence

1. Hypotenuse Leg (HL)

   • Hypotenuse and leg of one right triangle congruent to hypotenuse and leg of another right triangle.

2. Leg-Leg (LL)

   • If two legs of one right triangle are congruent to two legs of another right triangle the triangles are congruent. (SAS)

3. Hypotenuse-Angle (HA)

   • If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and acute angle of another right triangle the triangles are congruent.(AAS)

4. Leg-Angle (LA)

   • If a leg and acute angle of a right triangle are congruent of the leg and acute angle of another right triangle then they are congruent. (AAS or ASA)

5. Exterior Angle Theorem of triangles

   • An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.

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