Student Tutorial: Triangle Theorems | Media4Math

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Student Tutorial: Triangle Theorems

Instructions:

Study these triangle theorems and postulates.

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Math Clip Art: Student Tutorial Title Page

SSS Theorem. The Side-Side-Side Theorem states that if two triangles have three corresponding congruent sides, the triangles are congruent.

SAS Theorem. The Side-Angle-Side Theorem states that if two triangles have two corresponding congruent sides, and the included angle, the triangles are congruent.

ASA Theorem. The Angle-Side-Angle Theorem states that if two triangles have two corresponding congruent angles, and the included side, the triangles are congruent.

AAS Theorem. The Angle-Angle-Side Theorem states that if two triangles have two corresponding congruent angles, and a non-included side, the triangles are congruent.

AAA Theorem. The Angle-Angle-Angle Theorem states that if two triangles have three corresponding congruent angles, the triangles are similar.

Pythagorean Theorem. The equation that shows the relationship among the three sides of a right triangle.

Converse of the Pythagorean Theorem. If the square of the side lengths of a triangle equal the square of the third side, then the triangle is a right triangle.

H-L Theorem. The Hypotenuse-Leg Theorem states that if the hypotenuse and leg of one right triangle is congruent to that of another right triangle, the triangles are congruent.

Exterior Angle Theorem. The exterior angle to a triangle is equal to the sum of the opposite interior angles.