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 Related Terms
Theorem:  A theorem is a statement that has been proven to be true or proposed as a demonstrable truth.
 Pythagorean Theorem: A theorem that states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs. Angle-Angle (AA- Similarity): If two angles of one triangle are congruent to two corresponding angles in another triangle, then the triangles are similar. Angle-Angle-Side (AAS): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Angle-Side-Angle (ASA): If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Side-Angle-Side (SAS): A congruence property that states if two sides and the included angle of a triangle are congruent, respectively, to two sides and the included angle of another triangle, then the two triangles are congruent. Side-Angle-Side (SAS-Similarity): If the lengths of two sides of a triangle are multiples of two corresponding sides of another triangle (i.e. they are in proportion), and the included angles are congruent, then the triangles are similar. Side-Side-Side (SSS): A congruence property that states if three sides of a triangle are congruent, respectively, to the three sides of another triangle, then the two triangles are congruent. Side-Side-Side (SSS-Similarity): If the lengths of all three of the corresponding sides of two triangles are multiples of each other (i.e., they are proportional), then the triangles are similar.