Triangle Congruence Proofs

A midpoint is a point that divides a line segment into two equal parts.

AM = MB.

If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

If all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Two angles are complementary if the sum of their measures is 90 degrees.

A right angle is an angle that measures exactly 90 degrees.

Congruent means that two figures have the same shape and size.

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal. They are congruent.