Triangle Congruence Proofs

Front

What is the definition of a midpoint?

Back

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

Front

If M is the midpoint of AB, what can we conclude about AM and MB?

Back

AM = MB.

Front

What does the AAS postulate state?

Back

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.

Front

What is the SAS postulate?

Back

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.

Front

What does the SSS postulate state?

Back

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

Front

What is the definition of complementary angles?

Back

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

Front

What is the definition of a right angle?

Back

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

Front

What does the term 'congruent' mean in geometry?

Back

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

Front

What is the definition of vertical angles?

Back

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

Front

What is the definition of corresponding angles?

Back

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