Triangle Congruence Proofs

Front

What is the definition of a midpoint?

Back

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

Front

If M is the midpoint of segment AB, what can be concluded about AM and MB?

Back

AM = MB.

Front

What does the Reflexive Property of Equality state?

Back

For any segment AB, AB = AB.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent.

Front

What is the definition of congruent angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the SAS (Side-Angle-Side) Congruence 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 additional information is needed to prove triangles are congruent by SAS?

Back

The lengths of the two sides and the measure of the included angle.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.