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 we conclude about the lengths of 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 Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the definition of congruent angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent.

Front

What does the Addition Postulate of Equality state?

Back

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

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.

Front

What is the definition of corresponding parts in triangle congruence?

Back

Corresponding parts are sides or angles that are in the same position in two different triangles.