Properties of Equality & Congruence

Front

What is the Definition of Midpoint?

Back

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

Front

What does the Segment Addition Postulate state?

Back

If point B is between points A and C, then AB + BC = AC.

Front

What is the Substitution Property?

Back

If two quantities are equal, one can be substituted for the other in any expression.

Front

What is the Symmetric Property?

Back

If a = b, then b = a.

Front

What is the Transitive Property?

Back

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

Front

What is the Reflexive Property?

Back

For any number a, a = a.

Front

What does it mean for segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the Definition of Congruent Segments?

Back

Segments that have the same length are called congruent segments.

Front

If B is the midpoint of AC, what can we conclude about AB and BC?

Back

AB ≅ BC.

Front

What is the Addition Property of Equality?

Back

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