Unit 2 Lesson 3 - Properties and Definitions of Congruence

Front

Reflexive Property of Congruence

Back

For any segment AB, it is congruent to itself: AB≅AB.

Front

Reflexive Property of Equality

Back

For any segment AB, it is equal to itself: AB = AB.

Front

Symmetric Property of Congruence

Back

If AB≅CD, then CD≅AB.

Front

Symmetric Property of Equality

Back

If AB=CD, then CD=AB.

Front

Transitive Property of Congruence

Back

If AB≅CD and CD≅EF, then AB≅EF.

Front

Transitive Property of Equality

Back

If AB=CD and CD=EF, then AB=EF.

Front

Definition of Congruence

Back

Segments are congruent if and only if they have the same measure.

Front

Definition of Midpoint

Back

The midpoint of a segment divides it into two congruent parts.

Front

Segment Addition Postulate

Back

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

Front

Properties of Equality

Back

Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, Transitive