Algebraic and Segment Proof Properties

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 Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two congruent segments.

Front

If B is the midpoint of segment AC, what can be concluded about segments AB and BC?

Back

AB ≅ BC.

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be replaced by b in any expression.

Front

What is the Division Property of Equality?

Back

If a = b, then a/c = b/c for any non-zero c.

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Definition of Segment Bisector?

Back

A point, line, or plane that intersects a segment at its midpoint.

Front

What is the Definition of Angle Bisector?

Back

A ray that divides an angle into two congruent angles.