Definitions, Postulates, Theorems

Front

What is the Symmetric Property of Congruence?

Back

If two figures are congruent, then they can be expressed in either order. For example, if figure A is congruent to figure B, then figure B is congruent to figure A.

Front

What can be concluded if ∠1 and ∠2 are supplementary?

Back

The measures of ∠1 and ∠2 add up to 180 degrees, i.e., m∠1 + m∠2 = 180°.

Front

What is the Reflexive Property?

Back

It states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What does it mean to bisect a segment or an angle?

Back

To bisect means to divide it into two equal parts.

Front

What is the Distributive Property?

Back

It states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What is the definition of supplementary angles?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the definition of complementary angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the definition of a bisector?

Back

A bisector is a line, ray, or segment that divides an angle or segment into two equal parts.