Geometric and Algebraic Proofs

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 Vertical Angles Theorem?

Back

Vertical angles are congruent; if two angles are opposite each other when two lines intersect, they are equal in measure.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Segment Addition Postulate?

Back

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

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 Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the Definition of an Angle Bisector?

Back

An angle bisector is a ray that divides an angle into two congruent angles.