Segment and Angle Proofs

Front

What is the Substitution Property in geometry?

Back

The Substitution Property states that if two quantities are equal, one can be substituted for the other in any expression or equation.

Front

What does the Addition Property state?

Back

The Addition Property states that if two quantities are equal, adding the same value to both sides of the equation maintains the equality.

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B lies in the interior of angle AOC, then the measure of angle AOB plus the measure of angle BOC equals the measure of angle AOC.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two congruent segments.

Front

What is the definition of a segment bisector?

Back

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

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.