Algebra, Segment and Angle Proof Reasons

Front

What is the Reflexive Property in algebra?

Back

The Reflexive Property states that any quantity is equal to itself, i.e., a = a.

Front

What does the Addition Property state?

Back

The Addition Property states that if you add the same value to both sides of an equation, the two sides remain equal.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the Congruent Complement Theorem?

Back

The Congruent Complement Theorem states that if two angles are complements of the same angle (or congruent angles), then the two angles are 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.

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 adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

What is the definition of a linear pair?

Back

A linear pair is a pair of adjacent angles formed when two lines intersect. The angles in a linear pair are supplementary.

Front

What is the definition of congruence in geometry?

Back

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