Intro to Geometry Proofs

Front

What is the Reflexive Property?

Back

For any segment AB, AB = AB. This property states that a quantity is equal to itself.

Front

What is the Definition of Midpoint?

Back

A midpoint of a segment is the point that divides the segment into two equal parts.

Front

What does the Segment Addition Postulate state?

Back

If point X is between points R and T, then RX + XT = RT.

Front

What is the Definition of Angle Bisector?

Back

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

Front

What is the Vertical Angles Theorem?

Back

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

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any c.

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any c.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.