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.

Tags

CCSS.HSG.GPE.B.6

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.

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.5

Front

What is the Addition Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

What is the Subtraction Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

What is the Multiplication Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

Tags

CCSS.HSA.REI.A.1