Segment Proofs

Front

What is the Definition of Midpoint?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

What is the Definition of Congruence?

Back

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

Tags

CCSS.8.G.A.2

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 Reflexive Property of Congruence?

Back

For any segment AB, AB is congruent to AB.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Symmetric Property of Congruence?

Back

If segment AB is congruent to segment CD, then segment CD is congruent to segment AB.

Tags

CCSS.8.G.A.2

Front

What is the Transitive Property of Congruence?

Back

If segment AB is congruent to segment CD and segment CD is congruent to segment EF, then segment AB is congruent to segment EF.

Tags

CCSS.8.G.A.2

Front

What is the Substitution Property?

Back

If two segments are congruent, one can be substituted for the other in any expression.

Tags

CCSS.HSG.SRT.B.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 Complement Theorem?

Back

If two angles form a right angle, then they are complementary.

Tags

CCSS.7.G.B.5

Front

What is the definition of a Segment?

Back

A segment is a part of a line that has two endpoints.

Tags

CCSS.HSG.CO.A.1