Segment Proofs

Front

What is the Reflexive Property in geometry?

Back

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

Front

Define the Midpoint of a segment.

Back

The Midpoint of a segment is the point that divides the segment into two equal parts.

Front

If B is the midpoint of segment AC, what can we conclude about the lengths of AB and BC?

Back

If B is the midpoint of segment AC, then AB = BC.

Front

What does the Symmetric Property of Congruence state?

Back

The Symmetric Property of Congruence states that if segment AB is congruent to segment CD, then segment CD is congruent to segment AB.

Front

What is the purpose of using properties of equality in proofs?

Back

Properties of equality are used to justify steps in mathematical proofs and to show that two expressions are equal.

Front

Explain the Transitive Property of Equality.

Back

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

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if a = b, then a + c = b + c for any c.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if a = b, then a - c = b - c for any c.

Front

Define the term 'congruent segments'.

Back

Congruent segments are segments that have the same length.

Front

What is the definition of 'segment addition'?

Back

Segment addition states that if point B is between points A and C, then AB + BC = AC.