Segment Proofs Vocabulary & Practice

Front

What is the Addition Property in geometry?

Back

If two segments are equal, then adding the same length to both segments keeps them equal. For example, if RS = TU, then RS + XY = TU + XY.

Front

What does the Segment Addition Postulate state?

Back

If point K is between points J and L, then the lengths of segments JK and KL add up to the length of segment JL. In formula: JK + KL = JL.

Front

What is the Definition of Congruence?

Back

Two segments are congruent if they have the same length. For example, if UV ≅ XY, then UV = XY.

Front

What is the Reflexive Property?

Back

Any segment is equal to itself. For example, LM = LM.

Front

What is the Symmetric Property?

Back

If one segment is equal to another, then the second segment is equal to the first. For example, if AB = CD, then CD = AB.

Front

What is the Transitive Property?

Back

If one segment is equal to a second segment, and the second segment is equal to a third segment, then the first segment is equal to the third segment. For example, if AB = CD and CD = EF, then AB = EF.

Front

What is the Definition of Midpoint?

Back

A midpoint of a segment is the point that divides the segment into two equal parts. For example, if M is the midpoint of segment AB, then AM = MB.

Front

What is the Subtraction Property in geometry?

Back

If two segments are equal, then subtracting the same length from both segments keeps them equal. For example, if RS = TU, then RS - XY = TU - XY.

Front

What is the purpose of using proofs in geometry?

Back

Proofs are used to demonstrate the validity of geometric statements and the relationships between different geometric figures.

Front

What is the role of 'Given' in a proof?

Back

The 'Given' statement provides the initial conditions or facts that are accepted as true for the purpose of the proof.