Segment and Angle Proofs

Front

What is the Segment Addition Postulate?

Back

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

Front

Define the Reflexive Property in geometry.

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning for any segment AB, AB = AB.

Front

What does the Addition Property state?

Back

The Addition Property states that if two quantities are equal, adding the same value to both sides maintains the equality.

Front

Explain the Substitution Property.

Back

The Substitution Property states that if two values are equal, one can be substituted for the other in any expression.

Front

What is a segment in geometry?

Back

A segment is a part of a line that is bounded by two distinct endpoints.

Front

What is an angle in geometry?

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex).

Front

What is the difference between a segment and a ray?

Back

A segment has two endpoints, while a ray has one endpoint and extends infinitely in one direction.

Front

What is the purpose of proofs in geometry?

Back

Proofs are used to demonstrate the truth of geometric statements through logical reasoning and established properties.

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.