Segment Proofs Practice

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

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to distribute a factor across a sum.

Front

What is the Symmetric Property of Congruence?

Back

The Symmetric Property of Congruence states that if a = b, then b = a.

Front

What is the Definition of Midpoint?

Back

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

Front

What is the Reflexive Property?

Back

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

Front

How do you apply the Segment Addition Postulate in proofs?

Back

You apply the Segment Addition Postulate by identifying segments that are adjacent and adding their lengths to find the total length.

Front

What is the importance of the Distributive Property in algebra?

Back

The Distributive Property is important in algebra for simplifying expressions and solving equations.

Front

How can the Symmetric Property be used in geometric proofs?

Back

The Symmetric Property can be used in geometric proofs to show that if two segments or angles are congruent, their order can be reversed.

Front

What role does the Definition of Midpoint play in geometry?

Back

The Definition of Midpoint is crucial in geometry for establishing equal segments and proving properties of triangles and other shapes.

Front

Can you give an example of the Reflexive Property in use?

Back

An example of the Reflexive Property is stating that segment AB is congruent to segment AB.