1. Segment addition 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 Substitution Property of Equality.

Back

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

Front

What is the Transitive Property of Equality?

Back

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

Front

Explain the Addition Property of Equality.

Back

The Addition Property of Equality states that if you add the same value to both sides of an equation, the two sides remain equal.

Front

What does the Definition of Congruence state?

Back

The Definition of Congruence states that two figures are congruent if they have the same shape and size.

Front

What is the Reflexive Property of Equality?

Back

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

Front

What is the Symmetric Property of Equality?

Back

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

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a statement or theorem.

Front

How do you apply the Subtraction Property of Equality?

Back

To apply the Subtraction Property of Equality, subtract the same value from both sides of an equation to maintain equality.

Front

What is a congruence statement?

Back

A congruence statement is a statement that indicates two geometric figures are congruent, often written as △ABC ≅ △DEF.