#048 Algebraic Proofs

Front

What is the Subtraction Property Of Equality?

Back

If a = b, then a - c = b - c.

Front

What is usually the first entry in the Reason Column of an algebraic proof?

Back

Given.

Front

What is the Division Property Of Equality?

Back

If a = b, then a/c = b/c.

Front

What property is illustrated? If a = b, then 8a = 8b.

Back

Multiplication Property Of Equality.

Front

What is the first Reason in an algebraic proof?

Back

Given.

Front

What is the Addition Property Of Equality?

Back

If a = b, then a + c = b + c.

Front

What is the definition of an algebraic proof?

Back

A logical argument that uses algebraic properties to show that a statement is true.

Front

What does the term 'congruence' mean in algebra?

Back

Two figures or objects are congruent if they have the same shape and size.

Front

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

Back

To justify each step in the proof and ensure the argument is valid.

Front

What is the Reflexive Property Of Equality?

Back

For any number a, a = a.