2.2 - Two Column Proofs Intro Algebra Proofs (Stark)

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What does the Addition Property of Equality state?

Back

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

Front

What does the Subtraction Property of Equality state?

Back

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

Front

What is the first reason typically stated in a two-column proof?

Back

Given.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any c.

Front

How do you express the statement 'If 80 = m∠A, then m∠A = 80' using properties of equality?

Back

This is an example of the Symmetric Property of Equality.

Front

What is the purpose of a two-column proof in geometry?

Back

To provide a clear and organized way to present logical reasoning and justification for each step in a proof.

Front

What is a proof in mathematics?

Back

A logical argument that establishes the truth of a statement based on previously established statements, such as theorems and axioms.

Front

What is the definition of congruence in geometry?

Back

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

Front

What is the Transitive Property of Equality?

Back

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