2.7-2.8 Proof Properties

Front

What is the Subtraction Property?

Back

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

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

What is the Symmetric Property?

Back

If a = b, then b = a.

Front

What does a proof always start with?

Back

Given Statement(s) or Assumptions.

Front

What is the Transitive Property?

Back

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

Front

What is the Addition Property?

Back

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

Front

What is the Multiplication Property?

Back

If a = b, then a * c = b * c for any number c.

Front

What is the Division Property?

Back

If a = b and c ≠ 0, then a / c = b / c.

Front

Provide an example of the Transitive Property.

Back

If x = 5 and x = y, then y = 5.

Front

What is the purpose of a proof in mathematics?

Back

To demonstrate the truth of a statement using logical reasoning.