Warm Up: Algebraic and Geometric Proofs

Front

What is the Definition of Supplementary Angles?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What does the Segment Addition Postulate state?

Back

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

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac; it allows you to multiply a sum by multiplying each addend separately.

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

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

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent; if two angles are opposite each other when two lines intersect, they are equal.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a statement or theorem.

Front

What is the first statement in the reason column of a proof?

Back

Given; it states the information that is provided at the start.