Geometric Proofs

Front

What is the REASON for Statement #1?

Back

Given

Front

What is the reason for using Segment Addition?

Back

Segment Addition states that if point B is between points A and C, then AB + BC = AC.

Front

What is the REASON for Statement #5?

Back

Subtraction Property of Equality states that if a = b, then a - c = b - c.

Front

What is the definition of supplementary angles?

Back

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

Front

What property justifies going from the first statement to the second statement?

Back

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

Front

What is the definition of complementary angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

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