Segment and Angle Proofs

Front

What is the Segment Addition Postulate?

Back

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

Front

Define the Definition of Midpoint.

Back

A midpoint of a segment is the point that divides the segment into two equal parts.

Front

What does it mean for two angles to be complementary?

Back

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

Front

What is the Congruent Complements Theorem?

Back

If two angles are complementary to the same angle (or to congruent angles), then the two angles are congruent.

Front

What is the Definition of Congruence?

Back

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

Front

What is the purpose of substitution in proofs?

Back

Substitution allows you to replace a variable or expression with another equivalent variable or expression.

Front

What is the significance of the Addition Property of Equality?

Back

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

Front

How do you identify a midpoint in a segment?

Back

A midpoint divides a segment into two equal lengths.

Front

What is the formula for finding the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the Definition of Supplementary Angles?

Back

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