Segment and Angle Proofs

Front

What is the definition of a midpoint?

Back

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

Front

State the Segment Addition Postulate.

Back

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

Front

What does the Angle Addition Postulate state?

Back

The Angle Addition Postulate states that if point D is in the interior of angle ABC, then ∠ABD + ∠DBC = ∠ABC.

Front

Define complementary angles.

Back

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

Front

What is the definition of congruence in geometry?

Back

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

Front

Explain the Transitive Property of Equality.

Back

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

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

What is the significance of the Definition of Congruence?

Back

It states that two segments or angles are congruent if they have the same measure.

Front

How do you identify a midpoint on a segment?

Back

A midpoint can be identified as the point that divides the segment into two equal lengths.

Front

What is the formula for finding the length of a segment given its endpoints?

Back