Angle & Segment Proofs

Front

What is the definition of a midpoint in geometry?

Back

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

Front

What is the Segment Addition Postulate?

Back

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

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of bisecting a segment?

Back

To bisect a segment means to divide it into two equal parts.

Front

What is the relationship between vertical angles?

Back

Vertical angles are always congruent; they are the angles opposite each other when two lines intersect.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the purpose of a proof in geometry?

Back

A proof is a logical argument that demonstrates the truth of a statement or theorem.

Front

What does it mean for two segments to be equal?

Back

Two segments are equal if they have the same length.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.