Geometric Proofs

Front

What is the Segment Addition Postulate?

Back

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

Front

What does the Transitive Property of Equality state?

Back

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

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the definition of a bisector in geometry?

Back

A bisector is a line or segment that divides an angle or segment into two equal parts.

Front

What is the definition of congruent angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.

Front

What is the purpose of a proof in geometry?

Back

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

Front

What is the definition of a geometric proof?

Back

A geometric proof is a logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.

Front

What is the relationship between angles and their bisectors?

Back

The bisector of an angle divides the angle into two equal angles.