Two-Column Proofs (Intro)

Front

What are vertical angles?

Back

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

Front

What does the Reflexive Property of Equality state?

Back

The Reflexive Property of Equality states that any quantity is equal to itself, e.g., AB = AB.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then the measure of angle AOB plus the measure of angle BOC equals the measure of angle AOC.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Postulate?

Back

The AAS Postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of angle bisectors?

Back

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

Front

What is the Symmetric Property of Equality?

Back

The Symmetric Property states that if a = b, then b = a.