Two-Column Proofs

Front

What is a two-column proof?

Back

A two-column proof is a method of proving statements in geometry where statements are listed in one column and corresponding reasons are listed in the adjacent column.

Front

What are vertical angles?

Back

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

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie on opposite sides of a transversal and inside two parallel lines. They are congruent when the lines are parallel.

Front

What is the reflexive property?

Back

The reflexive property states that any quantity is equal to itself, i.e., a = a.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent if they have the same measure.

Front

What is the definition of bisect?

Back

To bisect means to divide something into two equal parts.

Front

What is a given in a proof?

Back

A given is a statement or fact that is assumed to be true and is used as the starting point for a proof.

Front

What is the purpose of a two-column proof?

Back

The purpose of a two-column proof is to provide a clear and logical argument that demonstrates the truth of a geometric statement.

Front

What is a transversal?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What are consecutive angles?

Back

Consecutive angles are angles that are on the same side of a transversal and between the two lines.