Proving Parallel Lines

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is a transversal in geometry?

Back

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

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What is the relationship between alternate interior angles when two lines are parallel?

Back

When two lines are parallel, alternate interior angles are congruent.

Front

What is the relationship between consecutive interior angles when two lines are parallel?

Back

When two lines are parallel, consecutive interior angles are supplementary.

Front

What does it mean for angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the significance of congruent angles in proving lines are parallel?

Back

If two angles are congruent and are formed by a transversal intersecting two lines, it can be used to prove that the lines are parallel.

Front

How can you prove that two lines are parallel using corresponding angles?

Back

If a transversal intersects two lines and the corresponding angles are equal, then the lines are parallel.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if a transversal intersects two parallel lines, then each pair of alternate interior angles is congruent.

Front

What is the Consecutive Interior Angles Theorem?

Back

The Consecutive Interior Angles Theorem states that if a transversal intersects two parallel lines, then each pair of consecutive interior angles is supplementary.