Converse of Parallel Lines

Front

What is the Converse of Corresponding Angles?

Back

If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

Front

What is the Converse of Alternate Interior Angles?

Back

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Front

What is the Converse of Alternate Exterior Angles?

Back

If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

Front

What is the Converse of Same Side Interior Angles?

Back

If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.

Front

What does it mean if two angles are supplementary?

Back

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

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are always congruent when two lines intersect.

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

How can you prove that two lines are not parallel?

Back

If the corresponding angles, alternate interior angles, or same side interior angles do not satisfy their respective converse conditions, the lines are not parallel.

Front

What is the significance of 'Not Enough Information to Prove Parallel'?

Back

This indicates that the given angles or conditions do not provide sufficient evidence to conclude that the lines are parallel.

Front

What is the relationship between vertical angles?

Back

Vertical angles are formed by two intersecting lines and are always equal in measure.