Converse of Parallel Lines

Front

What does the Converse of the Corresponding Angles Theorem state?

Back

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

Front

What is the Alternate Exterior Angles Converse Theorem?

Back

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

Front

Define Alternate Interior Angles. Give an example.

Back

Alternate interior angles are pairs of angles that lie between the two lines on opposite sides of the transversal. For example, if lines l and m are cut by transversal t, then angle 3 and angle 5 are alternate interior angles.

Front

What is the Same Side Interior Angles Theorem?

Back

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

Front

What are Corresponding Angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different lines cut by a transversal.

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When a transversal crosses parallel lines, several pairs of angles are formed, including corresponding angles, alternate interior angles, and same side interior angles, which have specific relationships.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent if they have the same measure.

Front

How can you prove that two lines are parallel using the Same Side Interior Angles Converse?

Back

If the same side interior angles are supplementary, then the two lines are parallel.

Front

What is the significance of the term 'converse' in geometry?

Back

In geometry, 'converse' refers to reversing the hypothesis and conclusion of a theorem.

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.