3.1 Parallel Lines, Transversals, and Angle Pairs Warm-Up

Front

What are parallel lines?

Back

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

Front

What is a transversal?

Back

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

Front

What are vertical angles?

Back

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

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles on opposite sides of a transversal but inside the two lines. They are equal when 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. They are equal when the lines are parallel.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles on opposite sides of a transversal but outside the two lines. They are equal when the lines are parallel.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles on the same side of the transversal and inside the two lines. They are supplementary when the lines are parallel.

Front

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

Back

When a transversal intersects parallel lines, specific angle pairs (corresponding, alternate interior, alternate exterior, and consecutive interior) have defined relationships (equal or supplementary).

Front

How can you identify vertical angles in a diagram?

Back

Vertical angles can be identified as the angles that are opposite each other at the intersection of two lines.

Front

How can you identify alternate interior angles in a diagram?

Back

Alternate interior angles can be identified as the angles that lie between the two lines and are on opposite sides of the transversal.