Parallel Lines and Transversals

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 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 are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie between two lines on the same side of a transversal.

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

How do you find the measure of an angle when given its supplementary angle?

Back

To find the measure of an angle when given its supplementary angle, subtract the measure of the known angle from 180 degrees.

Front

What is the value of y if ∠1 and ∠3 are supplementary and ∠1 = 2y + 10?

Back

If ∠1 and ∠3 are supplementary, then 2y + 10 + ∠3 = 180. Solve for y.

Front

What is the measure of an angle if ∠8 is 115 degrees and ∠15 is its corresponding angle?

Back

If ∠8 is 115 degrees, then ∠15 is also 115 degrees because corresponding angles are equal.

Front

What is the relationship between alternate exterior angles?

Back

Alternate exterior angles are equal when two parallel lines are cut by a transversal.