Transversals & Parallel Lines

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 parallel lines?

Back

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

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 supplementary angles?

Back

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

Front

What is the relationship between parallel lines and alternate interior angles?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the relationship between parallel lines and corresponding angles?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

What is the value of x if two angles are supplementary and one angle measures 67°?

Back

x = 113° (since 180° - 67° = 113°).

Front

How do you find the measure of an angle if you know its supplementary angle?

Back

Subtract the measure of the known angle from 180°.

Front

What is the value of y if two angles are complementary and one angle measures 30°?

Back

y = 60° (since 90° - 30° = 60°).