Transversals

Front

What is a transversal?

Back

A transversal is a line that intersects two or more other lines at distinct 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 is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, the corresponding angles are equal.

Front

What are alternate interior angles?

Back

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

Front

What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, the alternate interior angles are equal.

Front

What are consecutive interior angles?

Back

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

Front

What is the relationship between consecutive interior angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, the consecutive interior angles are supplementary (they add up to 180°).

Front

If m∠1 = 65°, what is m∠2 if ∠1 and ∠2 are corresponding angles?

Back

m∠2 = 65°.

Front

If m∠3 = 117°, what is m∠5 if ∠3 and ∠5 are alternate interior angles?

Back

m∠5 = 117°.

Front

If m∠4 = 58°, what is m∠6 if ∠4 and ∠6 are consecutive interior angles?

Back

m∠6 = 122° (since 180° - 58° = 122°).