Angle Pairs and Parallel Lines

Front

What is the Corresponding Angles Theorem?

Back

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

Front

What is the Alternate Exterior Angles Theorem?

Back

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

Front

What is the Same Side Exterior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of same side exterior angles are supplementary (add up to 180°).

Front

What is the Vertical Angles Theorem?

Back

When two lines intersect, the opposite (vertical) angles are equal.

Front

What is a transversal?

Back

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

Front

Given f//g, what can be concluded about ∠3 and ∠7?

Back

∠3 ≅ ∠7 by the Corresponding Angles Theorem.

Front

Given f//g, what can be concluded about ∠2 and ∠7?

Back

∠2 ≅ ∠7 by the Alternate Exterior Angles Theorem.

Front

Given r//s, what can be concluded about ∠1 and ∠8?

Back

∠1 ≅ ∠8 by the Alternate Exterior Angles Theorem.

Front

Given f//g, what can be concluded about m∠2 and m∠8?

Back

m∠2 + m∠8 = 180° by the Same Side Exterior Angles Theorem.

Front

Given r//s, what can be concluded about ∠2 and ∠5?

Back

∠2 ≅ ∠5 by the Vertical Angles Theorem.