Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Parallel Lines and Transversals
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Exercise 3 Page 503

When a transversal crosses two lines, there will be a total of eight angles created.

Let's go through the different kinds of pairs of angles there are and how they are related when the lines being crossed are parallel.

Pair of angles Congruent?
Corresponding angles Yes
Alternate interior angles Yes
Alternate exterior angles Yes
Consecutive Interior angles No
Corresponding angles have corresponding positions. For example, each angle could be above the line and to the right of the transversal. By the Corresponding Angles Theorem, we know the following angles are congruent.
Alternate interior angles are pairs of angles that lie between the two lines and on opposite sides of the transversal. By the Alternate Interior Angles Theorem, we know the following angles are congruent.
Alternate exterior angles are pairs of angles that lie outside the two lines and on opposite sides of the transversal. By the Alternate Exterior Angles Theorem, we know the following angles are congruent.