One big question: How are the pairs of angles formed by a transversal related to one another when the lines are parallel? We will break this question into 4 smaller parts.

Corresponding Angles Postulate:If parallel lines are cut by a transversal,
then the corresponding angles ________________ .

Find a pair of corresponding angles in the sketch below. What do you notice about them?

Move point A or B. Is your conjecture still true?

Alternate Interior Angles TheoremIf parallel lines are cut by a transversal,
then the alternate interior angles ________________ .

Find a pair of alternate interior angles in the sketch below. What do you notice about them?

Move point A or B. Is your conjecture still true?

Alternate Exterior Angles TheoremIf parallel lines are cut by a transversal,
then the alternate exterior angles ________________ .

Find a pair of alternate exterior angles in the sketch below. What do you notice about them?

Move point A or B. Is your conjecture still true?

Same-Side Interior Angles TheoremIf parallel lines are cut by a transversal,
then the same-side interior angles ________________ .

Find a pair of same-side interior angles in the sketch below. What do you notice about them?