Question

corresponding angles postulate
if two parallel lines are cut by a transversal,
then the pairs of corresponding angles are
____.
alternate interior angles theorem
if two parallel lines are cut by a transversal,
then the pairs of alternate interior angles are
____.
wording for proof:
alternate exterior angles theorem
if two parallel lines are cut by a transversal,
then the pairs of alternate exterior angles are
____.
wording for proof:
consecutive interior angles theorem
if two parallel lines are cut by a transversal,
then the pairs of consecutive interior angles are
____.
wording for proof:

Explanation:

For the Corresponding Angles Postulate, when two parallel lines are cut by a transversal, the pairs of corresponding angles are congruent.
For the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the pairs of alternate interior angles are congruent.
For the Alternate Exterior Angles Theorem, when two parallel lines are cut by a transversal, the pairs of alternate exterior angles are congruent.
For the Consecutive Interior Angles Theorem, when two parallel lines are cut by a transversal, the pairs of consecutive interior angles are supplementary.

Answer:

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.