Angle Pairs Theorem

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

• congruent.

• supplementary.

• none of the above.

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

• congruent.

• supplementary.

• none of the above.

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is

• congruent.

• supplementary.

• none of the above.

• congruent, because vertical angles are congruent.

• supplementary, by the alternate exterior angle theorem.

• congruent, by the alternate exterior angle theorem.

• supplementary, by the corresponding angle postulate.

• congruent, by the corresponding angle postulate.

• supplementary, because linear pairs are supplementary.

• congruent, by the alternate exterior angle theorem.

• supplementary, by the consecutive interior angle theorem.

• congruent, because vertical angles are congruent.

• supplementary, by the corresponding angle postulate.

• congruent, by the alternate interior angle theorem.

• supplementary, by the consecutive interior angle theorem.

• congruent, by the consecutive interior angle theorem.

• supplementary, by the alternate interior angle theorem.

• congruent, because vertical angles are congruent.

• supplementary, because linear pairs are supplementary.

• congruent, by the consecutive interior angle theorem.

• supplementary, by the corresponding angle postulate.

• congruent, because vertical angles are congruent.

• congruent, by the alternate interior angle theorem.

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm