Parallel Lines Cut by Transversal Postulate

If a parallel line is perpendicular to one line that is parallel to another, then the line is perpendicular to the second parallel line, what is the name of this theorem?

• Corresponding Angles Postulate

• Converse Alternate Interior Angle Theorem

• Perpendicular Transversal Theorem

• Same-Side Exterior of Angles 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.

• 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 corresponding angle postulate.

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

• congruent.

• supplementary.

• none of the above.