Determine If Lines Are Parallel

which lines, if any, are parallel? Explain.

• a||b, alternate interior angles converse

• a||b, alternate exterior angles converse

• c||d, alternate interior angles converse

• c||d, alternate exterior angles converse

• Not Parallel

• c||d, corresponding angles converse

• a||b, alternate interior angles converse

• c||d, consecutive interior angles converse

• Not Parallel

• a||b, consecutive interior angles converse

• No

• Yes by Consecutive Interior Angles Converse Theorem

• Yes by Alternate Interior Angles Converse Theorem

• Yes by Alternate Exterior Angles Converse Theorem

No. Only Alternate Exterior Angles being congruent verify parallel lines.

Yes by Corresponding Angles Converse Theorem

Yes by Alternate Interior Angles Converse Theorem

Yes by Alternate Exterior Angles Converse Theorem

• No. Only Alternate Exterior Angles being congruent verify parallel lines.

• Yes by Corresponding Angles Converse Theorem

• Yes by Alternate Interior Angles Converse Theorem

• Yes by Alternate Exterior Angles Converse Theorem

• r || s by the corresponding angles converse.

• t || u by the same side interior angles converse.

• t || u by alternate interior angles converse.

• there is not enough information to determine any lines are parallel

• a||b, same side interior angles converse

• c||d, alternate interior angles converse

• c||d, alternate interior angles converse

• Not Parallel. Angles do not share a transversal

Which theorem explains why the two lines are parallel?

• Alternate Exterior Angles Theorem

• Vertical Angles Theorem

• Alternate Exterior Angles Converse Theorem

• Corresponding Angles Converse Theorem

• a||b, corresponding angles converse

• c||d, corresponding angles converse

• c||d, linear pair postulate

• Not Parallel

Which statement below would NOT allow one to say that any of the lines are parallel?

• a||b, corresponding angles converse

• c||d, corresponding angles converse

• c||d, corresponding angles theorem

• Not Parallel