5th Review which lines are parallel

Which two lines are parallel based on the information in the image?

• Line e and line f

• Line a and line b

• Line e and line a

• Line f and line b

Given the angle measure in the diagram, which two lines MUST be parallel?

• P and Q

• R and S

• R and T

• S and T

• Yes; Corresponding Angles Converse

• Yes, Alternate Interior Angles Converse

• Yes, Alternate Exterior Angles Converse

• No, there is not enough information

Answer explanation

We cannot use vertical angles theorem to prove parallel lines

Determine which lines, if any, must be parallel.

#29

• None of the lines are parallel.

• r || s by the corresponding angles converse.

• t || u by the corresponding angles converse

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

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

• r || s by the corresponding angles postulate.

• 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, alternate interior angles converse

• a||b, alternate exterior angles converse

• c||d, alternate interior angles converse

• c||d, alternate interior angles converse

• Not Parallel

• a||b, consecutive interior angles converse

• a||b, consecutive exterior angles converse

• c||d, alternate interior angles converse

• c||d, alternate interior angles converse

• Not Parallel

• a||b, corresponding angles converse

• c||d, corresponding angles converse

• c||d, linear pair converse

• Not Parallel

• a||b, corresponding angles converse

• c||d, consecutive exterior angles converse

• a||b, consecutive interior angles converse

• c||d, consecutive interior angles converse
  

• Not Parallel