Question

three students attempt to define what it means for lines l and m to be parallel. can you match the teachers comments to the definitions? definition of parallel lines teachers comments danielas definition: lines l and m are parallel if they intersect at right angles. were you thinking of perpendicular lines? oris definition: lines l and m are parallel if they go in the same direction. it seems like youve got the basic idea, but your definition could be more precise. kaoris definition: at every point on line l, line m is the same distance away. yes! well done. here, have a cookie. youve earned it.

Explanation:

Daniela's definition is for perpendicular lines, not parallel lines, so the teacher's comment "Were you thinking of perpendicular lines?" matches it. Ori's definition has the basic idea of parallel lines going in the same direction but is imprecise, so the comment "It seems like you've got the basic idea, but your definition could be more precise." matches. Kaori's definition correctly states the key property of parallel lines (constant distance between them), so the comment "Yes! Well done. Here, have a cookie. You've earned it." matches.

Answer:

Daniela's definition - Were you thinking of perpendicular lines?
Ori's definition - It seems like you've got the basic idea, but your definition could be more precise.
Kaori's definition - Yes! Well done. Here, have a cookie. You've earned it.