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. yes! well done. here, have a cookie. oris definition: lines l and m are parallel if they go in the same direction. were you thinking of perpendicular lines? kaoris definition: at every point on line l, line m is the same distance away. it seems like youve got the basic idea, but your definition could be more precise.

Explanation:

Daniela's definition is of perpendicular lines, so the comment "Were you thinking of perpendicular lines?" matches it. Ori's definition of lines going in the same direction is a basic - but somewhat imprecise - way of thinking about parallel lines, so the comment "It seems like you've got the basic idea, but your definition could be more precise." matches it. Kaori's definition about the same distance at every point is a correct and precise definition of parallel lines, so the comment "Yes! Well done. Here, have a cookie. You've earned it." matches it.

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.