Question

three students attempt to define what it means for lines ( l ) and ( m ) to be perpendicular.
can you match the teachers comments to the definitions?
rubys definition: ( l ) and ( m ) are perpendicular if they never meet.
shriyas definition: ( l ) and ( m ) are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle.
abhisheks definition: ( l ) and ( m ) are perpendicular if they meet at a single point such that the two lines make a \t.\
.our definition is kind of correct, but it lacks mathematical precision.
were you thinking of parallel lines?
woohoo! nice work! i couldnt have said it better myself!

Explanation:

• Ruby's definition is incorrect as lines that never meet are parallel, not perpendicular. So the comment "Were you thinking of parallel lines?" matches Ruby's definition.
• Abhishek's definition is kind - of correct but using the description "make a 'T'" is not mathematically precise. So the comment "Your definition is kind of correct, but it lacks mathematical precision." matches Abhishek's definition.
• Shriya's definition is the precise mathematical definition of perpendicular lines (two lines that intersect at a point and one of the angles at the intersection is a right - angle). So the comment "Woohoo! Nice work! I couldn't have said it better myself!" matches Shriya's definition.

Answer:

• Ruby's definition: Were you thinking of parallel lines?
• Shriya's definition: Woohoo! Nice work! I couldn't have said it better myself!
• Abhishek's definition: Your definition is kind of correct, but it lacks mathematical precision.