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? definition of perpendicular lines teachers comments rubys definition: l and m are perpendicular if they never meet. wonderful! nice work! i couldnt have said it better myself 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. your definition is kind of correct, but it lacks mathematical precision. ashishs definition: l and m are perpendicular if they meet at a single point such that the two lines make a 90 - degree angle. what you thinking of parallel lines?

Explanation:

Ruby's definition is incorrect as non - intersecting lines are parallel, not perpendicular. Shriya's definition is partially correct but lacks precision. Abhishek's definition is the most accurate and precise in a mathematical sense. The teacher's comment "Wonderful! Nice work! I couldn't have said it better myself" should go with the most accurate definition, "Your definition is kind of correct, but it lacks mathematical precision" with the partially correct one, and "When you thinking of parallel lines?" with the incorrect one.

Answer:

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