Question

three students attempt to define what a circle is. can you match the teachers comments to the definitions? definition of a circle teachers comments rubys definition: a 3 - dimensional shape whose boundary consists of all points equidistant from a fixed point (the center). you are correct. nicely done! shriyas definition: the set of all points in a 2d plane such that for every point in the set there is exactly one other point in the set that is d (call it diameter) units away. this is incorrect. for example, your definition also allows for the following shape, which is just part of a circle: abhisheks definition: the set of all points in a plane that are the same distance (radius) away from some given point (center). are you thinking of a sphere?

Explanation:

Ruby's definition is of a sphere (3 - dimensional), not a circle. Shriya's definition is incorrect as it doesn't accurately define a circle. Abhishek's definition correctly defines a circle as the set of all points in a plane at a fixed distance (radius) from a given point (center).

Answer:

Ruby's definition - Are you thinking of a sphere?
Shriya's definition - This is incorrect. For example, your definition also allows for the following shape, which is just part of a circle.
Abhishek's definition - You are correct. Nicely done!