Question

three students attempt to define what a line segment is. can you match the teachers comments to the definitions? definition of a line segment teachers comments durus definition: a line segment is a line connecting two endpoints. what youve written is true, but it isnt a correct definition. a ray would also fit your definition. olivers definition: a line segment is when three points are all on the same line. i think you have the right idea, but you need to be more careful with your language. carlos definition: a line segment is part of a line, not the whole thing. were you thinking of the term collinear?

Explanation:

Duru's definition is too general as it could also apply to a ray, so the corresponding comment is "What you've written is true, but it isn't a correct definition. A ray would also fit your definition." Oliver's statement about three points on the same line is related to collinearity and is not a proper definition of a line - segment, so the comment "Were you thinking of the term collinear?" fits. Carlos has the right - idea about a line - segment being part of a line but needs to be more precise in language, so the comment "I think you have the right idea, but you need to be more careful with your language." corresponds to his definition.

Answer:

Duru's definition - What you've written is true, but it isn't a correct definition. A ray would also fit your definition.
Oliver's definition - Were you thinking of the term collinear?
Carlos' definition - I think you have the right idea, but you need to be more careful with your language.