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 dunus 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. were you thinking of the term collinear? carlos definition: a line segment is part of a line, not the whole thing. i think you have the right idea, but you need to be more careful with your language.

Explanation:

Dunu's definition is too broad as it could also apply to a ray, so the teacher's comment about it not being a correct definition due to ray - fitting applies. Oliver's definition is about collinear points, not a line segment, so the teacher's comment about collinearity is relevant. Carlos has the general idea that a line segment is part of a line but lacks precision in language, which matches the teacher's comment.

Answer:

Dunu'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.