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 rays also connect two - points (one endpoint and one extending infinitely). Oliver's definition is about collinearity but is not a proper definition of a line - segment and has language issues. Carlos' definition is a bit vague and seems to be related to the concept of collinearity which he might be confused about.

Answer:

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