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

Explanation:

• Duru's definition: A ray also connects two endpoints (one is fixed, the other extends infinitely). So the teacher's comment about a ray fitting the definition applies here.
• Oliver's definition: Three points on the same line is about collinearity, not a line - segment. So the teacher's comment about collinear applies here.
• Carlos' definition: A line - segment is part of a line with two endpoints. The teacher's comment about being more careful with language (maybe missing the 'with two endpoints' part) applies here.

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 "Were you thinking of the term collinear?"
• Carlos' definition matches "I think you have the right idea, but you need to be more careful with your language."