Question

three students attempt to define what a line segment is.
can you match the teachers comments to the definitions?
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.
were you thinking of the term collinear?
i think you have the right idea, but you need to be more careful with your language.
what youve written is true, but it isnt a correct definition. a ray would also fit your definition.

Explanation:

• Duru's definition: The teacher's comment "I think you have the right idea, but you need to be more careful with your language" fits. A line segment is part of a line between two endpoints. Saying "a line connecting two endpoints" is a bit too vague in language as it doesn't emphasize the part - of - a - line aspect clearly.
• Oliver's definition: The comment "Were you thinking of the term collinear?" is appropriate. Oliver's definition about three points on the same line is actually the definition of collinear points, not a line segment.
• Carlos' definition: The comment "What you've written is true, but it isn't a correct definition. A ray would also fit your definition" is correct. Carlos' statement that a line segment is part of a line (not the whole thing) is true, but a ray is also part of a line (with one endpoint and extending infinitely in one direction), so his definition is too broad.

Answer:

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