Answer:
First definition:
- Duru's definition: A line segment is a line connecting two endpoints
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- Teacher's comment: What you've written is true, but it isn't a correct definition. A ray would also fit your defenition
Second definition:
- Oliver's definition: A line segment is when three points are all on the same line.
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- Teacher's comment: Were you thinking of the team collinear?
Third definition:
- Carlos' definition: A line segment is part of a line, not the whole thing.
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- Teacher's comment: I think you have the right idea, but you need to be more careful with your language.
Explanation:
A line segment is part of a line that connects points. It limited consequently, it has length.
- Duru's definition: A line segment is a line connecting two endpoints
It is missing that it is just a part of the line. A ray also connects two points but extends infinetly in one direction. Thus, Duru's definition is not so specific.
That justifies teacher's comment:
- Teacher's comment: What you've written is true, but it isn't a correct definition. A ray would also fit your defenition
Second definition:
- Oliver's definition: A line segment is when three points are all on the same line.
The constraint of a line segment to three points all on the same line corresponds to collinear points. Two points always form a line,, but three points lie on a line only in they are collinear.
That justifies, theacher's comment:
- Teacher's comment: Were you thinking of the team collinear?
Third definition:
- Carlos' definition: A line segment is part of a line, not the whole thing.
Mathematicall language is formal. You must use precise words. An expression as 'whole thing" is not formal.
That justifies teacher's comment:
- Teacher's comment: I think you have the right idea, but you need to be more careful with your language.
