According to basic postulates of Euclidean geometry, Option A - Any straight line segment can be extended indefinitely and Option D - A straight line segment can be drawn between any two points can apply.
What is Euclidean geometry?
"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"
As per the five basic postulates of Euclidean geometry
- A straight line can be drawn from any point to another point.
- A terminated line can be further produced indefinitely.
- A circle can be drawn with any centre and any radius.
- All right angles are equal to one another.
- If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.
Hence, option A and D can apply.
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