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What is a series of points that extends infinitely in the opposite directions?
A line (which by definition goes on to infinity in both directions).
Does a pencil extend infinitely in both directions?
No. Pencil's like a ray. It extends only In One direction
Can a ray extend infinitely in both directions?
No, a ray extends infinately in one direction; but this can be any direction at all
Does a line go on forever?
In Euclidean geometry, a line is considered to be infinitely long in both directions, meaning it extends indefinitely in both the positive and negative directions along its path. This concept is based on the definition of a line as a straight path with no endpoints. Therefore, mathematically speaking, a line does go on forever.
Can parallel lines be a different size but still be parallel?
Yes; but in math, if you talk about "lines", that means one that stretches infinitely in both directions. If you are talking about limited-length "lines", those are called "segments".Yes; but in math, if you talk about "lines", that means one that stretches infinitely in both directions. If you are talking about limited-length "lines", those are called "segments".Yes; but in math, if you talk about "lines", that means one that stretches infinitely in both directions. If you are talking about limited-length "lines", those are called "segments".Yes; but in math, if you talk about "lines", that means one that stretches infinitely in both directions. If you are talking about limited-length "lines", those are called "segments".
