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Which of the following are one-dimensional and have infinite length?Check all that apply.A.AngleB.SegmentC.PointD.RayE.LineF.Plane

Question

Which of the following are one-dimensional and have infinite length?

Check all that apply.
A. Angle
B. Segment
C. Point
D. Ray
E. Line
F. Plane

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Solution

To determine which options are one-dimensional and have infinite length, let's analyze each option:

  1. Angle: An angle has dimensions (two rays forming an angle) and therefore is not one-dimensional.

  2. Segment: A segment is a part of a line that has two endpoints. It is finite and thus not one-dimensional with infinite length.

  3. Point: A point has no dimensions (0-dimensional). It does not have length, so it doesn't qualify.

  4. Ray: A ray starts at a point and extends infinitely in one direction. It is one-dimensional and has infinite length.

  5. Line: A line extends infinitely in both directions. It is one-dimensional and has infinite length.

  6. Plane: A plane has two dimensions (length and width) and does not fit the criteria.

Final Answer

The options that are one-dimensional and have infinite length are D. Ray and E. Line.

This problem has been solved

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