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Which of the following are zero-dimensional or one-dimensional figures?Check all that apply.A.RayB.PointC.AngleD.SegmentE.LineF.Plane

Question

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Solution

To determine which of the given options are zero-dimensional or one-dimensional figures, we need to define what these dimensions represent:

  • Zero-Dimensional Figures: These figures do not have length, width, or height. They are essentially defined at a single point in space.

  • One-Dimensional Figures: These figures have length but no width or height. They can be thought of as lines that extend in one direction.

Analysis of Each Option

  1. A. Ray: A ray has one endpoint and extends infinitely in one direction. It is one-dimensional.

  2. B. Point: A point has no length, width, or height. It is zero-dimensional.

  3. C. Angle: An angle is formed by two rays but is not considered a one-dimensional figure. It represents a two-dimensional space because it defines a shape in a plane.

  4. D. Segment: A line segment has two endpoints and a defined length, making it one-dimensional.

  5. E. Line: A line extends infinitely in both directions and has one dimension (length) without width or height.

  6. F. Plane: A plane has two dimensions (length and width). It is not zero-dimensional or one-dimensional.

Conclusion

The zero-dimensional and one-dimensional figures from the options given are:

  • Zero-Dimensional: B. Point
  • One-Dimensional: A. Ray, D. Segment, E. Line

Final Answer

The figures that are zero-dimensional or one-dimensional are: B. Point, A. Ray, D. Segment, and E. Line.

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