Which of the following are zero-dimensional or one-dimensional figures?Check all that apply.A.RayB.PointC.AngleD.SegmentE.LineF.Plane
Question
Which of the following are zero-dimensional or one-dimensional figures? Check all that apply.
- A. Ray
- B. Point
- C. Angle
- D. Segment
- E. Line
- F. Plane
Solution
To determine which of the given options are zero-dimensional or one-dimensional figures, we need to define what these dimensions represent:
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Zero-Dimensional Figures: These figures do not have length, width, or height. They are essentially defined at a single point in space.
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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
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A. Ray: A ray has one endpoint and extends infinitely in one direction. It is one-dimensional.
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B. Point: A point has no length, width, or height. It is zero-dimensional.
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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.
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D. Segment: A line segment has two endpoints and a defined length, making it one-dimensional.
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E. Line: A line extends infinitely in both directions and has one dimension (length) without width or height.
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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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