Is the following statement true or false?The intersection of a plane and a line segment can be a ray.truefalseSubmit
Question
Is the following statement true or false?
The intersection of a plane and a line segment can be a ray.
true
false
Submit
Solution
The statement is false.
Explanation
- A line segment is a part of a line that is bounded by two distinct endpoints.
- A plane is a flat, two-dimensional surface that extends infinitely in all directions.
- The intersection of a plane and a line segment can result in a point or a larger segment of the line, depending on their orientations.
- A ray, by definition, extends infinitely in one direction from a starting point and is not consistent with the bounded nature of a line segment.
Therefore, the intersection of a plane and a line segment cannot yield a ray.
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