Is the following statement true or false?The intersection of a plane and a ray can be a line segment.truefalseSubmit
Question
Is the following statement true or false?
The intersection of a plane and a ray can be a line segment.
true false
Submit
Solution
The statement is false.
Explanation
- A ray is defined as a part of a line that starts at a point and extends infinitely in one direction.
- When a plane intersects with a ray, the intersection will either be:
- A single point (if the ray enters the plane and exits it without being tangent)
- The entire ray (if the ray lies in the plane itself).
Therefore, the intersection of a plane and a ray cannot be a line segment because a line segment requires both endpoints and a ray, by definition, has only one endpoint and extends indefinitely in one direction.
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