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Is the following statement true or false? The intersection of a plane and a line can be a line segment

User Butiri Dan
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2 Answers

5 votes

Final answer:

The intersection of a plane and a line can be a line segment - False

Step-by-step explanation:

The intersection of a plane and a line can be a point, empty set, or line, but not a line segment. A line segment is a portion of a line with two endpoints. The intersection of a plane and a line can have various outcomes depending on their positions relative to each other.

For example, if a line lies completely on a plane, the intersection is the line itself. If the line intersects the plane at a single point, the intersection is a point. If the line is parallel to the plane and doesn't intersect it, the intersection is an empty set. Therefore, the statement is false.

User Mickours
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4.1k points
4 votes

Answer:

the answer is true

Step-by-step explanation:

User JakobFerdinand
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