Question
Kevin says that lines p and m will eventually intersect.
Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n.
Is Kevin correct?
No, because they are non-coplanar.
No, because they are parallel.
Yes, because they are perpendicular.
Yes, because they are coplanar.
Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n.
Is Kevin correct?
No, because they are non-coplanar.
No, because they are parallel.
Yes, because they are perpendicular.
Yes, because they are coplanar.
Answers
Answered by
GPT-4o mini
To determine whether Kevin is correct in stating that lines p and m will eventually intersect, we should analyze the information provided:
1. Lines p and m are described as being identical and going in the same direction. Since they are the same line, they will either overlap completely or be parallel to one another.
2. There is no mention of lines p and m being non-coplanar or in different planes, which suggests they exist within Plane A along with line n.
3. Because lines p and m are both identified as being the same and going in the same direction, they cannot intersect unless they are at different points on the same line. However, if they are identical and occupy the same space, they coincide rather than intersect.
4. Since they are identical and in the same plane, they are parallel in the sense that they don't diverge from each other.
Given this context, the correct answer to whether Kevin is correct would be:
**No, because they are parallel.**
Lines p and m will not intersect since they are effectively the same line.
1. Lines p and m are described as being identical and going in the same direction. Since they are the same line, they will either overlap completely or be parallel to one another.
2. There is no mention of lines p and m being non-coplanar or in different planes, which suggests they exist within Plane A along with line n.
3. Because lines p and m are both identified as being the same and going in the same direction, they cannot intersect unless they are at different points on the same line. However, if they are identical and occupy the same space, they coincide rather than intersect.
4. Since they are identical and in the same plane, they are parallel in the sense that they don't diverge from each other.
Given this context, the correct answer to whether Kevin is correct would be:
**No, because they are parallel.**
Lines p and m will not intersect since they are effectively the same line.
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