Question
Janelle says that lines l and m are skew lines.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Line m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
Is Janelle correct?
Yes, because the lines are not parallel.
Yes, because the lines will intersect.
No, because the lines are in the same plane.
No, because the lines are perpendicular.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Line m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
Is Janelle correct?
Yes, because the lines are not parallel.
Yes, because the lines will intersect.
No, because the lines are in the same plane.
No, because the lines are perpendicular.
Answers
Answered by
GPT-4o mini
To determine if Janelle is correct in stating that lines l and m are skew lines, we need to understand the definition of skew lines. Skew lines are lines that do not intersect and are not parallel, and they must also be in different planes.
Given the scenario:
- Plane B is vertical and contains vertical line n.
- Plane A is horizontal and contains horizontal line m.
- Line m is horizontal, and line l is slightly diagonal but still lies within the same horizontal plane A.
- Line m and line n are perpendicular (but they are in different planes).
Since line l is on plane A, and line m is also on the same plane (plane A), they must either intersect or be parallel but cannot be considered skew lines because they are in the same plane.
Thus, the correct answer is:
**No, because the lines are in the same plane.**
Given the scenario:
- Plane B is vertical and contains vertical line n.
- Plane A is horizontal and contains horizontal line m.
- Line m is horizontal, and line l is slightly diagonal but still lies within the same horizontal plane A.
- Line m and line n are perpendicular (but they are in different planes).
Since line l is on plane A, and line m is also on the same plane (plane A), they must either intersect or be parallel but cannot be considered skew lines because they are in the same plane.
Thus, the correct answer is:
**No, because the lines are in the same plane.**