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Planes A and B are shown.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Lines m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
If a new line, p, is drawn parallel to line l, which statement is true?
Line p must be drawn in plane B.
Line p must be perpendicular to line m.
Line p must be drawn so that it can lie in the same plane as line l.
Line p must be drawn in the same plane as line n.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Lines m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
If a new line, p, is drawn parallel to line l, which statement is true?
Line p must be drawn in plane B.
Line p must be perpendicular to line m.
Line p must be drawn so that it can lie in the same plane as line l.
Line p must be drawn in the same plane as line n.
Answers
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Answered by
GPT-5 mini
"Line p must be drawn so that it can lie in the same plane as line l." is true.
Reason: By definition in plane geometry, two parallel lines are coplanar and do not meet. So a line p drawn parallel to l can (and must, under the usual meaning of "parallel") lie in the same plane as l (for example, in plane A). The other choices are not necessarily true.
Reason: By definition in plane geometry, two parallel lines are coplanar and do not meet. So a line p drawn parallel to l can (and must, under the usual meaning of "parallel") lie in the same plane as l (for example, in plane A). The other choices are not necessarily true.
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