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.

For the new line drawn parallel to l, the line p has been drawn in such a manner that it has been on the same plane as line l. Thus, option C is correct.

The given set of lines has been found be consisting with plane A having line m, plane B having line n. The line m and n are perpendicular to the each other.

According to the planes, the new line l has been drawn parallel to line p. The line p has been capable of intersecting plane B. Thus, line l has been intersecting plane B as well.

Since, a line has not been capable of intersecting its own plane, the line p has been drawn in such a manner that it has been on the same plane as line l. Thus, option C is correct.

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Line p must be drawn so that it can lie in the same plane as line l.

Step-by-step explanation:

Let us first rewrite main information from this question:

- there is plane A containing line m

- there is plane B containing line n

- lines m and n are perpendicular

And, then, we have a new line l on a plane A. Since lines are infinite and line l is slightly diagonal, that means that it's going to intersect plane B at some point.

Now, since this newly drawn line p is parallel to line l, it will have the same features as l, meaning that it will also intersect plane B.

Since it's impossible for a line to intersect a plane containing it, that means that line p lies in the same line as line l.

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step-by-step explanation: