Question

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.

Answer 1

Answer:

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

Step-by-step explanation:

so C

Answer 2

Answer:

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.