Question

Planes A and B both intersect plane S.

Which statements are true based on the diagram? Check all that apply.

Points N and K are on plane A and plane S.
Points P and M are on plane B and plane S.
Point P is the intersection of line n and line g.
Points M, P, and Q are noncollinear.
Line d intersects plane A at point N.

Answer 1

1. Points N and K are on plane A and plane S.

From the diagram you can see that points N and K are on the plane A and on the plane S. Thus, this option is true.

2. Points P and M are on plane B and plane S.

From the diagram you can see that points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.

3. Point P is the intersection of line n and line g.

Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.

4. Points M, P, and Q are noncollinear.

It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.

5. Line d intersects plane A at point N.

From the diagram you can see that line d intersects plane S at point L, not at point N, then this option is false.

Answer: true - 1, 3, 4, false - 2, 5.