Planes A and B both intersect plane S. Vertical plane S intersects horizontal plane A and horizontal plane B. Plane S and plane A intersect at line f. Line f contains points N and K. Plane S and plane B intersect at line g. Line g contains points P and Q. Line d intersects plane A at point L. Which statements are true based on the diagram? Select three options. 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.

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Answer:

Points N and K are on a plane A and plane S ( True )

Points P and M are on a plane B and plane S

Point P is the intersection of line n and line g ( True )

Points M, P, and Q are noncollinear ( True )

Line d intersects plane A at point N.

Step-by-step explanation:

Just took the test and got it right :)

The true are 1, 3, 4 and false are 2, 5.

To choose the statement are true or false.

What is plane?

A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.

Given that:

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

From  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 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 line d intersects plane S at point L, not at point N, then this option is false.

Learn more about plane here:

https://brainly.com/question/17608790

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Diagram is missing.