Question

Which statements are true based on the diagram?
Select three options.
1. Points N and K are on plane A and plane S.

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

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

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

5. Line d intersects plane A at point N.

Answer 1

Answer:

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

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

Points M, P, and Q are noncollinear.  

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Step-by-step explanation:

Answer 2

According to the given diagram of Intersecting planes, Option (1), Option (3), Option (4) are True.

What are planes?

A plane is a two-dimensional, flat surface that stretches indefinitely.

When does a point lie on a plane?

A point is said to lie on a plane when it satisfies the equation of plane which is ax^3 + bx^2 + cx+ d = 0 and sometimes it is just visible in the figure whether a point is lying on a plane or not.

In Option(1) : Points N and K are lying on the line of intersection of plane A and S and will satisfy the equation of both planes.

In Option(2) : Point P is lying on both planes B and S, but the point M is lying only on plane B, hence this option is wrong.

In Option(3) : It is clearly visible the Point P is the point of intersection of lines n and g.

In Option(4) : It is clearly visible that Points M,P,Q are not lying on the same line, hence they are non-collinear.

In Option(5) : Line d intersects the plane A at point L and not point N, hence this is also wrong.

Hence the correct options are 1,3,4.

Learn more about planes:

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