Question

Planes A and B both intersect plane S.

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.

Answer 2

The definition of an angle uses the undefined term is $\boxed{{\text{Point}}}$. Option (B) is correct.

Further Explanation:

Given:

The options are as follows,

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

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

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

D. Points M, P, and Q are non-collinear.

E. Line d intersects plane A at point N.

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

A ray is defined as the distance between the two points that extends to infinite in one direction.

Plane extends in two dimensions.

In option A

It has been observed that the Points N and K are on plane A and plane S.

Option (A) is true.

In option B

It has been observed that the Points P and M are on plane B and plane S.

Option (B) is false.

In option C

It has been observed that the Point P is the intersection of line n and line g.

Option (C) is true.

In option D

It has been observed that the Points M, P, and Q are non-collinear.

Option (D) is true.

In option E

It has been observed that the Line d intersects plane A at point N.

Option (E) is false.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: non-collinear, collinear, plane A, plane S, intersects, point N, line n, line g, plane B, definition, angle, undefined term, line, point, ray, plane, an angle, points, extend, infinite.