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.
The definition of an angle uses the undefined term is [tex]\boxed{{\text{Point}}}[/tex]. 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.
Learn more:
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.
