Question

Use the diagram to the right to name the following:
A line containing point F
Another name for line k
A plane containing point A
An example of three non-collinear points
The intersection of plane M and line k

Answer 1

Data in the given image:

M is a plane, J and K are lines.

A line containing point F is J.

Another name for line k is BC.

A plane containing point A is M.

An example of three non-collinear points are A, B, F (or) C, D, A (or) B, F D.

The intersection of plane M and line k is point C.

Answer 2

In order to solve such problems, we need to know about Lines and points.

Lines

A line is a series of points joined together to form a line. It is one-dimensional and can be extended till infinite.

Non-Colinear Points

When three points are lying on the same straight line they are known as collinear points, while the which does not lay on the same straight lines are known as non-collinear points.

Given to us,

• A line containing point F
• Another name for line k
• A plane containing point A
• An example of three non-collinear points
• The intersection of plane M and line k

• A line containing point F, The line containing point f is line DF on which point D and point F are the last endpoints.

• Another name for line k, line k contains points B and C, therefore, can be named as line BC.

• A plane containing point A, The plane through which the line k and line Df is going is the same plane on which point A lies, therefore, plane M.

• An example of three non-collinear points, example of three non-collinear points is points A, E, and F. as they are not in a straight line.

• The intersection of plane M and line k, As we can see in the image the intersection where line k and plane M intersect is point E.

Learn more about Planes and Lines:

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