If a point M is not on line AB defined by points A and B, what geometric figure is created by point M and line AB?

When point M is not on line AB, the relationship between point M and line AB can be understood through the definition of geometric figures in a plane. A plane is defined as a flat two-dimensional surface that extends infinitely in all directions. When a point is not on a line, and we consider the line together with the point, we can create a plane that contains both the line and the point.

The inclusion of point M, which is off line AB, indicates that we can visualize the entire plane that encompasses line AB as it stretches infinitely in either direction along with point M. This creates a situation where one can conceptualize the area that lies above, below, and around line AB, including point M.

In this context, the other options do not accurately represent the relationship between the point and the line. A vertex typically refers to a point where two or more lines meet, which isn't applicable here since M is not on line AB. An angle arises from two rays that share a common endpoint, but since point M does not intersect line AB, an angle is not formed. Lastly, two lines would imply a description of intersecting or parallel lines, which again doesn’t describe the relationship between a single point and a line. Thus, when considering