Geometry

1. Recall the rules for naming a plane:

A plane can be named by three non - collinear points that lie on the plane or by a single (usually cursive) letter assigned to the plane.

 

2. Analyze each option:

A: plane

Since point lies on the plane, and , , are non - collinear points on the plane,  “plane ” is a valid name for a plane that contains point .

 

B: plane

As M, O, and N are collinear, they do not define a unique plane. Even if we assume it refers to a plane containing that line, from the diagram, point R is not on the line MON, so point R is not on this plane.

 

C: plane

Since the label “b” in the figure is on a line, there is no “plane b” relevant to the plane containing point R. So, this option is incorrect.

 

D: plane

Since point lies within the region of the plane labeled with the cursive letter , “plane

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