The answer is C.plane BGF.
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 capital letter (if it is labeled).
2. Analyze each option:
A.Points , , and are all on the plane that contains line segment and ray . Since , , and are non - collinear points on the plane, “plane ACE” is a valid name for the plane.
B.The plane is labeled as “plane D” in the given figure. So, “plane D” is a valid name for the plane that contains line segment and ray .
C.Points , , and are not on the same plane as line segment