Question

Is it possible for EF and EG to name the same ray?

A) Yes, they can represent the same ray.
B) No, they always represent different rays.
C) It depends on the angles formed.
D) Only if E is the midpoint of FG.

Answer 1

EF and EG can name the same ray if the ray originates at point E and both points F and G lie on that ray, with one being between the other and point E. The correct option is A.

Step-by-step explanation:

The question you're asking relates to geometry, specifically the naming of rays. When we talk about rays in geometry, the name of a ray is composed of two points: the starting point (which is the origin of the ray) and another point that the ray passes through. Therefore, EF and EG can indeed represent the same ray if point F is between points E and G, or if G is between points E and F. The crucial part is the point where the ray originates, which is E in this case.

Hence, A is the correct option.