Final answer:
The question is about a geometry concept where ray EI bisects angle DEF, creating two equal angles, and mentioning segment GI with a length of 3 inches.
Step-by-step explanation:
The question pertains to the subject of Geometry, which is a branch of Mathematics. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts. When it is given that EI→ bisects ∠DEF, this means that ray EI cuts ∠DEF into two angles of equal measure.
If GI is given as 3 inches, it implies that there is a segment GI with a length of 3 inches, which could be related to the geometry of the situation. However, more information would be necessary to determine the relevance of this length to the angle bisector mentioned.
To understand bisectors in a practical sense, imagine a piece of pie cut into two equal slices. The knife that cuts the pie represents the bisector, and the tip of the pie where the knife starts cutting represents the vertex of the angle. The two edges of the pie representing the sides of the angle are spread apart where the knife cuts straight through the middle, creating two equal angles on either side. In mathematical terms, if ∠DEF was originally, say, 60 degrees, then EI→, being the bisector, would create two angles of 30 degrees each.