Geometry

The answer is D. EF + FG = EG.

1. Recall the properties of a mid - point:

If is the midpoint of line segment , it divides into two congruent line segments. That is, .

Also, by the segment - addition postulate, for three collinear points , , and , the length of the whole segment is the sum of the lengths of its non - overlapping sub - segments and . So, .

2. Analyze each option:

A: . Since is the midpoint of , , not (where is the same as ). So this option is False.

B:

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