Geometry

The correct answer is A.FG = 24 and EG = 48.

1. Recall the property of a midpoint:

If a point  is the midpoint of a line segment , then it divides the line segment  into two congruent sub - segments. That is, .

We are given that . Since  (because  is the midpoint of ), then .

2. Use the segment addition postulate:

The segment addition postulate states that for three collinear points , , and

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