SAT Lines

Geometry Level 1

In the diagram above, points \(A\) and \(B\) have coordinates \(a\) and \(b,\) such that \(b>a.\) If \(M\) is the midpoint of segment \(\overline{AB},\) and \(M\) has the coordinate \(x,\) all of the following are true EXCEPT:

(A) \(\ \ AM = \frac{1}{2}AB\)
(B) \(\ \ MB = b-x\)
(C) \(\ \ \overline{AM} \cong \overline{MB}\)
(D) \(\ \ 2x = a+b\)
(E) \(\ \ x = 2b-a\)

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