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Correct Statements?

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February 12, 2009
geometryparallelogram

Problem Statement

Given triangle ABC ABC with medians AE AE, BF BF, CD CD; FH FH parallel and equal to AE AE; BH BH and HE HE are drawn; FE FE extended meets BH BH in G G. Which one of the following statements is not necessarily correct? (A)\ AEHF \text{ is a parallelogram} \qquad (B)\ HE\equal{}HG \\ (C)\ BH\equal{}DC \qquad (D)\ FG\equal{}\frac{3}{4}AB \qquad (E)\ FG\text{ is a median of triangle }BFH
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