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 Equilic Quadrilateral: Theorem 3. Rhombus Level: High School, SAT Prep, College geometry

In the figure below ABCD is an equilic quadrilateral. Prove that the midpoints E, G, F, and H of the diagonals and the sides BC and AD always determine a rhombus EFGH.

Equilic Quadrilateral and rhombus


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