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        Problem 431: Quadrilateral, Midpoints of Diagonals, Transversal 
              The figure shows a quadrilateral ABCD. 
				E and F are the midpoints of diagonals AC and BD. Line EF 
				intersects AB and CD at G and H, respectively. Prove that AG.DH 
				= BG.CH. 
  
				 
                
  
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