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              	The figure shows a right triangle ABC with the square ACDE. The bisector of angle ABC cuts AC and DE at F and G, respectively. HM is perpendicular to BF at B (H on EA extended, M on DC extended). Prove that the quadrilaterals AFGE, FCDG, and AHMC are congruent.
 
               
              	  
 
				
				See
				also:Original 
						problem 1203
 
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