In the figure ACDF is a parallelogram and AD and BE bisect each other. Prove that BC ? FE


AC ? FD since they are opposite sides in a parallelogram. AG ? GC and BG ? GE because AD and BE bisect each other. ?AGB and ?EGD are congruent because they are vertical angles. So ?AGB ? ?DGE by SAS. AB ? ED by C.P. Finally, since AB + BC = AC and FE + ED = FD, BC ? FE

Mathematics

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A.  
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