# SOLUTION: How do I prove that DEFG is a parallelogram? When Quadrilateral DEFG has vertices d(a,b) E(a+c,b)F(a+c+d,b+e)G(a+d,b+e).

Algebra ->  Algebra  -> Parallelograms -> SOLUTION: How do I prove that DEFG is a parallelogram? When Quadrilateral DEFG has vertices d(a,b) E(a+c,b)F(a+c+d,b+e)G(a+d,b+e).      Log On

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 Geometry: Parallelograms Solvers Lessons Answers archive Quiz In Depth

 Question 54418: How do I prove that DEFG is a parallelogram? When Quadrilateral DEFG has vertices d(a,b) E(a+c,b)F(a+c+d,b+e)G(a+d,b+e).Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!How do I prove that DEFG is a parallelogram? When Quadrilateral DEFG has vertices d(a,b) E(a+c,b)F(a+c+d,b+e)G(a+d,b+e). MID POINT OF DF = [{(A+A+C+D)/2},{(B+B+E)/2}]=[(2A+C+D)/2 , (2B+E)/2 ] MID POINT OF EG = [{A+C+A+D}/2 , {B+B+E}/2] = [(2A+C+D)/2 , (2B+E)/2 ] THAT IS MID POINTS ARE SAME...THAT IS DIAGONALS BISECT EACH OTHER...HENCE IT IS A PARALLELOGRAM