SOLUTION: Hello, Is it possible to state that the following quadrilateral is a parallelogram: given - Top and bottom line segments are parallel. The sides are of equal length to each o

Question 187689: Hello,
Is it possible to state that the following quadrilateral is a parallelogram:
given -
Top and bottom line segments are parallel.
The sides are of equal length to each other.
A diagonal is drawn from lower left corner to upper right.
The quad can be visualized as ABCD (from lower left and going counter clockwise).
I say it is a parallelogram by reason that two internal triangles are congruent (BEC and DEA). Point "E" is developed when I draw a second diagonal from the upper left to lower right corners.
My friend says it is not a parallelogram. He does not see that the two inner triangles are congruent.
Your help would be appreciated.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is is possible to post a picture? I think I have the quadrilateral visualized, but I'm sure I'm missing some critical information.
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