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Is the quadrilateral shown here http://static.panoramio.com/photos/medium/89353369.jpg...

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t4trendesetter | (Level 1) Honors

Posted April 26, 2013 at 12:08 PM via web

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Is the quadrilateral shown here http://static.panoramio.com/photos/medium/89353369.jpg a parallelogram?

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 26, 2013 at 3:02 PM (Answer #2)

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In the figure provided, let A, B, C and D represent the vertices starting from the top left and moving in a clockwise direction.

It is given that AB = CD. Also, the adjacent angles A and D are supplementary.

If a four sided polygon has a set of opposite sides that are equal in length and if the adjacent angles are supplementary, the polygon is a parallelogram.

The figure in the link provided is a parallelogram.

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