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Is this quadrilateral a parallelogram? If it is or isn't please explain why!  ...

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tjjavid | Student, Undergraduate

Posted April 26, 2013 at 12:03 PM via web

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Is this quadrilateral a parallelogram? If it is or isn't please explain why!

 

Appreciate it!  Picture link below

http://static.panoramio.com/photos/medium/89353755.jpg

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durbanville | High School Teacher | (Level 1) Educator Emeritus

Posted April 26, 2013 at 2:21 PM (Answer #2)

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The diagonals of a parralelogram bisect each other. As we are given that the first diagonal has two lengths of 3 ie 3=3 and the second diagonal has two lengths of 4 ie 4=4.

Therefore we can see that the diagonals do indeed bisect each other as the first diagonal (a total of 6 units) cuts the line of 8 units into 2 equal sections (4 and 4) and the second diagonal (a total of 8 units) cuts the line of 6 units into 2 equal sections (3 and 3).  

The diagonals of a parralelogram bisect each other. Therefore the quadrilateral is a parralelogram.  

 

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oldnick

Posted April 26, 2013 at 2:13 PM (Answer #1)

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A quadrilate is a figure with four sides, even trapezoid is a quadrlater too.

But a parallelogram is a quadrilater  with parallel sides twice by twice.

You can figure it  as a rectangular frame of which is moved only them the upper side, this will tilt but the sides will continue to be always two by two parallel. 

Thus the parallelogram si a particular kind of quadrilater, as, sqaure rectangulus, trapezoid and so on..

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