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anik2000
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digonal of a rectangle does not split 90 degree into half 27 Sep 2017, 03:32
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digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help

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digonal of a rectangle does not split 90 degree into half 27 Sep 2017, 03:43
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anik2000
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help
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The answer is no. Diagonals of a parallelogram bisect its angles only if it is a rhombus, so only if all four sides of the parallelogram are equal.
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digonal of a rectangle does not split 90 degree into half 27 Sep 2017, 03:46
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digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help
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A rectangle is a special parallelogram (such that angles are 90 degrees). All properties of a parallelogram will be applicable to a rectangle (and some extra ones will be applicable too).
Since the diagonal of a rectangle does not split the 90 degree angle into 45 degree angles each, same will be true for a parallelogram too.

On the other hand, the diagonal of a rhombus splits the angle (whatever it may be) into equals.
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digonal of a rectangle does not split 90 degree into half 27 Sep 2017, 04:48
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anik2000
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help


A rectangle is a special parallelogram (such that angles are 90 degrees). All properties of a parallelogram will be applicable to a rectangle (and some extra ones will be applicable too).
Since the diagonal of a rectangle does not split the 90 degree angle into 45 degree angles each, same will be true for a parallelogram too.

On the other hand, the diagonal of a rhombus splits the angle (whatever it may be) into equals.
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thanx , and for this reason this parallelogram is actually a rhombus . I am attaching the picture.its GMAT OG 2016, NO 139. where can I find this type of special feature all for geometry?
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1.JPG [ 117.87 KiB | Viewed 12109 times ]

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digonal of a rectangle does not split 90 degree into half 27 Sep 2017, 04:57
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thanx , and for this reason this parallelogram is actually a rhombus . I am attaching the picture.its GMAT OG 2016, NO 139. where can I find this type of special feature all for geometry?
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Basics to Brush-Up Fundamentals



23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders




29. Graphs and Illustrations



For more check Ultimate GMAT Quantitative Megathread

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