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# m11q5

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Intern
Joined: 07 Oct 2011
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04 Jun 2012, 17:41
Is quadrilateral ABCD a rhombus?

1) AC is perpendicular to BD
2) AB+CD = BC+AD

Could someone please explain with a diagram along with any useful properties of rhombus(if any to solve these kind of problems)

Thanks!
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Joined: 02 Sep 2009
Posts: 35843
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05 Jun 2012, 00:34
karthiksms wrote:
Is quadrilateral ABCD a rhombus?

1) AC is perpendicular to BD
2) AB+CD = BC+AD

Could someone please explain with a diagram along with any useful properties of rhombus(if any to solve these kind of problems)

Thanks!

Both kite and rhombus have the diagonals perpendicular to each other and the sum of the opposite sides equal to each other. So, ABCD can be a kite or a rhombus. Look at the diagram below:
Attachment:

Kite and Rhombus.png [ 167.86 KiB | Viewed 1792 times ]

For more on this subject check Polygons chapter of Math Book: math-polygons-87336.html

Hope it helps.
_________________
Re: m11q5   [#permalink] 05 Jun 2012, 00:34
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# m11q5

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