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m11q5

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m11q5 [#permalink] New post 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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Re: m11q5 [#permalink] New post 05 Jun 2012, 00:34
Expert's post
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
Kite and Rhombus.png [ 167.86 KiB | Viewed 467 times ]


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

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