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Is parellelogram ABCD a rectangle? 1. Each diagonal of ABCD

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Senior Manager
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Is parellelogram ABCD a rectangle? 1. Each diagonal of ABCD [#permalink] New post 31 Oct 2006, 22:20
00:00
A
B
C
D
E

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Is parellelogram ABCD a rectangle?

1. Each diagonal of ABCD divides ABCD into two traingeles having equal areas.

2. AC bisects BD.
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 [#permalink] New post 31 Oct 2006, 22:27
St1 is insuff its true for ||gm and rectangle.
st2 is also insuff as it is true for both

Combining 1 and 2 also insuff

Thus answer is E
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 [#permalink] New post 01 Nov 2006, 02:05
E.

Nothing can be concluded from both the statements.
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 [#permalink] New post 01 Nov 2006, 21:28
The answer is E.

Statement 1:

Each diagonal divides ABCD into two triangles with equal area. This holds true for both parallelograms and rectangles.

Statement 2:

AC bisects BD. This also holds true for both. Think about other parallelograms - like a rhombus. AC will still bisect BD, even though its angles are not equal.
  [#permalink] 01 Nov 2006, 21:28
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Is parellelogram ABCD a rectangle? 1. Each diagonal of ABCD

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