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

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Is parellelogram ABCD a rectangle? 1. Each diagonal of ABCD [#permalink]

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31 Oct 2006, 23:20
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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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31 Oct 2006, 23:27
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

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01 Nov 2006, 03:05
E.

Nothing can be concluded from both the statements.
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01 Nov 2006, 22:28

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.
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