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geometry

by sud21 » Thu Jan 12, 2012 9:36 am
Is ABCD rectangular?
1). Angle ABC and BCD are right angle
2). Two diagonal have the same length.
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Source: — Data Sufficiency |
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by mankey » Thu Jan 12, 2012 10:01 am
Both conditions together tell that it is a rectangular. Any one by itself is insufficient.

IMO:C.

What is the OA?

Thanks.
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by sud21 » Fri Jan 13, 2012 11:40 am
mankey wrote:Both conditions together tell that it is a rectangular. Any one by itself is insufficient.

IMO:C.

What is the OA?

Thanks.
St.1 A rectangle is defined as a quadrilateral where all four of its angles are right angles. Only two angles are similar. Insufficient.

St.2 If diagonals are of same length, it has to constitute a rectangle. Here diagonals are of same length. But it is also true for a square. Insufficient.

Taking both, From st.1 AB || CD because of right angles and from st.2 we got equal diagonals.

Ans. C
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