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In the xy-plane, the sides of a certain rectangle are

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In the xy-plane, the sides of a certain rectangle are [#permalink]

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New post 10 Nov 2008, 05:27
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In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the
vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?
(1) One of the vertices of the rectangle is (2, -2).
(2) One of the vertices of the rectangle is (2, 3).

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

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Re: DS:CD Geometry [#permalink]

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New post 10 Nov 2008, 05:41
(1) (-1,-2), (2, -2), this side is parallel to x axe, insuff to find the third vertex
(2) (-1,-2), (2, 3)

The third vertex could be either (2, -2) or (-1,3) (insuff)

(1) & (2), 3 vertices: (-1,-2), (2, -2),(2, 3) <= suff

So the answer is C

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Re: DS:CD Geometry [#permalink]

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New post 10 Nov 2008, 05:49
"are parallel to the axes"..shudnt it mean each pair of sides is parallel to x and y-axis?

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Re: DS:CD Geometry [#permalink]

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New post 10 Nov 2008, 06:02
is the QA B ?

One of the vertices is (-1,-2) A is not sufficient since joining it makes only one side.
B shows (2,3) as one of the vertices, it has to be the diagonal opposite one, since otherwise the side would not be parallel to axes ( yes they mean both the axes) .
Hence , its sufficient to find out the other two sides and their lengths.

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Re: DS:CD Geometry [#permalink]

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New post 10 Nov 2008, 06:17
yes the OA is B.
the explanation is precise...

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Re: DS:CD Geometry   [#permalink] 10 Nov 2008, 06:17
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In the xy-plane, the sides of a certain rectangle are

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