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In the xy-plane, one of the vertices of square S is the

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In the xy-plane, one of the vertices of square S is the [#permalink] New post 26 May 2016, 07:20
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61% (00:53) correct 38% (00:49) wrong based on 31 sessions
In the xy-plane, one of the vertices of square S is the point (2, 2). The diagonals of S intersect at the point (6, 6).

Quantity A
Quantity B
Area of S
64


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



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Question: 1
Page: 100
[Reveal] Spoiler: OA

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Last edited by Carcass on 19 Dec 2016, 03:18, edited 1 time in total.
Edit the OA
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Re: In the xy-plane, one of the vertices of square S is the [#permalink] New post 26 May 2016, 07:25
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Explanation

Since the point (2, 2) is a vertex of square S and the point (6, 6) is the midpoint of the diagonals, it follows that the point (10, 10) is also a vertex of the square. Using this information you can sketch square S in the xy-plane, labeling the points (2, 2), (6, 6), and (10, 10) as shown in the figure below.


Image

From the figure, you can see that S has sides of length 8. Therefore the area of S is \(8^2\) = 64. Hence Quantity A is equal to Quantity B, and the correct answer is Choice C.


[Reveal] Spoiler: img
Attachment:
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test.jpg [ 34.05 KiB | Viewed 8476 times ]

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Re: In the xy-plane, one of the vertices of square S is the [#permalink] New post 27 Aug 2016, 06:09
Hi,

How do you get point (10,10)?

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Re: In the xy-plane, one of the vertices of square S is the [#permalink] New post 27 Aug 2016, 07:36
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totally agree with Sandy.....answer is C
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Re: In the xy-plane, one of the vertices of square S is the [#permalink] New post 18 Dec 2016, 19:50
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I agree, it should be C but it is saying that D is the correct answer when you click the button.
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Re: In the xy-plane, one of the vertices of square S is the [#permalink] New post 19 Dec 2016, 03:19
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Thank you guys to pointed out the OA. It was a typo.

Yes it is C

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Re: In the xy-plane, one of the vertices of square S is the   [#permalink] 19 Dec 2016, 03:19
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In the xy-plane, one of the vertices of square S is the

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