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# Square ABCD is graphed in the standard coordinate plane. If the (x,y)

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Math Expert
Joined: 02 Sep 2009
Posts: 64163
Square ABCD is graphed in the standard coordinate plane. If the (x,y)  [#permalink]

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11 Aug 2019, 04:26
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Difficulty:

25% (medium)

Question Stats:

73% (01:16) correct 27% (01:39) wrong based on 48 sessions

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Square ABCD is graphed in the standard coordinate plane. If the (x,y) coordinates of points A, B and C are (2, 1), (1, 2) and (2, 3), respectively, what are the coordinates of point D?

(A) (3, 1)
(B) (3, 2)
(C) (3, 3)
(D) (1, 3)
(E) (1, 4)

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Re: Square ABCD is graphed in the standard coordinate plane. If the (x,y)  [#permalink]

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11 Aug 2019, 05:18
Bunuel wrote:
Square ABCD is graphed in the standard coordinate plane. If the (x,y) coordinates of points A, B and C are (2, 1), (1, 2) and (2, 3), respectively, what are the coordinates of point D?

(A) (3, 1)
(B) (3, 2)
(C) (3, 3)
(D) (1, 3)
(E) (1, 4)

If we plot the points A, B and C then D will be at (3,2)
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Re: Square ABCD is graphed in the standard coordinate plane. If the (x,y)  [#permalink]

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11 Aug 2019, 09:06
Bunuel wrote:
Square ABCD is graphed in the standard coordinate plane. If the (x,y) coordinates of points A, B and C are (2, 1), (1, 2) and (2, 3), respectively, what are the coordinates of point D?

(A) (3, 1)
(B) (3, 2)
(C) (3, 3)
(D) (1, 3)
(E) (1, 4)

plot the values for given coordinates we get point D as 3,2
IMO B
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Re: Square ABCD is graphed in the standard coordinate plane. If the (x,y)  [#permalink]

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11 Aug 2019, 09:34
If we plot the points A, B and C then D will be at (3,2)
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Re: Square ABCD is graphed in the standard coordinate plane. If the (x,y)  [#permalink]

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11 Aug 2019, 11:51
Bunuel wrote:
Square ABCD is graphed in the standard coordinate plane. If the (x,y) coordinates of points A, B and C are (2, 1), (1, 2) and (2, 3), respectively, what are the coordinates of point D?

(A) (3, 1)
(B) (3, 2)
(C) (3, 3)
(D) (1, 3)
(E) (1, 4)

You can check that the gap is of 1 unit. Only B and E satisfy that with point (2,3). You will have to either visualise or draw to reach to the final answer.
IMO B
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Re: Square ABCD is graphed in the standard coordinate plane. If the (x,y)   [#permalink] 11 Aug 2019, 11:51