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GRE Math Challenge#116-In the figure above, ABCE is a square

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GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 15 May 2015, 11:57
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Question Stats:

100% (04:12) correct 0% (00:00) wrong based on 2 sessions
Attachment:
square.jpg
square.jpg [ 12.91 KiB | Viewed 524 times ]


In the figure above, ABCE is a square. What are the coordinates of point B?

(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)
[Reveal] Spoiler: OA

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Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 19 Dec 2017, 10:55
sandy wrote:
Image


In the figure above, ABCE is a square. What are the coordinates of point B?

(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)


Here the distance between the two coordinates (-6,0) and (0,-4) is given by

= \(\sqrt{{(-6-0)^2 + (0+4)^2}}\) =\(\sqrt{52}\)

Since the figure is a square all the distance between the each coordinates = \(\sqrt{52}\)

Let the co-ordinate of B = (x,y)

Now the distance between the coordinate (-6, 0) and (x, y) = \(\sqrt{52}\)

or \(\sqrt{{(x+6)^2 + (y-0)^2}}\) = \(\sqrt{52}\)

Now looking at the values only the above equation satisfy only when x= -2 and y= 6.

Hence the co-ordinate of B is (-2,6)
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Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 19 Dec 2017, 17:13
pranab01 wrote:
sandy wrote:
Image


In the figure above, ABCE is a square. What are the coordinates of point B?

(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)


Here the distance between the two coordinates (-6,0) and (0,-4) is given by

= \(\sqrt{{(-6-0)^2 + (0+4)^2}}\) =\(\sqrt{52}\)

Since the figure is a square all the distance between the each coordinates = \(\sqrt{52}\)

Let the co-ordinate of B = (x,y)

Now the distance between the coordinate (-6, 0) and (x, y) = \(\sqrt{52}\)

or \(\sqrt{{(x+6)^2 + (y-0)^2}}\) = \(\sqrt{52}\)

Now looking at the values only the above equation satisfy only when x= -2 and y= 6.

Hence the co-ordinate of B is (-2,6)



Well I can NOT see the pic though
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Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 20 Dec 2017, 00:36
images are not loading. i have opened in chome and explorer but didnt work out
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Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 20 Dec 2017, 20:02
Is the diagram visible? and also open up the "spoiler"
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Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 02 May 2018, 17:52
Let M be the center of square ABCD. Then, M is the midpoint of both AC and BD.
We can find coordinates of M as follows:
. M is midpoint of AC --> x(M) = (-6+4)/2; y(M) = (0+2)/2 or M(-1,1)
. M is midpoint of BD --> x(B) = (2xM - xD) = -2-0 = -2; y(B) = (2yM - yD) = 2-(-4) = 6
Finally, we get B(-2,6) --> C
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Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 02 Nov 2018, 10:43
Checking options is the best way out
Re: GRE Math Challenge#116-In the figure above, ABCE is a square   [#permalink] 02 Nov 2018, 10:43
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GRE Math Challenge#116-In the figure above, ABCE is a square

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