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# In the rectangular coordinate system, the line y = -x is the

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Manager
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In the rectangular coordinate system, the line y = -x is the [#permalink]

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27 Dec 2009, 11:07
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Difficulty:

65% (hard)

Question Stats:

61% (02:51) correct 39% (02:00) wrong based on 367 sessions

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In the rectangular coordinate system, the line y = -x is the perpendicular bisector of segment RS and the y-axis is the perpendicular bisector of segment ST. If the coordinates of point R are (-3, 1), what are the coordinates of point T ?

A. (-1,3)
B. (-1,-3)
C. (3,-1)
D. (1,3)
E. (3,1)
[Reveal] Spoiler: OA
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Kudos [?]: 106032 [0], given: 11602

Re: Coordinate System - Perpendicular Bisector [#permalink]

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27 Dec 2009, 13:55
Expert's post
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In the rectangular coordinate system, the line y = -x is the perpendicular bisector of segment RS and the y-axis is the perpendicular bisector of segment ST. If the coordinates of point R are (-3, 1), what are the coordinates of point T ?

A. (-1,3)
B.(-1,-3)
C. (3,-1)
D. (1,3)
E. (3,1)

There are several ways to solve this one, but the easiest one would be just to draw the diagram. y=-x is the diagonal line through the origin with the negative slope. The coordinates of S would be (-1, 3) and the coordinates of T (1, 3).
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Problem solving - 600 level question [#permalink]

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27 May 2010, 20:05
In the rectangular coordinate system to the left, the line y = -x is the perpendicular bisector of segment RS and the y-axis is the perpendicular bisector of segment ST . If the coordinates of point R are (-3, 1), what are the coordinates of point T ?

A)1,3

B)2,2

C)3,3

D)3,3

E)1,1
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Current Student
Joined: 06 Sep 2013
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Concentration: Finance
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Re: In the rectangular coordinate system, the line y = -x is the [#permalink]

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28 Dec 2013, 08:58
2
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In the rectangular coordinate system, the line y = -x is the perpendicular bisector of segment RS and the y-axis is the perpendicular bisector of segment ST. If the coordinates of point R are (-3, 1), what are the coordinates of point T ?

A. (-1,3)
B. (-1,-3)
C. (3,-1)
D. (1,3)
E. (3,1)

Just my 2c here
For the mirror of x= -y
Just grab the R (-3,1) and do exactly what equation tells you to do
That is

x = -y. So -3 is now 'y' coordinate 3. Likewise, 1 = -1 for 'x' coordinate
So we end up with (-1,3)

y axis should be straightforward

Always keep into consideration signs for each quadrant for sanity check

I. ++
II. -+
III. +-
IV. -+

Hope it helps
Cheers!

J
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Re: In the rectangular coordinate system, the line y = -x is the [#permalink]

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02 Apr 2015, 23:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the rectangular coordinate system, the line y = -x is the [#permalink]

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13 May 2016, 00:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: In the rectangular coordinate system, the line y = -x is the [#permalink]

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17 Oct 2016, 21:07
Bunuel wrote:
In the rectangular coordinate system, the line y = -x is the perpendicular bisector of segment RS and the y-axis is the perpendicular bisector of segment ST. If the coordinates of point R are (-3, 1), what are the coordinates of point T ?

A. (-1,3)
B.(-1,-3)
C. (3,-1)
D. (1,3)
E. (3,1)

There are several ways to solve this one, but the easiest one would be just to draw the diagram. y=-x is the diagonal line through the origin with the negative slope. The coordinates of S would be (-1, 3) and the coordinates of T (1, 3).

Please would you mind further elaborating why coordinates of S would be (-1, 3) - I am a little retard with coord geo.

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 38856
Followers: 7726

Kudos [?]: 106032 [0], given: 11602

Re: In the rectangular coordinate system, the line y = -x is the [#permalink]

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18 Oct 2016, 01:53
WilDThiNg wrote:
Bunuel wrote:
In the rectangular coordinate system, the line y = -x is the perpendicular bisector of segment RS and the y-axis is the perpendicular bisector of segment ST. If the coordinates of point R are (-3, 1), what are the coordinates of point T ?

A. (-1,3)
B.(-1,-3)
C. (3,-1)
D. (1,3)
E. (3,1)

There are several ways to solve this one, but the easiest one would be just to draw the diagram. y=-x is the diagonal line through the origin with the negative slope. The coordinates of S would be (-1, 3) and the coordinates of T (1, 3).

Please would you mind further elaborating why coordinates of S would be (-1, 3) - I am a little retard with coord geo.

Thanks

We get these points by drawing the diagram with line y = -x and point (-3, 1). By looking at it, you'd be able to eliminate the wrong answers and getting the right one.

Similar questions to practice:
in-the-xy-coordinate-plane-is-point-r-equidistant-from-143502.html
in-the-rectangular-coordinate-system-the-line-y-x-is-the-132646.html
the-coordinates-of-points-a-and-c-are-0-3-and-127769.html
the-line-represented-by-the-equation-y-4-2x-is-the-127770.html
if-point-a-coordinates-are-7-3-point-b-coordinates-a-141972.html
in-the-rectangular-coordinate-system-the-line-y-x-is-the-88473.html
in-the-rectangular-coordinate-system-above-the-line-y-x-144774.html
the-line-represented-by-the-equation-y-4-2x-is-the-perpendi-87573.html
in-the-rectangular-coordinate-system-above-the-line-y-x-129932.html

Hope it helps.
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Re: In the rectangular coordinate system, the line y = -x is the [#permalink]

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18 Oct 2016, 02:06
Many thanks for such a prompt response!
Re: In the rectangular coordinate system, the line y = -x is the   [#permalink] 18 Oct 2016, 02:06
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