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Manager  Joined: 21 Jul 2003
Posts: 57
In the rectangular coordinate system, the line y = -x is the  [#permalink]

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3
8 00:00

Difficulty:   55% (hard)

Question Stats: 66% (02:26) correct 34% (02:39) wrong based on 310 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)
Math Expert V
Joined: 02 Sep 2009
Posts: 59000
Re: Coordinate System - Perpendicular Bisector  [#permalink]

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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).
_________________
Intern  Joined: 27 Sep 2009
Posts: 39
Problem solving - 600 level question  [#permalink]

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1
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
Attachments co-ord.JPG [ 8.46 KiB | Viewed 6792 times ]

SVP  Joined: 06 Sep 2013
Posts: 1553
Concentration: Finance
Re: In the rectangular coordinate system, the line y = -x is the  [#permalink]

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2
1
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 Manager  B
Joined: 29 Dec 2014
Posts: 63
Re: In the rectangular coordinate system, the line y = -x is the  [#permalink]

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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 V
Joined: 02 Sep 2009
Posts: 59000
Re: In the rectangular coordinate system, the line y = -x is the  [#permalink]

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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.

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Hope it helps.
_________________
Manager  B
Joined: 29 Dec 2014
Posts: 63
Re: In the rectangular coordinate system, the line y = -x is the  [#permalink]

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Many thanks for such a prompt response!
Non-Human User Joined: 09 Sep 2013
Posts: 13581
Re: In the rectangular coordinate system, the line y = -x is the  [#permalink]

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_________________ Re: In the rectangular coordinate system, the line y = -x is the   [#permalink] 12 Mar 2019, 08:30
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