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

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In the rectangular coordinate system, the line y = -x is the [#permalink] New post 27 Dec 2009, 10:07
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64% (02:46) correct 36% (01:22) wrong based on 109 sessions
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)
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Re: Coordinate System - Perpendicular Bisector [#permalink] New post 27 Dec 2009, 12:55
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prasadrg 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).
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Problem solving - 600 level question [#permalink] New post 27 May 2010, 19:05
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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Re: In the rectangular coordinate system, the line y = -x is the [#permalink] New post 28 Dec 2013, 07:58
prasadrg 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)


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 :)
Re: In the rectangular coordinate system, the line y = -x is the   [#permalink] 28 Dec 2013, 07:58
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