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

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27 Dec 2009, 10:07

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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 ?

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

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28 Dec 2013, 07:58

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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)

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

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).
_________________

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 ?

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

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02 Apr 2015, 22:45

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

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12 May 2016, 23:11

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

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17 Oct 2016, 20:07

Bunuel wrote:

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).

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

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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