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