8. P -> P' (2, 6) for the glide reflection where the translation is (x,y) -> (x + 2, y - 2) and the line of reflection is y = - x. Find the coordinates of P.

Question

A. (11, -3)
B. (4, 0)
C. (-11, 3)
D. (-4, 0)

I think it is B. But I'm not sure, could I get some help.

Answer 1

If P = (x,y), then we have the two transformations

(x,y) -> (x+2,y-2) -> (2-y,-(x+2))
so,
2-y = 2; y=0
-(x+2) = 6; x = -8
Hmmm. no luck.

If we reflect first, then we have

(x,y) -> (-y,-x) -> (-y+2,-x-2)
so,
-y+2 = 2; y=0
-x-2 = 6; x = -4

Looks like D to me.

You have to specify the order of operation.

Answer 2

Nope, it is B 100%

Answer 3

yea B is correct, got it wrong with D