Diamond is reflecting a point Q (-2, 5) across the lines y = x, y = -x, y = 0 and x = 0. Let Q' be the image of Q after each reflection. Which statements are true? Select all that apply.

Question

Diamond is reflecting a point Q (-2, 5) across the lines y = x, y = -x, y = 0 and x = 0.

Let Q' be the image of Q after each reflection.

Which statements are true? Select all that apply.

For y = 0, the image of point Q will be Q' (-2, -5)

For y = -x, the image of point Q will be Q' (2, 5)

For y = x, the image of point Q will be Q' (5, -2)

For y = x, the image of point Q will be Q' (5, 2)

For x = 0, the image of point Q will be Q' (2, 5)

Answer 1

For y = x, (x,y) --> (y,x) (-2,5) --> (5,-2)

For y = -x (x,y) --> (-y,-x) (-2,5) --> (-5,2)

For y = 0 (x,y) ---> (x,-y) (-2,5) --> (-2,-5)

For x = 0 (x,y) ----> (-x,y) (-2,5) --> (2,5)