The point (4, -2) is reflected over the line y=x. What are the coordinates of the image?

[Nessa O'brien]

1. Quadrilateral PQRS is dilated with a scale factor of 0.5.
The vertex points of the preimage are P(2, 5), Q(5, 4), R(4, 1) and S(0, 0). What are the vertex points of the image?
a. P’(5, 2), Q’(4, 5), R’(1, 4), S’(0, 0)
b. P’(1, 2.5), Q’(2.5, 2), R’(2, 0.5), S’(0, 0)
c. P’(4, 10), Q’(10, 8), R’(8, 2), S’(0, 0)
d. P’(2, 2.5), Q’(5, 2), R’(2, 1), S’(0, 0)

2. The point (4, -2) is reflected over the line y = x. What are the coordinates of the image?
a. (-2, -4)
b. (-2, 4)
c. (-4, -2)
d. (-4, 2)

3. The point (-4, 6) is reflected over the x-axis. What are the coordinates of the image?
a. (-6, 4)
b. (4, -6)
c. (4, 6)
d. (-4, -6)

4. The vertices of triangle KLM are K (3, 3), L (5, 4), and M (0, 6). Find the coordinates of K’ after the translation (x, y)--> (x + 4, y - 1).
a. K’ (-7, 4)
b. K’ (7, 2)
c. K’ (4, -1)
d. K’ (6, 4)