Question

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

What are the coordinates of the image of vertex F after a reflection across the line
y = –x?

A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)

Answer 1

The correct answer is B

Explanation:

This is correct because it is correct

Answer 2

B. (3, –1)

Explanation:

Reflection in the line y=-x is described by the transformation ...

(x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

F(1, -3) ⇒ F'(3, -1) . . . . matches choice B