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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?

(–1, –3)
(3, –1)
(1, 3)
(–3, 1)

Respuesta :

Medunno13

Answer: (3, -1)

Step-by-step explanation:

Reflecting over y = -x maps [tex](x, y) \longrightarrow (-y, -x)[/tex].

So, [tex]F(1,-3) \longrightarrow F'(3, -1)[/tex]

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