Question

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5).
What are the coordinates of the image of vertex G after a reflection across the line y = x?

(–4, –5)
(4, 5)
(–5, 4)
(5, –4)

Answer 1

Reflection across the line y = x swaps coordinates: (x, y) → (y, x).
So G(4, −5) → (−5, 4).

Answer: (−5, 4).