Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie?

(−1, 4)
(1, −4)
(4, −1)
(−4, 1)

(−1, 4)

when B(-1;4) is reflected over the x‐axis => B1'(-1;-4)

then B1'(-1;-4) is reflected over the y‐axis => B2'(1; -4)

then B2'(1; -4 ) rotated 180 degrees => x' = -x = -1

                                                                y' = -y = 4

=> B'(-1;4)

Step-by-step explanation: