Question

Triangle UVW has vertices at U(−1, 0), V(−4, 1), W(−4, 4). Determine the vertices of image U′V′W′, if the preimage is rotated 180° counterclockwise.

U′(0, −1), V′(−1, −4), W′(−4, −4)
U′(0, −1), V′(1, −4), W′(4, −4)
U′(1, 0), V′(4, −1), W′(4, −4)
U′(−1, 0), V′(−4, 0), W′(4, −4)

Answer 1

Answer: U' (1, 0), V' (4, -1), W' (4, -4) aka answer C

Explanation:
if you rotate 180 degrees in general, the rule is to swap the signs for both the x and y coordinate. it doesn't matter if it's counter or clockwise in contrast to 270 and 90 degrees.

also, you can't change the sign of 0. zero is just 0.

so, the new vertices of the new image would be
U' (1, 0), V' (4, -1), W' (4, -4)