A segment has endpoints X(−10,0) and Y(−2,6). Consider its image after a 180° (counterclockwise) rotation about the origin. Select the coordinates of Y′.(1 point)
Responses
Y′(2,−6)
upper Y prime left parenthesis 2 comma negative 6 right parenthesis
Y′(−2,−6)
upper Y prime left parenthesis negative 2 comma negative 6 right parenthesis
Y′(6,−2)
upper Y prime left parenthesis 6 comma negative 2 right parenthesis
Y′(−6,2)
Y′(2,−6)
Y prime left parenthesis 2 comma negative 6 right parenthesis
To find the coordinates of Y' after a 180° counterclockwise rotation about the origin, we switch the signs of the x and y coordinates of point Y.
The coordinates of point Y are (−2, 6), so after the rotation, the coordinates of Y' would be (2, −6).
Therefore, the correct answer is Y′(2,−6).