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′(6,−2) upper Y prime left parenthesis 6 comma negative 2 right parenthesis Y′(−6,2) upper Y prime left parenthesis negative 6 comma 2 right parenthesis Y′(−2,−6)

Answer 1

To find the image of the point Y(−2, 6) after a 180° counterclockwise rotation about the origin, you can use the fact that a rotation of 180° changes the sign of both coordinates.

For the point Y(−2, 6):

• The new x-coordinate will be: \(-(-2) = 2\)
• The new y-coordinate will be: \(-6 = -6\)

So the coordinates of Y′ after the rotation will be Y′(2, -6).

The correct answer is Y′(2, −6)