Question

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)

Answer 1

To find the image of point Y after a 180° counterclockwise rotation about the origin, we can use the rotation formula for a point \((x, y)\):

\[
(x, y) \rightarrow (-x, -y)
\]

Given the coordinates of point Y are \((-2, 6)\), applying the rotation gives us:

\[
Y' = (-(-2), -(6)) = (2, -6)
\]

Thus, the coordinates of \(Y'\) after the rotation are \((2, -6)\).