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′.

Answer 1

To rotate a point (x, y) about the origin by 180° counterclockwise, we can use the following formulas:

x' = -x
y' = -y

Using these formulas, we can find the coordinates of Y' as follows:

For point Y(-2, 6):
x' = -(-2) = 2
y' = -(6) = -6

Therefore, the coordinates of Y' are (2, -6).