Question

a segment has endpoints (x(-10,0)) and (y(-2,6)). consider its image after a (180^{circ}) (counterclockwise) rotation about the origin. select the coordinates of (y). (1 point)

(y(6, - 2))
(y(-2,-6))
(y(2,-6))
(y(-6,2))

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree counter - clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point Y

Given $Y(-2,6)$, when we apply the rule, $x=-2$ and $y = 6$. So $-x=-(-2)=2$ and $-y=-6$.

Answer:

$Y'(2,-6)$