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

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point Y

Given $Y(-2,6)$, when we apply the rule, $x=-2$ and $y = 6$. Then $-x=-(-2)=2$ and $-y=-6$. So the new coordinates of $Y'$ are $(2,-6)$.

Answer:

$Y'(2,-6)$