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(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 point $Y(-2,6)$, 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:

B. $Y'(2,-6)$