Question

a fish was plotted on a coordinate plane. identify the coordinates of the image of y that would create a -270 - degree rotation about the origin. (1 point) y(-1, 9) y(1, 9) y(-9, 1) y(1, - 9)

Explanation:

Step1: Recall rotation rule

A - 270 - degree rotation about the origin is equivalent to a 90 - degree clockwise rotation. The rule for a 90 - degree clockwise rotation of a point $(x,y)$ about the origin is $(x,y)\to(y, - x)$.

Step2: Assume original coordinates

Let the original coordinates of point $Y$ be $(x,y)$. After a - 270 - degree (or 90 - degree clockwise) rotation, the new coordinates $Y'$ will be $(y,-x)$. Without knowing the original coordinates of $Y$, we can use the general rule. If we assume the original coordinates of $Y$ are $(-9,1)$, then applying the rule: $x=-9$ and $y = 1$. The new coordinates $Y'$ will be $(1,9)$.

Answer:

$Y'(1,9)$