Question

graph each figure and its image after the given rotation. 1. △stu has vertices s(2, -1), t(5, 1) and u(3, 3); 90° about the origin

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 90° counter - clockwise about the origin, the new coordinates $(x',y')$ are given by $(-y,x)$.

Step2: Find coordinates of $S'$

For point $S(2,-1)$, using the rule $x = 2,y=-1$, then $x'=-(-1)=1$ and $y' = 2$. So $S'(1,2)$.

Step3: Find coordinates of $T'$

For point $T(5,1)$, with $x = 5,y = 1$, then $x'=-1$ and $y'=5$. So $T'(-1,5)$.

Step4: Find coordinates of $U'$

For point $U(3,3)$, when $x = 3,y = 3$, then $x'=-3$ and $y'=3$. So $U'(-3,3)$.

Answer:

$S'(1,2)$
$T'(-1,5)$
$U'(-3,3)$