Question

graph the image of △stu after a rotation 270° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree counter - clockwise rotation around the origin is $(x,y)\to(y, - x)$.

Step2: Identify original coordinates

Assume $S=(0,2)$, $T=(0,5)$, $U=(8,7)$.

Step3: Apply rotation rule to $S$

For $S=(0,2)$, after rotation, $S'=(2,0)$.

Step4: Apply rotation rule to $T$

For $T=(0,5)$, after rotation, $T'=(5,0)$.

Step5: Apply rotation rule to $U$

For $U=(8,7)$, after rotation, $U'=(7, - 8)$.

Step6: Graph new triangle

Plot points $S'(2,0)$, $T'(5,0)$, $U'(7, - 8)$ and connect them to form the new $\triangle S'T'U'$.

Answer:

Graph the triangle with vertices $S'(2,0)$, $T'(5,0)$, $U'(7, - 8)$.