Question

graph the image of square stuv after a rotation 270° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Find coordinates of S

The coordinates of S are $(0,3)$. After rotation, using the rule $(x,y)\to(y, - x)$, we get $(3,0)$.

Step3: Find coordinates of T

The coordinates of T are $(7,3)$. After rotation, $(x,y)\to(y, - x)$ gives $(3,-7)$.

Step4: Find coordinates of U

The coordinates of U are $(7,10)$. After rotation, $(x,y)\to(y, - x)$ gives $(10,-7)$.

Step5: Find coordinates of V

The coordinates of V are $(0,10)$. After rotation, $(x,y)\to(y, - x)$ gives $(10,0)$.

Step6: Graph the new points

Plot the points $(3,0)$, $(3,-7)$, $(10,-7)$, $(10,0)$ and connect them to form the rotated square.

Answer:

Graph the points $(3,0)$, $(3,-7)$, $(10,-7)$, $(10,0)$ and connect them to get the image of square STUV after 270 - degree counter - clockwise rotation around the origin.