Question

graph the image of rectangle tuvw after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation around the origin is $(x,y)\to(-y,x)$.

Step2: Find coordinates of T

Let's assume the coordinates of $T$ are $(-8,2)$. After rotation, $x=-8,y = 2$, and the new coordinates are $(-2,-8)$.

Step3: Find coordinates of U

If the coordinates of $U$ are $(-2,2)$, then for $x=-2,y = 2$, the new coordinates are $(-2,-2)$.

Step4: Find coordinates of V

Assume the coordinates of $V$ are $(-2,10)$. For $x=-2,y = 10$, the new coordinates are $(-10,-2)$.

Step5: Find coordinates of W

If the coordinates of $W$ are $(-8,10)$, then for $x=-8,y = 10$, the new coordinates are $(-10,-8)$.

Step6: Graph new rectangle

Plot the points $(-2,-8),(-2,-2),(-10,-2),(-10,-8)$ and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices $(-2,-8),(-2,-2),(-10,-2),(-10,-8)$