Question

graph the image of △tuv 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: Identify original coordinates

Let's assume the coordinates of the vertices of $\triangle TUV$ are $T(x_1,y_1)$, $U(x_2,y_2)$ and $V(x_3,y_3)$.

Step3: Apply rotation rule

The new coordinates of $T$ will be $T'(-y_1,x_1)$, of $U$ will be $U'(-y_2,x_2)$ and of $V$ will be $V'(-y_3,x_3)$.

Step4: Plot new points

Plot the points $T'$, $U'$ and $V'$ on the coordinate - plane and connect them to form the rotated triangle.

Answer:

Plot the new triangle with vertices obtained by applying the 90 - degree counter - clockwise rotation rule $(x,y)\to(-y,x)$ to the original vertices of $\triangle TUV$.