Question

graph the image of △cde 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: Assume coordinates of vertices

Let the coordinates of the vertices of $\triangle CDE$ be $C(x_1,y_1)$, $D(x_2,y_2)$, $E(x_3,y_3)$. After rotation, the new coordinates will be $C'(-y_1,x_1)$, $D'(-y_2,x_2)$, $E'(-y_3,x_3)$.

Step3: Plot new points

On the given coordinate grid, plot the points $C'$, $D'$, $E'$ and connect them to form the rotated triangle.

Answer:

Graph the new triangle formed by the rotated vertices on the coordinate - grid. (Note: Since the actual coordinates of $C$, $D$, $E$ are not given numerically, a full numerical answer cannot be provided. The process is to use the $(x,y)\to(-y,x)$ rule to find the new vertices and then graph them.)