Question

draw the following triangle after a 90° counterclockwise rotation about the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Identify triangle vertices

Suppose the vertices of the original triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$.

Step3: Apply rotation rule

The new vertices after 90 - degree counter - clockwise rotation will be $(-y_1,x_1)$, $(-y_2,x_2)$, $(-y_3,x_3)$.

Step4: Plot new triangle

Plot the new vertices on the coordinate plane and connect them to form the rotated triangle.

Since we don't have the actual coordinates of the triangle vertices given in the image text, we can't provide the exact numerical new - vertex coordinates. But the general process to draw the rotated triangle is as described above.

Answer:

Follow the steps above to draw the rotated triangle on the given coordinate plane.