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 is $(x,y)\to(-y,x)$.

Step2: Identify vertices of original triangle

Let's assume the vertices of the original triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$. For example, if one vertex is $(3,1)$, after rotation, it becomes $(-1,3)$ using the rule $(x,y)\to(-y,x)$. Do this for all vertices of the given triangle.

Step3: Plot new vertices

Plot the new vertices obtained from the rotation on the coordinate - plane and connect them to form the rotated triangle.

Since we don't have the exact coordinates of the vertices of the original triangle given in text form, we can't give the exact new coordinates. But the general process to draw the rotated triangle is as described above.

Answer:

Follow the steps above to draw the 90 - degree counter - clockwise rotated triangle about the origin.