Question

try one last time. draw the following triangle after a 90° counterclockwise rotation about the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Identify vertices of the triangle

Let's assume the vertices of the original triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$. After applying the rotation rule, the new vertices will be $(-y_1,x_1)$, $(-y_2,x_2)$, $(-y_3,x_3)$.

Step3: 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 vertices of the given triangle in text form, we can't give the exact numerical answer. But the general procedure for rotating a triangle 90 degrees counter - clockwise about the origin is as described above.

Answer:

Follow the steps above to draw the rotated triangle. Plot the new vertices obtained by applying the rule $(x,y)\to(-y,x)$ to each vertex of the original triangle and then connect the new vertices.