Question

follow the guided instructions below to rotate the figure 90° counter - clockwise about the origin. draw a circle centered at the center of rotation, such that one of the vertices of the figure is on the circle.

Explanation:

Step1: Recall rotation rule

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

Step2: Identify 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 about the origin will be $(-y_1,x_1),(-y_2,x_2),(-y_3,x_3)$.

Step4: Plot new figure

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

Answer:

After applying the 90 - degree counter - clockwise rotation rule about the origin to each vertex of the original figure and plotting the new vertices, the rotated figure can be obtained. (Since no specific vertex coordinates are given, the general method of rotation is provided).