Question

Graph the image of the given triangle, rotated 90° counterclockwise about the origin.

Answer 1

Given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).

We are given that image is rotated 90° counterclockwise about the origin.

In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.

In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

A(2,2) --> A'(-2,2).

B(7,1) --> B'(-1,7).

C(8,-4) --> C'(4,8).