To rotate a point by 90^(∘) counterclockwise about the origin, we draw segments from it to the origin. Next, we use a protractor to draw a second segment that is at a 90^(∘) angle counterclockwise to the first segment. To find the coordinates of the rotated point, we have to make the second segment the same length as the first. Let's demonstrate with one of the points.
If we repeat the procedure for the remaining two points, we can draw the rotated triangle.
The vertices of the rotated triangle have the coordinates A'(- 2,3), B'(- 9,4), and C'(- 7,6). This corresponds to option A.
