Give an a point (-7, 4) on a geometric figure, what is the new point after rotating the figure 90° counterclockwise?

Answer 1

To find the new point after rotating the figure 90° counterclockwise, we can use the rotation matrix formula:

[x', y'] = [cos(90°) -sin(90°), sin(90°), cos(90°)] [x, y]

Plugging in the values of the point (-7, 4):

[x', y'] = [0 -1, 1, 0] [-7, 4]
[x', y'] = [-4, -7]

Therefore, the new point after rotating the point (-7, 4) 90° counterclockwise is (-4, -7).