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

Answer 1

To rotate a point 90 degrees counterclockwise, you can use the rotation matrix:

[0 -1]
[1 0]

Multiplying this matrix by the point (-7,4) gives:

[0 -1] [-7]
[1 0] * [ 4]

= [4 -7]
[4]

So, the new point after rotating the figure 90 degrees counterclockwise is (4, -7).