Question

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

Answer 1

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

x' = x * cos(angle) - y * sin(angle)
y' = x * sin(angle) + y * cos(angle)

Here, the angle is 90 degrees (π/2 radians), and the given point is (-7, 4).

x' = -7 * cos(π/2) - 4 * sin(π/2)
= -7 * 0 - 4 * 1
= 0

y' = -7 * sin(π/2) + 4 * cos(π/2)
= -7 * 1 + 4 * 0
= -7

Therefore, the new point after rotating the figure 90 degrees counterclockwise is (0, -7).