Give an appointment on like segment -4, -6, what is the new point when the point is rotated clockwise about the 90°? One point

Answer 1

When a point on the line segment is rotated clockwise 90°, the new point can be determined as follows:

Let's consider the line segment with the coordinates (-4, 0) and (-6, 0).

To rotate the point (-4, 0) clockwise 90°, we can use the rotation formula:

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

In this case, we want to rotate the point 90 degrees clockwise, which means θ = -90°.

Using the rotation formula:

x' = -4 * cos(-90°) - 0 * sin(-90°)
= -4 * 0 - 0 * (-1)
= 0

y' = -4 * sin(-90°) + 0 * cos(-90°)
= -4 * (-1) + 0 * 0
= 4

Therefore, when the point (-4, 0) is rotated clockwise about 90°, the new point is (0, 4).