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