A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?
To rotate a point 90° clockwise, we can use the following formula:
(x', y') = (y, -x)
Applying this formula to both endpoints, we get:
For the first endpoint (2, -1):
x' = -1
y' = -(2) = -2
So, the new endpoint after rotating is (-1, -2).
For the second endpoint (5, -4):
x' = -4
y' = -(5) = -5
So, the new endpoint after rotating is (-4, -5).