A line segment has endpoints (2, -1) and (5, -4). What are the new endpoints after rotating the segment 90 degrees clockwise?

Answer 1

To rotate a point (x, y) 90 degrees clockwise, we can use the following formula:

(x', y') = (y, -x)

Let's apply this formula to the first endpoint (2, -1):

(2', -1') = (-1, -2)

Now, let's apply the formula to the second endpoint (5, -4):

(5', -4') = (-4, -5)

Therefore, the new endpoints after rotating the segment 90 degrees clockwise are (-1, -2) and (-4, -5).