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 formulas:

x_new = y
y_new = -x

Let's apply these formulas to both endpoints of the line segment.

For the first endpoint (2, -1):

x_new = -1
y_new = -2

So the new endpoint after rotating 90 degrees clockwise is (-1, -2).

For the second endpoint (5, -4):

x_new = -4
y_new = -5

So the new endpoint after rotating 90 degrees clockwise is (-4, -5).

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