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 degrees clockwise, you can use the following transformations:
For a point (x, y):
New x' = y
New y' = -x
Using these transformations:
For the first endpoint (2, -1):
New x' = -1
New y' = -2
Therefore, the new endpoint after rotating the segment 90 degrees clockwise is (-1, -2).
For the second endpoint (5, -4):
New x' = -4
New y' = -5
Therefore, the new endpoint after rotating the segment 90 degrees clockwise is (-4, -5).