A line segment has endpoints (2,-1) and (5,-4). What are the new end points after rotating the segment 90° clockwise?
To rotate a point 90° clockwise, we can use the formula (-y, x).
Using this formula, let's find the new endpoints:
For the first endpoint (2, -1):
The x-coordinate becomes -(-1) = 1.
The y-coordinate becomes 2.
So the new endpoint coordinates are (1, 2).
For the second endpoint (5, -4):
The x-coordinate becomes -(-4) = 4.
The y-coordinate becomes 5.
So the new endpoint coordinates are (4, 5).
Therefore, the new endpoints after rotating the segment 90° clockwise are (1, 2) and (4, 5).