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 clockwise by 90 degrees, we swap the coordinates and negating the new x-coordinate.
For the first endpoint (2,-1), swap the coordinates to get (-1,2). Negate the new x-coordinate to get (-2, 2).
For the second endpoint (5,-4), swap the coordinates to get (-4,5). Negate the new x-coordinate to get (-4, -5).
Therefore, the new endpoints after rotating the segment 90° clockwise are (-2, 2) and (-4, -5).