A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?(1 point) Responses
(−2, −1) and (−5, −4)
(2, −1) and (4, 5)
(−2, 1) and (−5, 4)
(−1, −2) and (−4, −5)
The new endpoints after rotating the segment 90° clockwise can be found by interchanging the x and y coordinates of the original endpoints and changing the sign of the new y coordinates.
The original endpoints are (2,-1) and (5,-4).
By interchanging the x and y coordinates, (2,-1) becomes (-1,2) and (5,-4) becomes (-4,5).
By changing the sign of the new y coordinates, (-1,2) becomes (-1,-2) and (-4,5) becomes (-4,-5).
Therefore, the new endpoints after rotating the segment 90° clockwise are (-1,-2) and (-4,-5).
The correct response is:
(−1, −2) and (−4, −5)