A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?
a. (−2, 1) and (−5, 4)
b. (−1, −2) and (−4, −5)
c. (2, −1) and (4, 5)
d. (−2, −1) and (−5, −4)
To rotate a point 90° clockwise, we can use the formula (-y, x).
For the first endpoint (2, -1), we have (-(-1), 2) = (1, 2).
For the second endpoint (5, -4), we have (-(-4), 5) = (4, 5).
So the new endpoints after rotating the segment 90° clockwise are (1, 2) and (4, 5).
Therefore, the correct answer is c. (2, −1) and (4, 5).