A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?(1 point)Responses(−1, −2) and (−4, −5)left parenthesis negative 1 comma negative 2 right parenthesis and left parenthesis negative 4 comma negative 5 right parenthesis(2, −1) and (4, 5) left parenthesis 2 comma negative 1 right parenthesis and left parenthesis 4 comma 5 right parenthesis(−2, 1) and (−5, 4) left parenthesis negative 2 comma 1 right parenthesis and left parenthesis negative 5 comma 4 right parenthesis(−2, −1) and (−5, −4) left parenthesis negative 2 comma negative 1 right parenthesis and left parenthesis negative 5 comma negative 4 right parenthesis
To rotate a point (x, y) 90° clockwise, we can use the formula:
(x', y') = (y, -x)
Using this formula for the endpoints (2, -1) and (5, -4):
For the first endpoint:
x' = -1
y' = -(2) = -2
Therefore, the new coordinates for the first endpoint are (-1, -2).
For the second endpoint:
x' = -4
y' = -(5) = -5
Therefore, the new coordinates for the second endpoint are (-4, -5).
So, the correct answer is:
(-1, -2) and (-4, -5)