A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?

Question

(−2, −1) and (−5, −4)
(2, −1) and (4, 5)
(−2, 1) and (−5, 4)
(−1, −2) and (−4, −5)

Answer 1

To rotate a point 90° clockwise, we can use the following formula:

(x', y') = (y, -x)

By applying this formula to the endpoints of the line segment, we can find the new endpoints after rotating.

For the first endpoint, (2, -1):

(x', y') = (-1, -(-2)) = (-1, 2)

Thus, the first new endpoint is (-1, 2).

For the second endpoint, (5, -4):

(x', y') = (-4, -5)

Thus, the second new endpoint is (-4, -5).

Therefore, the new endpoints after rotating the segment 90° clockwise are (-1, 2) and (-4, -5).

None of the given answer options match these coordinates.

Answer 2

it has to be one

Answer 3

Apologies for the error in my previous response. To rotate a point 90° clockwise, we can use the following formula:

(x', y') = (y, -x)

By applying this formula to the endpoints of the line segment, we can find the new endpoints after rotating.

For the first endpoint, (2, -1):

(x', y') = (-1, -2)

Thus, the first new endpoint is (-1, -2).

For the second endpoint, (5, -4):

(x', y') = (-4, -5)

Thus, the second new endpoint is (-4, -5).

Therefore, the new endpoints after rotating the segment 90° clockwise are (-1, -2) and (-4, -5).

Among the given answer options, the correct one is (−1, −2) and (−4, −5).