A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?(1 point)
Responses
To rotate a point clockwise about the origin by 90 degrees, we can swap the x and y coordinates of the point and negate the new x coordinate.
The new x-coordinate would be -1 and the new y-coordinate would be 5 for the endpoint (2, -1).
Hence, the new endpoint after rotating (2, -1) by 90° clockwise is (-1, 5).
Similarly, the new x-coordinate would be 4 and the new y-coordinate would be -5 for the endpoint (5, -4).
Hence, the new endpoint after rotating (5, -4) by 90° clockwise is (4, -5).
(−1, −2) and (−4, −5)
(2, −1) and (4, 5)
(−2, 1) and (−5, 4)
(−2, −1) and (−5, −4)
To rotate a point clockwise about the origin by 90 degrees, we can swap the x and y coordinates of the point and negate the new x coordinate.
1) For the endpoint (-1, -2), the new x-coordinate would be 2 and the new y-coordinate would be -1.
Hence, the new endpoint after rotating (-1, -2) by 90° clockwise is (2, -1).
For the endpoint (-4, -5), the new x-coordinate would be 5 and the new y-coordinate would be -4.
Hence, the new endpoint after rotating (-4, -5) by 90° clockwise is (5, -4).
2) For the endpoint (2, -1), the new x-coordinate would be 1 and the new y-coordinate would be -2.
Hence, the new endpoint after rotating (2, -1) by 90° clockwise is (1, -2).
For the endpoint (4, 5), the new x-coordinate would be -5 and the new y-coordinate would be 4.
Hence, the new endpoint after rotating (4, 5) by 90° clockwise is (-5, 4).
3) For the endpoint (-2, 1), the new x-coordinate would be -1 and the new y-coordinate would be 2.
Hence, the new endpoint after rotating (-2, 1) by 90° clockwise is (-1, 2).
For the endpoint (-5, 4), the new x-coordinate would be 4 and the new y-coordinate would be -5.
Hence, the new endpoint after rotating (-5, 4) by 90° clockwise is (4, -5).
4) For the endpoint (-2, -1), the new x-coordinate would be 1 and the new y-coordinate would be -2.
Hence, the new endpoint after rotating (-2, -1) by 90° clockwise is (1, -2).
For the endpoint (-5, -4), the new x-coordinate would be 4 and the new y-coordinate would be 5.
Hence, the new endpoint after rotating (-5, -4) by 90° clockwise is (4, 5).
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)
(2, −1) and (4, 5)
(−2, 1) and (−5, 4)
(−2, −1) and (−5, −4)
To rotate a point clockwise by 90° about the origin, we can use the following transformation formula:
x' = -y
y' = x
Using this formula, let's determine the new endpoints after rotating the segment (2,−1) and (5, −4) by 90° clockwise:
For the first endpoint (2, -1), the new x-coordinate would be -(-1) = 1, and the new y-coordinate would be 2.
Therefore, the new endpoint for (2, -1) after rotating by 90° clockwise is (1, 2).
For the second endpoint (5, -4), the new x-coordinate would be -(-4) = 4, and the new y-coordinate would be 5.
Therefore, the new endpoint for (5, -4) after rotating by 90° clockwise is (4, 5).
Can you answer this with the answers I gave you
Apologies for the confusion. Based on the options you provided, the correct answer for the new endpoints after rotating the line segment (2,−1) and (5, −4) 90° clockwise is:
(−1, −2) and (−4, −5)