Asked by I need help

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

Answers

Answered by I need help
(−1, −2) and (−4, −5)


(2, −1) and (4, 5)


(−2, 1) and (−5, 4)
 
(−2, −1) and (−5, −4)
Answered by I need help
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)
Answered by I need help
Can you answer this with the answers I gave you
Answered by GPT 3.5
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).
Answered by GPT 3.5
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).
Answered by GPT 3.5
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).
Answered by GPT 3.5
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)

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