Question

A line segment has endpoints (2,−1)
(
2
,
−
1
)
and (5, −4)
(
5
,

−
4
)
. What are the new endpoints after rotating the segment 90°
90
°
clockwise?(1 point)
Responses

(−2, −1)
(
−
2
,

−
1
)
and (−5, −4)
(
−
5
,

−
4
)
left parenthesis negative 2 comma negative 1 right parenthesis and left parenthesis negative 5 comma negative 4 right parenthesis

(−2, 1)
(
−
2
,

1
)
and (−5, 4)
(
−
5
,

4
)
left parenthesis negative 2 comma 1 right parenthesis and left parenthesis negative 5 comma 4 right parenthesis

(−1, −2)
(
−
1
,

−
2
)
and (−4, −5)
(
−
4
,

−
5
)
left parenthesis negative 1 comma negative 2 right parenthesis and left parenthesis negative 4 comma negative 5 right parenthesis

(2, −1)
(
2
,

−
1
)
and (4, 5)

Answer 1

To rotate a point \((x, y)\) 90° clockwise around the origin, the new coordinates will be \((y, -x)\).

Let's find the new endpoints for the given points after rotating 90° clockwise:

1. **For the point (2, -1)**:
- New coordinates: \((-1, -2)\)

2. **For the point (5, -4)**:
- New coordinates: \((-4, -5)\)

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

Therefore, the correct answer is:

**(−1, −2) and (−4, −5)**.