A line segment has endpoints (2,−1) and (5, −4). What are the new endpoints after rotating the segment 90° clockwise?(1 point) Responses (−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 (−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)
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To rotate a point \((x, y)\) 90° clockwise around the origin, the formula to use is:
\[ (x, y) \rightarrow (y, -x) \]
Now, let's apply this to the endpoints of the line segment:
For the endpoint \((2, -1)\): \[ (2, -1) \rightarrow (-1, -2) \]
For the endpoint \((5, -4)\): \[ (5, -4) \rightarrow (-4, -5) \]
After rotating the line segment 90° clockwise, the new endpoints are \((-1, -2)\) and \((-4, -5)\).
Thus, the correct response is:
\[ \text{(-1, -2) and (-4, -5)} \]
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1 answer