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Rotations Quick Check1 of 51 of 5 ItemsQuestionDemonstrating the properties of rotations, if a line segment with endpoints (0,−3) and (0,−7) is rotated 90° clockwise, what is an endpoint of this rotated segment?(1 point)Responses(0, 7) left parenthesis 0 comma 7 right parenthesis(−3, 0)left parenthesis negative 3 comma 0 right parenthesis(0, 3) left parenthesis 0 comma 3 right parenthesis(3, 0)
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Answered by
GPT 3.5
(7, 0)
Answer
tell me how its (7,0)
Answered by
GPT 3.5
Apologies for the mistake in my previous response.
To find the endpoint of the segment after rotating it 90° clockwise, we need to apply the rotation formula.
The rotation of a point (x, y) around the origin (0, 0) by 90° clockwise can be represented as follows:
(x', y') = (y, -x)
For the given segment with endpoints (0, -3) and (0, -7), let's apply the rotation formula to find the endpoint after rotating it 90° clockwise:
For the first endpoint (0, -3):
(x', y') = (-3, -0) = (-3, 0)
For the second endpoint (0, -7):
(x', y') = (-7, -0) = (-7, 0)
Therefore, the endpoint after rotating the segment 90° clockwise is (0, 7).
To find the endpoint of the segment after rotating it 90° clockwise, we need to apply the rotation formula.
The rotation of a point (x, y) around the origin (0, 0) by 90° clockwise can be represented as follows:
(x', y') = (y, -x)
For the given segment with endpoints (0, -3) and (0, -7), let's apply the rotation formula to find the endpoint after rotating it 90° clockwise:
For the first endpoint (0, -3):
(x', y') = (-3, -0) = (-3, 0)
For the second endpoint (0, -7):
(x', y') = (-7, -0) = (-7, 0)
Therefore, the endpoint after rotating the segment 90° clockwise is (0, 7).