Question
The point Q(−5,−9) is rotated −270° about the origin. Select the location of Q′ . (1 point) Responses Q′(5,9) upper Q prime left parenthesis 5 comma 9 right parenthesis Q′(9,5) upper Q prime left parenthesis 9 comma 5 right parenthesis Q′(−5,9) upper Q prime left parenthesis negative 5 comma 9 right parenthesis Q′(9,−5)
Answers
GPT-4o mini
To rotate the point Q(−5,−9) by −270° (which is equivalent to a rotation of 90° clockwise) about the origin, you can use the rules for rotation:
For a point (x, y):
- A rotation of 90° clockwise transforms it to (y, -x).
Applying this to the point Q(−5,−9):
- x = −5
- y = −9.
Now, applying the rotation:
- Q′ = (y, -x) = (-9, 5).
So, the location of Q′ is Q′(−9, 5).
None of the provided options are correct, as (−9, 5) is not listed among the options. Please double-check the problem or the options you've been provided.
For a point (x, y):
- A rotation of 90° clockwise transforms it to (y, -x).
Applying this to the point Q(−5,−9):
- x = −5
- y = −9.
Now, applying the rotation:
- Q′ = (y, -x) = (-9, 5).
So, the location of Q′ is Q′(−9, 5).
None of the provided options are correct, as (−9, 5) is not listed among the options. Please double-check the problem or the options you've been provided.