Asked by loaf
Given point A(2, 6)
𝐴
(
2
,
6
)
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise?
𝐴
(
2
,
6
)
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To rotate a point \( A(x, y) \) 90 degrees clockwise around the origin, you can use the following transformation:
\[
(x', y') = (y, -x)
\]
In this case, the original point is \( A(2, 6) \). Applying the transformation:
- \( x' = y = 6 \)
- \( y' = -x = -2 \)
Thus, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be at the new coordinates:
\[
A'(6, -2)
\]
So the new point after the rotation is \( A'(6, -2) \).
\[
(x', y') = (y, -x)
\]
In this case, the original point is \( A(2, 6) \). Applying the transformation:
- \( x' = y = 6 \)
- \( y' = -x = -2 \)
Thus, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be at the new coordinates:
\[
A'(6, -2)
\]
So the new point after the rotation is \( A'(6, -2) \).
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