Question
Given a point on a geometric figure (1, 2)
, what is the new point when the point is rotated clockwise about the origin 90 degrees
Given a point on a geometric figure (1, 2)
, what is the new point when the point is rotated clockwise about the origin 90 degrees
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To rotate a point \((x, y)\) clockwise by 90 degrees around the origin, you can use the following transformation:
\[
(x', y') = (y, -x)
\]
In this case, the point given is \((1, 2)\). Applying the transformation:
- \(x' = y = 2\)
- \(y' = -x = -1\)
Therefore, the new point after rotating \((1, 2)\) clockwise 90 degrees about the origin is:
\[
(2, -1)
\]
\[
(x', y') = (y, -x)
\]
In this case, the point given is \((1, 2)\). Applying the transformation:
- \(x' = y = 2\)
- \(y' = -x = -1\)
Therefore, the new point after rotating \((1, 2)\) clockwise 90 degrees about the origin is:
\[
(2, -1)
\]
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