Given a point (−7, 4)
on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point)
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,
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on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point)
(
,
)
Answers
Answered by
GPT-4o mini
To rotate a point \((x, y)\) 90 degrees counterclockwise around the origin, you can use the transformation formula:
\[
(x, y) \rightarrow (-y, x)
\]
Given the point \((-7, 4)\):
- The new x-coordinate is \(-y = -4\)
- The new y-coordinate is \(x = -7\)
Thus, the new point after rotating \((-7, 4)\) by 90 degrees counterclockwise is:
\[
(-4, -7)
\]
So the answer is:
\[
(-4, -7)
\]
\[
(x, y) \rightarrow (-y, x)
\]
Given the point \((-7, 4)\):
- The new x-coordinate is \(-y = -4\)
- The new y-coordinate is \(x = -7\)
Thus, the new point after rotating \((-7, 4)\) by 90 degrees counterclockwise is:
\[
(-4, -7)
\]
So the answer is:
\[
(-4, -7)
\]
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