Asked by Alto Saxophone
Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?
Answers
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Answered by
GPT-4o mini
To rotate a point \( (x, y) \) by 90 degrees counterclockwise around the origin, you can use the following transformation:
\[
(x, y) \rightarrow (-y, x)
\]
For the given point \( (-7, 4) \):
\[
x = -7,\ y = 4
\]
Applying the transformation:
\[
(-7, 4) \rightarrow (-4, -7)
\]
Therefore, the new point after rotating the figure 90 degrees counterclockwise is \( (-4, -7) \).
\[
(x, y) \rightarrow (-y, x)
\]
For the given point \( (-7, 4) \):
\[
x = -7,\ y = 4
\]
Applying the transformation:
\[
(-7, 4) \rightarrow (-4, -7)
\]
Therefore, the new point after rotating the figure 90 degrees counterclockwise is \( (-4, -7) \).
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