Question

Given a point (−7, 4)
on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?

Answer 1

To rotate a point \((x, y)\) 90 degrees counterclockwise around the origin, you can use the following transformation:

\[
(x, y) \rightarrow (-y, x)
\]

Given the point \((-7, 4)\):

- Here, \(x = -7\) and \(y = 4\).
- Applying the transformation:

\[
(-7, 4) \rightarrow (-4, -7)
\]

So the new point after rotating \((-7, 4)\) 90 degrees counterclockwise is \((-4, -7)\).