Question

Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point) ( , )

Answer 1

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

\[
(x', y') = (-y, x)
\]

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

1. \(x = -7\)
2. \(y = 4\)

Now applying the transformation:

\[
x' = -y = -4
\]
\[
y' = x = -7
\]

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

\[
(-4, -7)
\]

So the answer is \((-4, -7)\).