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 about the origin, you can use the transformation:

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

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

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

Applying the transformation:

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

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