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:

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

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

1. Identify \(x\) and \(y\):
- \(x = -7\)
- \(y = 4\)

2. Apply the transformation:
\[
x' = -y = -4
\]
\[
y' = x = -7
\]

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