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 about the origin, you can use the following transformation:

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

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

1. Take \(x = -7\) and \(y = 4\).
2. Apply the transformation:
- The new x-coordinate will be \(-y = -4\).
- The new y-coordinate will be \(x = -7\).

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

\[
(-4, -7)
\]

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