Question

D(-4, -9) imagine a 90(counterclockwise) rotation, what would D' be?

Answer 1

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

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

For the point \(D(-4, -9)\):
- \(x = -4\)
- \(y = -9\)

Applying the transformation:

\[
D' = (-(-9), -4) = (9, -4)
\]

So, after a 90-degree counterclockwise rotation, the new coordinates of point \(D'\) would be \((9, -4)\).