Use rotation mapping to locate C' after a -90 degree clockwise rotation about the origin

Question

Point B: (-8, 8)
Point A: (-8, 2)
Point C: (-5, 2)

Answer 1

To locate the point C' after a -90 degree clockwise rotation about the origin, we can use the standard rotation mapping formula:

For a point \((x, y)\):

• After a -90 degree clockwise rotation, the new coordinates \((x', y')\) can be found using the formulas: \[ x' = y \] \[ y' = -x \]

Now, we will apply this to point C = (-5, 2).

1. Plug the coordinates of point C into the formulas: \[ x' = y = 2 \] \[ y' = -x = -(-5) = 5 \]

2. Thus, the new coordinates of point C' after the rotation are: \[ C' = (2, 5) \]

So point C' after a -90 degree clockwise rotation about the origin is \(C' = (2, 5)\).