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 \((-4, -7)\).