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 transformation:

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

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

1. Substitute \(-7\) for \(x\) and \(4\) for \(y\):

   • \(x = -7\)
   • \(y = 4\)

2. Apply the transformation:

   • New \(x\) coordinate: \(-y = -4\)
   • New \(y\) coordinate: \(x = -7\)

Thus, the new point after a 90 degrees counterclockwise rotation is:

\[ (-4, -7) \]