Ask a New Question
Menu

Given a point (−7, 4)

on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point)

1 answer

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

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

Starting with the point \((-7, 4)\):

  1. The \(x\) coordinate is \(-7\) and the \(y\) coordinate is \(4\).
  2. Apply the transformation:
    • New \(x\) coordinate: \(-y = -4\)
    • New \(y\) coordinate: \(x = -7\)

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

\[ (-4, -7) \]