Given a point (−7, 4)

Question

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:

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

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

• Here, \(x = -7\) and \(y = 4\).
• Applying the transformation:

\[ (-7, 4) \rightarrow (-4, -7) \]

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