Given a point (−7, 4)

Question

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

Answer 1

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

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

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

• The new x-coordinate is \(-y = -4\)
• The new y-coordinate is \(x = -7\)

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

\[ (-4, -7) \]

So the answer is:

\[ (-4, -7) \]