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:

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

For the given point \( (-7, 4) \):

1. Identify \( x = -7 \) and \( y = 4 \).
2. Substitute into the transformation:

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

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