Question

A bicycle wheel is represented in a coordinate plane with the center of the wheel at the origin. Reflectors are placed on the bicycle wheel at

points (7,4) and (-5, -6). After a bike ride, the reflectors have rotated 90° counterclockwise about the origin. What are the locations of the
reflectors at the end of the bike ride?
The locations of the reflectors are (0) and (0)

Answer 1

(7, 4)

Explanation:

You want to know the locations of points (7, 4) and (-5, -6) after they have been rotated 90° CCW about the origin.

CCW rotation

When a point is rotated 90° CCW about the origin, the coordinates have the transformation ...

(x, y) ⇒ (-y, x)

The rotated points are ...

(7, 4) ⇒ (-4, 7)

(-5, -6) ⇒ (6, -5)