A triangle has vertices W(-3, 7)

Question

, Q (1, - 1), and Z (-5, -2). Apply rotation mapping rules to find the coordinates of W' after a 90-degree (counterclockwise) rotation about the origin. (1 point)
W'l

Answer 1

To find the coordinates of point W' after a 90-degree counterclockwise rotation about the origin, we can use the rotation mapping rule for a 90-degree counterclockwise rotation, which is given by the transformation:

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

For the point W(-3, 7):

1. Identify the coordinates: \( x = -3 \) and \( y = 7 \).
2. Apply the transformation: \[ W' = (-y, x) = (-7, -3) \]

Therefore, the coordinates of W' after a 90-degree counterclockwise rotation about the origin are:

\[ W'(-7, -3) \]