A triangle has vertices W(-3,7) Q(1,-1), and Z(-5,-2). Apply rotation mapping rules to find the coordinates of W' after a 90 degrees (counterclockwise) rotation about the origin.

Question

A. -1,1)
B. (7,3)
C. 3,-7)
D. (-7,-3)

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 transforms a point (x, y) to (-y, x).

1. Start with the coordinates of point W: \[ W(-3, 7) \]

2. Apply the rotation rule: \[ W' = (-y, x) = (-7, -3) \]

Thus, the new coordinates W' after the rotation are (-7, -3).

The correct answer is: D. (-7, -3).