A triangle has vertices W (-4,7), Q (-1,-1) and Z (-7,-2). Apply rotation mapping rules to find the coordinates of W' after a 90-degre

Question

rotation about the origin. (1 point)

Answer 1

To find the coordinates of point W' after a 90-degree rotation around the origin, we can use the standard rotation rule for a 90-degree counterclockwise rotation. The rule states that if a point has coordinates \((x, y)\), after a 90-degree counterclockwise rotation, the new coordinates will be \((-y, x)\).

For point W with coordinates \((-4, 7)\):

1. Identify \(x = -4\) and \(y = 7\).
2. Apply the rotation rule:
   • \(W' = (-y, x) = (-7, -4)\).

Therefore, the coordinates of W' after a 90-degree rotation about the origin are \((-7, -4)\).