A traingle 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- degree rotation about the orgin.

Answer 1

To find the coordinates of point \( W' \) after a 90-degree rotation around the origin, we can use the rotation mapping rules. For a 90-degree counterclockwise rotation about the origin, the transformation rule for a point \( (x, y) \) is given by:

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

Given the coordinates of point \( W(-4, 7) \):

1. Identify \( x \) and \( y \):

   • \( x = -4 \)
   • \( y = 7 \)

2. Apply the rotation rule:

   • \( W' = (-y, x) \)
   • This gives us \( W' = (-7, -4) \)

Thus, after a 90-degree counterclockwise rotation about the origin, the coordinates of \( W' \) are \( \boxed{(-7, -4)} \).