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-degree rotation about the origin.

Answer 1

To find the coordinates of the point W' after a 90-degree rotation about the origin, we can apply the rotation mapping rules for coordinates.

The rotation mapping rule for a 90-degree rotation counterclockwise about the origin is: \[ (x, y) \rightarrow (-y, x) \]

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

• Here, \( x = -4 \) and \( y = 7 \). Applying the rotation rule: \[ W' = (-y, x) = (-7, -4) \]

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