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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. (1 point)

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To find the coordinates of the point \( W' \) after a 90-degree rotation counterclockwise about the origin, we can use the following rotation mapping rule:

For a point \( (x, y) \), the coordinates after a 90-degree counterclockwise rotation about the origin will be given by: \[ (-y, x) \]

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

  1. Replace \( x \) with \(-4\) and \( y \) with \( 7 \):
    • New x-coordinate: \(-y = -7\)
    • New y-coordinate: \(x = -4\)

So, the coordinates of \( W' \) after the 90-degree rotation are: \[ W' = (-7, -4) \]

Thus, the final coordinates of \( W' \) are \((-7, -4)\).