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-degree (counterclockwise) rotation about the origin.(1 point) W′ (,)

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Answer 1

To rotate a point \( (x, y) \) counterclockwise by 90 degrees about the origin, the mapping rule is:

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

For the point \( W(-3, 7) \):

1. Apply the rule: \[ W' = (-7, -3) \]

So the coordinates of \( W' \) after a 90-degree counterclockwise rotation about the origin are:

\[ W'(-7, -3) \]