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′ (,)

Answer 1

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

For a point \((x, y)\), the coordinates after a 90-degree counterclockwise rotation about the origin are given by the transformation:

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

Given that the coordinates of W are \((-3, 7)\), we can apply the transformation:

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

Thus, the coordinates of \(W'\) after the rotation are:

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

So the final answer is:

W′ \((-7, -3)\)