Question

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′ (,)
Select One

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:

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