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 rotate a point \((x, y)\) 90 degrees counterclockwise about the origin, we can use the following transformation rule:

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

Now, let's apply this rule to the point \( W(-3, 7) \):

1. Identify the coordinates: \( x = -3 \) and \( y = 7 \).
2. Apply the transformation:

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

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

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