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)

Answer 1

To find the coordinates of point W(−3, 7) after a 90-degree counterclockwise rotation about the origin, we can use the rotation mapping rule for a 90-degree counterclockwise rotation which is:

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

Now, applying this rule to the point W(−3, 7):

1. Identify x and y:

   • \(x = -3\)
   • \(y = 7\)

2. Apply the rotation rule:

   • The new x-coordinate will be \(-y = -7\).
   • The new y-coordinate will be \(x = -3\).

Thus, the coordinates of W' after a 90-degree counterclockwise rotation about the origin are:

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