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.
To find the coordinates of W' after a 90-degree counterclockwise rotation about the origin, we can use the following rotation mapping rules:
For a counterclockwise rotation of 90 degrees about the origin:
x' = -y
y' = x
So, let's apply these rules to the coordinates of W(-3,7):
x' = -y = -7
y' = x = -3
Thus, the coordinates of W' after a 90-degree counterclockwise rotation about the origin are W'(-7,-3).