Question

△vwz is rotated 90 counterclockwise around the origin to form △vwz
90 counterclockwise rotation:
(x,y) → (-y,x)
what are the coordinates of point z after the rotation?
(-8, -6) (-6, -8)
(6, -8) (-8, 6)
image of coordinate plane with triangles v w z and v w z

Explanation:

Step1: Identify coordinates of Z

Point Z has coordinates $(-6, 8)$.

Step2: Apply rotation rule

Use $90^\circ$ counterclockwise rule $(x,y) \to (-y,x)$. Substitute $x=-6$, $y=8$: $(-8, -6)$.

Answer:

$(-8, -6)$