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)

Explanation:

Step1: Identify the coordinates of point Z

The coordinates of point Z are \((x,y)=(-6,8)\).

Step2: Apply the rotation formula

The formula for a \(90^{\circ}\) counter - clockwise rotation is \((x,y)\to(-y,x)\).
Substitute \(x = - 6\) and \(y = 8\) into the formula:
\(-y=-8\) and \(x=-6\).

Answer:

\((-8,-6)\)