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 original coordinates

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

Step2: Apply the rotation formula

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

Answer:

\((-8,-6)\)