Question

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△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 \( (-6,8) \), 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:
When \( x=-6,y = 8 \), the new \( x\) - coordinate is \(-y=-8\) and the new \( y\) - coordinate is \(x=-6\).

Answer:

\((-8,-6)\)