Question

question
what is the image of the point (8,9) after a rotation of 180° counterclockwise about the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Apply the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) counterclockwise about the origin, the new coordinates \((x',y')\) are given by the rule \((x',y')=(-x,-y)\).
For the point \((8,9)\), substitute \(x = 8\) and \(y=9\) into the formula.

Step2: Calculate the new coordinates

\(x'=-8\) and \(y'=-9\)

Answer:

\((-8,-9)\)