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Question
rotation of a point
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question
what is the image of the point (3, - 6) after a rotation of 180° counterclockwise about the origin?
answer
attempt 1 out of 2
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Step1: Recall rotation rule
The rule for a 180 - degree counter - clockwise rotation about the origin is $(x,y)\to(-x,-y)$.
Step2: Apply the rule
Given the point $(3, - 6)$, substitute $x = 3$ and $y=-6$ into the rule. We get $(-3,6)$.
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$(-3,6)$