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question what is the image of the point (-7, -8) after a rotation of 18…

Question

question what is the image of the point (-7, -8) after a rotation of 180° counterclockwise about the origin? answer attempt 1 out of 2 show examples score: 1/3 penalty: none

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180° counter - clockwise about the origin, the new coordinates $(x',y')$ are given by $(x',y')=(-x,-y)$.

Step2: Apply the rule

For the point $(-7,-8)$, we have $x = - 7$ and $y=-8$. Then $x'=-(-7)=7$ and $y'=-(-8)=8$.

Answer:

$(7,8)$