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the point p(-1, 6) is rotated 180° counterclockwise around the origin. …

Question

the point p(-1, 6) is rotated 180° counterclockwise around the origin. what are the coordinates of the resulting point, p?

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180° counter - clockwise around the origin, the new coordinates are $(-x,-y)$.

Step2: Apply rule to point P

For point $P(-1,6)$, $x=-1$ and $y = 6$. The new $x$ - coordinate is $-(-1)=1$, and the new $y$ - coordinate is $-6$.

Answer:

$(1,-6)$