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What is the image of (1, -6) for a 270° counterclockwise rotation about the origin?


(-1, -6)


(-1, 6)


(-6, -1)


(6, 1)

Verified Answer :

I think (-1,-6) 
hope this help

Answer:

The image of (1,-6) is (-6,-1)

C is correct

Step-by-step explanation:

Given: (1,-6) rotate 270° counterclockwise rotation about the origin.

For 270° counterclockwise rotation about the origin.

\((x,y)\overset{270^\circ}{\rightarrow}(y,-x)\)

\((1,-6)\overset{270^\circ}{\rightarrow}(-6,-1)\)

(1,-6) lie in IV quadrant.

After 270° counterclockwise rotation about the origin

Point image form in III quadrant.

Hence, The image of (1,-6) is (-6,-1)

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