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Point N (7, 4) is rotated 180° counterclockwise about the origin.

What are the coordinates of its image after this transformation?


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N′ ( , )

Verified Answer :

Coordinates of Initial Object = (7, 4)

Now, it is rotated 180° counterclockwise about the origin, so the transformation would be: (x, y) → (-x, -y)

In short, Your Answer would be: (-7, -4)

Hope this helps!

OK, so when you started this equation the points were (7, 4). Then, it turned 180 degrees counterclockwise around the origin or axis. That is all we need to know for now, to solve this equation. Its all about visualizing and converting. 
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First, lets go over the basics. 180 degrees is exactly the other side of the "circle", so when your on the top of the circle and you go 180 degrees, you will end up at the bottom of the circle, you'll go to the opposite side. A 360 degree spin means you went around the whole circle and ended up where you started. I find picturing a car spinning out helps me the most in remembering these degrees and so on :)
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So if your'e at (7,4), you just go to the "bottom of the circle" on the complete opposite. In charts and plots, you will just simply change the (x,y) into (-x,-y), so change the plot, (7,4) to (-7,-4).Thats It! 
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Your final answer is N' (-7,-4) 
If you need help, tag me, and ill be there! Good luck!!!

Thank you,
Darian

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