kenzieharris10351
kenzieharris10351 kenzieharris10351
  • 29-11-2021
  • Mathematics
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Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.

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Nathanl0527
Nathanl0527 Nathanl0527
  • 29-11-2021

Answer:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

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