Curly7687 Curly7687
  • 09-06-2021
  • Mathematics
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What is the image of N for a 288° counterclockwise rotation about the center of the regular pentagon?T A P E

What is the image of N for a 288 counterclockwise rotation about the center of the regular pentagonT A P E class=

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sqdancefan
sqdancefan sqdancefan
  • 09-06-2021

9514 1404 393

Answer:

 T

Step-by-step explanation:

The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.

  N' ≅ T

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