What is the image of N for a 300 degree counterclockwise rotation about the center of the regular hexagon?
A.) G
B.) H
C.) A
D.) E
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Answer:
B) H
Step-by-step explanation:
Notice that a regular hexagon has a six-fold rotational symmetry.
Every time you rotate it about its centre by one-sixth of a circle (60°), you map a vertex onto the one next to it.
If you rotate the hexagon 300° counterclockwise, that is equivalent to rotating it 60° clockwise.
When you rotate the hexagon 60° clockwise (one-sixth of a circle),
Point N maps onto point H.