Holy122
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what is the image of n for a 144° counterclockwise rotation about the center of the regular pentagon

A. A
B. E
C. P
D. T

what is the image of n for a 144 counterclockwise rotation about the center of the regular pentagon A A B E C P D T class=

Respuesta :

Knigerian
I believe the answer would be C. P
144 is two fifths of 360 so for a pentagon, it would cause the point to shift two places

Answer:

The correct option is C. The image of N for a 144° counterclockwise rotation about the center is P.

Step-by-step explanation:

The number of vertices of a regular pentagon is 5.

The central angle between two consecutive vertices is

[tex]\frac{360}{5}=72[/tex]

It means the central angle between two consecutive vertices is 72 degrees.

We have to find the image of N for a 144° counterclockwise rotation about the center.

If pentagon rotates 72 degree counterclockwise rotation about the center, then the image of N is E.

If pentagon rotates (72+72) degree counterclockwise rotation about the center, then the image of N is P.

The image of N for a 144° counterclockwise rotation about the center is P.

Therefore the correct option is C.

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