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Neporo4naja [7]
3 years ago
6

Which regular polygon has a minimum rotation of 45 degrees to carry the polygon onto itself?

Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

Answer:

Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:

A. octagon.

Step-by-step explanation:

We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:

\dfrac{360\degree}{n}

Here we are given the minimum angle of  rotation such that polygon is transformed to itself as 45 degree.

i.e. we have:

\dfrac{360}{n}=45\\\\n=\dfrac{360}{45}\\\\n=8

Hence, the number of sides of a polygon are 8.

Hence, the polygon is:

A. octagon.

( Since a polygon with 8 sides is called a octagon)

SVEN [57.7K]3 years ago
6 0
Octagon, because 360/8 = 45
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