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What is the smallest angle of rotational symmetry that maps a regular octagon onto itself?

Respuesta :

The smallest angle of rotational symmetry that maps a regular octagon onto itself would be 45°.

360/8 = 45

The smallest angle of rotational symmetry will be "45°".

Regular octagon:

  • It has eight sides of the same length as well as eight identical angles. This arrangement devised the angle of rotation into 360° movement.

then,

→ The smallest angle will be:

= [tex]\frac{360}{8}[/tex]

= [tex]45^{\circ}[/tex]

We can say that the octagon returns its originating octagon just about every 45 degrees rotational so that an octagon does indeed have a rotary symmetry ordering of eight.

Thus the above answer is correct.

Learn more about regular octagon here:

https://brainly.com/question/4837258

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