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# How many different places can a design be rotated and still maintain all of its characteristics when a design has a three fold symmetry?

Updated: 11/4/2022

Wiki User

9y ago

It can be rotated 3 different places and can still maintain all of its characteristic when a design has three fold symmetry.

Wiki User

9y ago

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Q: How many different places can a design be rotated and still maintain all of its characteristics when a design has a three fold symmetry?
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### How many different places can a design be rotated and still maintain all of its characteristics when a design has four-fold symmetry?

A design with four-fold symmetry can be rotated 90, 180, or 270 degrees and still maintain all of its characteristics. This means there are three different places it can be rotated while keeping its symmetry.

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### Which property allows a design to maintain all its characteristics when it is rotated around a point in its plane?

Its order of rotational symmetry.

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False

false

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### Is it true that symmetry is the quality a design if it maintains all characteristics when it is rotated about a point?

No. Objects can have reflective symmetry but no rotational symmetry.

### What symmetry is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane?

Reflectional symmetry

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### Which property allows a design to maintain all its characteristics when it is rotated around a point on its plane?

The fact that all plane shapes have rotational symmetry whose order is at least 1.