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Use letters to create a design with translational symmetry. Does your design have any other types of symmetry? Which of the following designs has translational symmetry?

A. SSO SOS OSS
B. SOS SOS SOS
C. SOO OSO SOO
D. SSS OOO SSS

User Nre
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1 Answer

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Final answer:

To create a design with translational symmetry using letters, arrange the letters in a pattern that can be shifted to create the same pattern. The design that has translational symmetry among the given options is Option C: SOO OSO SOO.

Step-by-step explanation:

To create a design with translational symmetry using letters, you would need to arrange the letters in a pattern that can be shifted by a certain distance to create the same pattern again. For example, you can arrange the letters 'ABC' vertically in a pattern ABC ABC ABC, and then shift the pattern down by one letter to get BCA BCA BCA. This design has translational symmetry because it can be shifted to create the same pattern.

In the given options, the design that has translational symmetry is Option C: SOO OSO SOO. This design can be shifted horizontally or vertically to create the same pattern.

Other types of symmetry that a design may have are rotational symmetry and reflectional symmetry. In this case, the given designs do not exhibit rotational or reflectional symmetry.

User Zsolt Balint
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