Question

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which frieze pattern was applied to the solid black hexagons to create the design?
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pattern 1: translational symmetry only
pattern 4: vertical mirror symmetry and translational symmetry
pattern 3: horizontal mirror symmetry and glide reflectional symmetry and translational symmetry
pattern 5: 180 - degree rotational symmetry and translational symmetry

Explanation:

Examine the design for symmetries. There is horizontal mirror - like reflection, glide reflection (a combination of translation and reflection), and translation. Pattern 3 matches these symmetries.

Answer:

pattern 3: horizontal mirror symmetry and glide reflectional symmetry and translational symmetry