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Geometry. Lesson 7.6 Extended Application: Frieze Patterns. Classifying Frieze Patterns. A frieze pattern or border pattern is a pattern that extends infinitely to the left and right in such a way that the pattern can be mapped onto itself by a horizontal translation

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## Geometry

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**Geometry**Lesson 7.6 Extended Application: Frieze Patterns**Classifying Frieze Patterns**• A frieze pattern or border pattern is a pattern that extends infinitely to the left and right in such a way that the pattern can be mapped onto itself by a horizontal translation • Some frieze patterns can be mapped onto themselves by other transformations: • Translation (T) • A 180° rotation (R) • A reflection about a horizontal line (H) • A reflection about a vertical line (V) • A horizontal glide reflection (G)**Examples of Frieze Patterns**• Name the transformation that results in the frieze pattern**Name the transformation that results in the frieze pattern**Horizontal Translation Horizontal Translation Or 180° Rotation Horizontal Translation Or Reflection about a vertical line Horizontal Translation Or Horizontal glide reflection**Classifying Frieze Patterns**• What kind of frieze pattern is represented?**Classifying Frieze Patterns**• What kind of frieze pattern is represented? • TRHVG • It can be mapped onto itself by a translation, a 180° rotation, a reflection about a horizontal or vertical line, or a glide reflection**Classifying a Frieze Pattern**A portion of the frieze pattern on the above building is shown. Classify the frieze pattern. TRHVG

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