Geometry Never, never, never give up. Winston Churchill Today: Assignment Check 9.5 Instruction Practice

Assignment: 9.4 p 656 #27, 29, 35, 41, 43, 45, 46 Homework Quiz Chapter 7 on Thursday Test Chapter 7 on Friday Geometry Never, never, never give up. Winston Churchill

Objectives: 1.Recognize transformations used to make frieze patterns 2.Recognize tessellation in art Vocabulary: Frieze Pattern, Tessellation 9.5 Symmetry, Frieze Patterns and Tessellations

Example 3 A designer created several patterns to be used as borders. Which of the designs shows a 90° rotation. CHOOSE ALL THAT APPLY!

Example 3 A.90° Rotation B.180° Rotation C.Reflect over Horizontal Line D.Reflect over Vertical Line The design shown contains congruent scalene right triangles. What type of transformations were used to create the pattern? CHOOSE ALL THAT APPLY!

Frieze Pattern: Pattern that can be mapped onto itself using transformations. Tessellation: “tiling” of frieze pattern to fill a plane with no gaps or overlaps. 7.5 Vocabulary

Transformations: 7.6 Translation – T

Transformations: 7.6 Translation – T Reflection in a horizontal line – H

Transformations: 7.6 Translation – T Reflection in a horizontal line – H Reflection in a vertical line – V

Translation – T Reflection in a horizontal line – H Reflection in a vertical line – V Glide reflection – G Transformations: 7.6

Transformations: 7.6 Translation – T Reflection in a horizontal line – H Reflection in a vertical line – V Glide reflection – G Rotation – R

Translation, 180° Rotation, Vertical Line Reflection, & Glide Reflection – TRVG Classification of Frieze Patterns: 7.6

Translation, 180° Rotation, Horizontal Line Reflection, Vertical Line Reflection, & Glide Reflection – TRHVG Classification of Frieze Patterns: 7.6

Translation (horizontal) – T Identify these Frieze Patterns: 7.6 translation & horizontal glide reflection – TG or translation and a 180 rotation – TR

translation, rotation, vertical reflection, horizontal reflection, glide reflection– TRHVG Identify these Frieze Patterns: 7.6

Most Common Tessellations use: Regular triangles, squares, & hexagons

Rectangles, Parallelograms, & rhombuses work as well.

Not all Regular shapes work.

Slice Method – works with any shape that will tessellate.

Gap Method – works with 2 shapes

M.C. Escher Examples In ART!!

Elefante' by Hallie McGee age 9 Examples In ART!!

David Annal Examples In ART!!

4 Guitarists by Nicole Benoit age 10 Examples In ART!!

Flowers by Nicole Benoit age 10 Examples In ART!!

Example 3 A.Isabella B.Angela C.Both D.Neither Isabella and Angela are studying the wallpaper design in their room. They have found an image that seems to repeat. Isabella claims the image is reflected only, Angela says it must be rotated as well. Who is correct?

Example 3 The tile to the right is an equilateral triangle. Which design can be produced by transforming only this tile?

Assignment: Review Chapter 9 p. 684 #1-34 and p. 692 #1-3 and 8-11 Homework Quiz Chapter 7 on Thursday Test Chapter 7 on Friday Geometry Never, never, never give up. Winston Churchill