'Glide reflection' diaporamas de présentation

SPACE LATTICES

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Chapter 14: Geometry of Motion and Change

Chapter 14: Geometry of Motion and Change. Section 14.1: Reflections, Translations, and Rotations. Transformations. Def : A transformation of a plane is an action that changes or transforms the plane.

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Chapter 7

Chapter 7. Transformations. Chapter Objectives. Identify different types of transformations Define isometry Identify reflection and its characteristics Identify rotations and the characteristics Identify translations and the characteristics

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12-6

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3-21-13 SA of Prisms, Pyramids, Cones, and Spheres

3-21-13 SA of Prisms, Pyramids, Cones, and Spheres EQ: How can you break apart prisms to find surface area? Can you use a formula to find surface area? . BOP and DWP: Explain how your determined your answer. . Which of the following descriptions is true for the graph above?

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Dilations

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Image

Image. A figure in a plane that can be reflected, rotated, or translated to produce a new figure. Preimage. The original figure before any reflections, rotations, or translations have been applied. Transformation. The operation that maps, or moves, the preimage onto the image. Isometry.

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Tessellations and Art

Tessellations and Art . Student Support Services. What is a Tessellation?. It is a tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. Types of Tessellations. Regular Tessellations Semi-regular Tessellations. Regular Tessellations.

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Tessellation Project

Tessellation Project. What is a tessellation?. A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces . Tessellations are formed using transformation. Transformations: Translation** Rotation** Reflection** Dilation.

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Transformations

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WARM UP TUESDAY FEBRUARY 4, 2014

WARM UP TUESDAY FEBRUARY 4, 2014. Rotate P(-4, -4) 180 ? 2. Rotate Q(-1, -3) 90 ? CCW . EOCT. Glide Reflections and Compositions . Compositions. Two or more transformations are combined to produce a single transformation ( ie Rotation & Reflection)

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Warm up

Warm up. Rotate P(-4, -4) 180 ? Rotate Q(-1, -3) 90 ? CCW If a function is odd and one point on it is R(-3, 4). Name another point. If a function is odd and one point on it is S(9, -10). Name another point. Review Homework. Skills Check. You can do this!.

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Geometry

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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Compositions of Isometries

Compositions of Isometries. Essential Understanding. You can express all isometries as a composition of reflections Objectives Students will be able to find compositions of isometries , including glide reflections and classify isometries . Iowa Common Core Standards

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The Alhambra Palace and The Geometric Ornamentation

??????????? ?. The Alhambra Palace and The Geometric Ornamentation. The Court of The Lions. The tilework from Alhambra (Translational Symmetry). Mirror Reflections. Keeps pattern's appearance unchanged Half-turn rotations(center A) Quarter-turn rotation(center B). Glide reflection

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Warm up

Warm up. Rotate P(-4, -4) 180 ? Rotate Q(-1, -3) 90 ? CCW If a function is odd and one point on it is R(-3, 4). Name another point. If a function is odd and one point on it is S(9, -10). Name another point. Glide Reflections. Translation, then Reflection (Combos). Glide Reflections.

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Glide Reflections

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Composition of Transformations

Composition of Transformations. Section 9.5. Composition of Transformations. When two or more transformations are combined to form a single transformation, the result is a composition of transformations. Composition of Transformations.

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Symmetry and Music:

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CHAPTER 14 TRANSFORMATION

CHAPTER 14 TRANSFORMATION. 14-3 TRANSLATIONS AND GLIDE REFLECTIONS. TRANSLATION. A transformation that glides all points in a plane the same distance in the same direction is called a translation. Ex.:. TRANSLATIONS CONT.

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