Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for...

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Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Transcript of Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for...

Page 1: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Lines of Symmetry

A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Page 2: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Examples of lines of symmetry

NON-examples of lines of symmetry

Page 3: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Rotational Symmetry

If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotational symmetry.

The point around which you rotate is called the center of rotation. The smallest angle you need to turn is called the angle of rotation.

Page 4: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Rotational Symmetry ExamplesThis figure has rotational symmetry of 72°, and the center of

rotation is the center of the figure:

Other examples of rotational symmetry:

Page 5: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Hmmmm…How can you find the # of lines of symmetries for any

regular polygon?

How do you find the angle of rotation of any regular polygon?

Page 6: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Reflectional Symmetry

The number of lines of symmetry is equal to the number of sides.

Page 7: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Rotational Symmetry

Angle of rotation for regular polygons is:

where n is the number of sides.

Ex:

Page 8: Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

What regular polygons have 90° rotational symmetry? Explain your reasoning..

squares


Symmetry Tomáš Suk. Symmetry in 3D Reflection symmetry – plane of symmetry Rotational symmetry – axis of symmetry, combination of more axes? Translational.

Symmetry Tomáš Suk. Symmetry in 3D Reflection symmetry – plane of symmetry Rotational symmetry – axis of symmetry, combination of more axes? Translational.

HCI: GESTALT PRINCIPLES · Gestalt Principles Proximity Similarity Continuity Closure Symmetry Figure/Ground Common Fate Gestalt is the German word for “shape” or “figure”

HCI: GESTALT PRINCIPLES · Gestalt Principles Proximity Similarity Continuity Closure Symmetry Figure/Ground Common Fate Gestalt is the German word for “shape” or “figure”

MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry Creating Rotational Symmetry.

MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry Creating Rotational Symmetry.

Reflection and Rotation Symmetry Reflection-Symmetric Figures A figure has symmetry if there is an isometry that maps the figure onto itself. If that.

Reflection and Rotation Symmetry Reflection-Symmetric Figures A figure has symmetry if there is an isometry that maps the figure onto itself. If that.

Point Symmetry - St. Louis Public Schools...Point Symmetry •Rotating a figure that has point symmetry 180o should look the same. 3.1 Symmetry and Coordinate Graphs Point Symmetry

Point Symmetry - St. Louis Public Schools...Point Symmetry •Rotating a figure that has point symmetry 180o should look the same. 3.1 Symmetry and Coordinate Graphs Point Symmetry

Symmetry Descriptors and 3D Shape Matching · 2004. 5. 28. · M. Kazhdan T. Funkhouser & S. Rusinkiewicz / Symmetry Descriptors Figure 1: A visualization of the symmetry descriptors

Symmetry Descriptors and 3D Shape Matching · 2004. 5. 28. · M. Kazhdan T. Funkhouser & S. Rusinkiewicz / Symmetry Descriptors Figure 1: A visualization of the symmetry descriptors

Animals Kingdom: Animalia. Symmetry Asymetry Radial Symmetry Bilateral Symmetry.

Animals Kingdom: Animalia. Symmetry Asymetry Radial Symmetry Bilateral Symmetry.

Weeblykhouryawad.weebly.com/uploads/3/8/7/0/38702363/unit_1b.pdfwhether it is rotational or reflectional symmetry. Color and Detail the Flag!! Use symbols, colors and shapes that somehow

Weeblykhouryawad.weebly.com/uploads/3/8/7/0/38702363/unit_1b.pdfwhether it is rotational or reflectional symmetry. Color and Detail the Flag!! Use symbols, colors and shapes that somehow

U2 L4 Symmetry Lesson.notebook - Hendrick … · U2 L4 Symmetry Lesson.notebook 1 October 23, 2017 Oct 54:54 PM U2 L4 Symmetry Oct 54:55 PM Line or Reflectional Symmetry A figure

U2 L4 Symmetry Lesson.notebook - Hendrick … · U2 L4 Symmetry Lesson.notebook 1 October 23, 2017 Oct 54:54 PM U2 L4 Symmetry Oct 54:55 PM Line or Reflectional Symmetry A figure

Symmetry Section 3.1. Symmetry Two Types of Symmetry:

Symmetry Section 3.1. Symmetry Two Types of Symmetry:

Semantic Analysis of (Reflectional) Visual Symmetry: A ... · Indeed, the high-level semantic interpretation of symmetry in naturalistic visual stimuli by humans is a multi-layered

Semantic Analysis of (Reflectional) Visual Symmetry: A ... · Indeed, the high-level semantic interpretation of symmetry in naturalistic visual stimuli by humans is a multi-layered

lpcsdtcasey.weebly.comlpcsdtcasey.weebly.com/.../24019330/t_-_review_symmetry.docx · Web viewLine symmetry and Reflectional symmetry are the same types of symmetry.T or F 7. The

lpcsdtcasey.weebly.comlpcsdtcasey.weebly.com/.../24019330/t_-_review_symmetry.docx · Web viewLine symmetry and Reflectional symmetry are the same types of symmetry.T or F 7. The

Answers to Exercises - Test Page for Apache Installationjivens_rosanna/Site/2014Geom_Ch_Resources...Answers to Exercises 11. 12. reflectional symmetry 13. 4-fold rotational and reflectional

Answers to Exercises - Test Page for Apache Installationjivens_rosanna/Site/2014Geom_Ch_Resources...Answers to Exercises 11. 12. reflectional symmetry 13. 4-fold rotational and reflectional

CHAPTER 9.5 AND 9.6 Symmetry and Dilations. SYMMETRY A figure has symmetry if there exists a rigid motion- reflection, translation, rotation, or glide.

CHAPTER 9.5 AND 9.6 Symmetry and Dilations. SYMMETRY A figure has symmetry if there exists a rigid motion- reflection, translation, rotation, or glide.

Chapter I - Molecular Symmetry Figure 1.1. Examples of molecules ...

Chapter I - Molecular Symmetry Figure 1.1. Examples of molecules ...

Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary.

Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary.

SYMMETRY A Sketchbook of Symmetry. SYMMETRY A Definition? Symmetry OPERATIONS –Reflection –Rotation –Others Symmetry Elements –Mirror (plane) –Rotation.

SYMMETRY A Sketchbook of Symmetry. SYMMETRY A Definition? Symmetry OPERATIONS –Reflection –Rotation –Others Symmetry Elements –Mirror (plane) –Rotation.

Objectives: - Define polygon, reflectional symmetry, rotational symmetry, regular polygon, center of a regular polygon, central angle of a regular polygon,

Objectives: - Define polygon, reflectional symmetry, rotational symmetry, regular polygon, center of a regular polygon, central angle of a regular polygon,

Section 12-5 Symmetry SPI 32D: determine whether the plane figure has been translated given a diagram and vice versa Objectives: Identify types of Symmetry.

Section 12-5 Symmetry SPI 32D: determine whether the plane figure has been translated given a diagram and vice versa Objectives: Identify types of Symmetry.

Math 3560 Groups and Symmetry,Fall2014pi.math.cornell.edu/~gomez/Math3560/Files/Symmetry.pdfMath 3560 Groups and Symmetry,Fall2014 RaulGomez 1 Galois Theory 1= 26 Galoistheory Figure

Math 3560 Groups and Symmetry,Fall2014pi.math.cornell.edu/~gomez/Math3560/Files/Symmetry.pdfMath 3560 Groups and Symmetry,Fall2014 RaulGomez 1 Galois Theory 1= 26 Galoistheory Figure