Creating Symmetry through Shape Transformations

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Creating Symmetry through Shape Transformations

Translation, dilation, rotation, and reflection are four different, unique strategies used for transforming shapes. – AIO

The word “transformation” refers to a movement or change in a geometric shape. If we slide a geometric shape to the right or left, this is called a “translation”.– MathArt

https://www.google.com/search?q=different+kinds+of+shape+transformation+art&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a&channel=fflb#channel=fflb&q=transformation+art+symmetry&rls=org.mozilla:en-US:official&spell=1

The National Council of Teachers of Mathematics Standards for School Mathematics in geometry says:

“Instructional programs from pre kindergarten through grade 12 should enable all students to apply transformations and use symmetry to analyze mathematical situations; use visualization, spatial reasoning, and geometric modeling to solve problems.” – K12Hi.us

Math is Fun – gives an excellent lesson on Symmetry and how Shape Transformation helps us to achieve this.

Symmetry is in Nature

 

Patterns in Nature

Oxford University Press – Explains how symmetry is transformation

AMS.org – Math used in art

Translation = Slide

Art Examples:

Math is Fun – Learn more about translation of shapes and how to make a shape translate on a graph.

Rotation = Turn

Art Examples:

Math is Fun – Explanation about Rotation. Online shape rotater so you can practice.

Learn to create Symmetry through rotation – Math is Fun

Reflection = Flip

Art Examples:

Math is Fun – Learn more about reflecting shapes, how to draw a shape and make it reflect using a graph.

Learn to Create Symmetry with reflection – Math is Fun

Make a design online and see the instant Reflection of it

 Dilation = Grow

Art Examples:

 Math is Fun – Learn more abut dilating a shape and how to  make a shape dilation on a graph

Art Examples:

Math is Fun – Explains point symmetry

PowerPoint Presentation  – this presentation was provided by ArtNc

View the examples of Transformation (Slide), Rotation (Turn) and Reflection (Flip).  Make your own examples of these three.

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