Geometry: Transformations

Transformations

Standards
8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

https://www.mathworksheetsland.com/8/

Types of Transformations

Watch this video
Translations Reflections and Rotation: Turtlediary @ YouTube
Note: The default setting is too slowly. I find it easier to watch at the speed of 1.25. To do this, go to "Settings" (it is next to "CC"). Select "1.25" under "Speed". This should be a better setting.

Lesson
Transformation: Mathwarehouse -- This has two animated examples of transformation (reflections and translations). There is other information on this page too.

Interactive Games
Translations and Rotations: Geogebra
RoboPacker: eduplace
Shapes in Motion Shape Game Sheppard Software's -- Choose which transformation the objects are.
Transformation Game for Kids -- Use the shadow of a house in this game.

Information
https://www.mathsisfun.com/definitions/transformation.html

Videos
https://www.mrmaisonet.com/transformations/video

Misc. Interactive Games
Interactive Math: Transformations
Transformation Games and Worksheets: OnlineMathLearning
Shape Mod: Mathplayground
https://duckduckgo.com/?q=trnsformation+interactive&t=ffab&atb=v144-3a_&ia=web

Geometric Transformations: Khan Academy -- Lessons & videos
Composition of Rigid Motions: YouTube -- translation, rotation, and reflection

Printable Worksheets And Lessons
Properties of Rotations, Reflections, and Translations: Mathworksheetsland

Translation
Translation: A translation slides or moves an object.
 
Translate = Slide or Move

Slide   Slide   Slide

Move
              Move
       Move

Lesson
Translations, An interactive activity: Mathwarehouse

Interactive Games
Translations and Rotations: Geogebra

Information
https://www.mathsisfun.com/definitions/translation.html
https://www.mathsisfun.com/geometry/translation.html 

Other Resources
https://www.engageny.org/resource/grade-8-mathematics-module-2/file/113711
Mathopolis:Translation Quiz

Rotation
Rotation: A rotation turns a shape.
 
Rotate = Turn

Turn, Turn, Turn

Lesson
How to Rotate a Point: Mathwarehouse

Interactive Games
Translations and Rotations: Geogebra
Rotation about a point ON the triangle Geogebra

Quiz
Transformation: Rotating Around The Origin 90 And 180 Degrees Quiz
If you get an answer incorrect, it will show you a video. Make sure to take notes.

Information
https://www.mathsisfun.com/definitions/rotation.html
https://www.mathsisfun.com/geometry/rotation.html

Other Resources
https://www.engageny.org/resource/grade-8-mathematics-module-2/file/113711

Reflection
Reflection: A reflection flips a shape over to create a mirror image.
 
Reflect = Flip
This is like reflecting in a mirror. You flip the image.
Flip, Flip, Flip

Lesson
Transformations: How to reflect a point: Mathwarehouse

Interactive Games
Reflections: Geogebra
Reflection of the plane about a line

Quiz
Transformation: Reflection Quiz: Maisonet Math
If you get an answer incorrect, it will show you a video. Make sure to take notes.

Information
https://www.mathsisfun.com/geometry/reflection.html
https://www.engageny.org/resource/grade-8-mathematics-module-2/file/113711

When you translate, rotate, or reflect an object, they are all CONGRUENT.

Congruent
Congruent: Congruent is when a shape has the same size and shape.

Same size, same shape
Same size, same shape
Same size, same shape

Mathsisfun: Congruent

After you do these three types of transformations, the shape is still the same shape and size.
Now, you can perform the next type of transformation which is called dilation.

Dilation
Dilation: A dilation is to make something larger or smaller.

Larger or smaller
Larger or smaller
Larger or smaller

A dilation is a similarity transformation (or a similarity).

You use dilation to show that objects are SIMILAR even though they are different sizes.

Steps to Dilation:
1. Multiply both coordinates by scale factor
2. Simplify
3. Graph (if required)

Lesson
Dilations in Math: How to perform dilations: Mathwarehouse -- This is a lesson with interactive examples.

Interactive Games
Properties of Dilation: Geogebra
Exploring Dilations: Ex. 19: Geogebra -- This is using Curious George's picture.
Dilation: Geogebra
Dilation #2: Geogebra

Information and Lessons
Dilation: MathisFun
Engageny: Module 3
Mathworksheetsland: Grade 8

Search for more Dilation Interactive Resources
Dilations: Geogebra Search

So let's review some terms and definitions.
Translation: A translation moves or slides an object.
Rotation: A rotation turns a shape.
Reflection: A reflection flips a shape over to create a mirror image.
Congruent: Congruent is when a shape has the same size and shape.
Dilation: A dilation is to make something larger or smaller.