Transformations+and+Isometries

toc =Isometries and Transformations= There are additional practice problems ans videos to watch at http://www.brightstorm.com.

What are Transformations and Isometries?
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Transformation Tools in GeoGebra

 * [[image:transformation_menu.png width="412" height="272"]] || The transformation menu in GeoGebra has the six tool shown at left. The tools with the RED BOX around them are the ISOMETRY TOOLS. The tool with the YELLOW BOX around it is also an Isometry, but it does just one special thing.

The other two tools are not Isometries. We will use the DILATION TOOL.

You should play around with all these tools so you know how they work. ||

What is a Translation?
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Drag points A and B around. This changes the vector, which changes the translation.


 * REMEMBER!** Translations are represented as

math (x,y) \rightarrow \left( x+h,y+k \right) math

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Reflection Coordinate Rules
Reflection over the y-axis math (x,y) \rightarrow \left( -x, y \right) math

Reflection over the x-axis math (x,y) \rightarrow \left( x, -y \right) math

Reflection over the line y = x math (x,y) \rightarrow \left( y, x \right) math

Reflection over the line y=-x math (x,y) \rightarrow \left( -y, -x \right) math

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