Khan Academy on a Stick
Transformations
Let's think more visually about things like shifts, rotations, scaling and symmetry.
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Axis of symmetry
Do you know identical twins? Or maybe you are one? If so, then you know something about symmetry. In geometry, the axis of symmetry separates two identical sides.
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Rotating polygons 180 degrees about their center
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Constructing quadrilateral based on symmetry
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Constructing a shape by reflecting over 2 lines
Symmetry
Let's get an intuitive understanding for symmetry of two dimensional shapes.
Rotating segment about origin example
Reflecting line across another line example
Translations of polygons
Determining a translation for a shape
Rotation of polygons exampleExploring rigid transformations
Let's use some pretty cool software widgets to see how we can transform a shape through translations, rotations, dilations and reflections.
Dilating one line onto another
Comparing side lengths after dilation
Thinking about dilations
Dilating from an arbitrary point exampleDilations or scaling around a point
We understand the idea of scaling/dilation from everyday life (hey, let's make it bigger or smaller keeping the same proportions!). In this tutorial, you'll understand this type of transformation in a much, much deeper way.
Performing a rotation to match figures
Reflection and mapping points example
Scaling down a triangle by half
Possible transformations example
Determining the line of reflection
Determining a translation between points
Defining transformations to match polygons