There are 4 main types of transformations, but there are many more. The main four are:
- Rotation: The distance from the center to any point on the shape stays the same.
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This ballerina is rotating 360 degrees consistantly. She is rotating from her heel on her left foot. |
- Translation: When an image moves by changing it's coordinates by equal distance, same direction, and that the figure stays the same size.
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A students drawing of their ΔABC being translated by T(7,4). |
- Reflection: when an image is reflected over a line to create a mirror image.
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The woman in this picture is being reflected by the lake in front of her. |
- Dilation: when an image is enlarged or shrunk from its original being.
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The image that Homer is holding, is the image that the screen keeps dilating into. |
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This person's pupil is dilated due to being horrified. |
There are many more transformations out there ! But try this little problem:

the other defs were isometry, glide reflection, orientation, and direct/opposite isometries. I see your next post. this is how to identify transformations...
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