Translation
Reflection
Reflect across the X or Y axis. Reflect across a line parallel to the X or Y axis. Reflect across a line 45 degrees from the X or Y axis. Reflect across any line.
Rotation
90 or 180 degree rotations 45 or 135 degree rotations 15, 30, 60, etc. degree rotations Rotate around the origin. Rotate around any point.
Point Reflection
Reflect across the origin. Reflect across any point.
Dilation
Place the shape at the origin. Dilate from the origin. Dilate from a vertex of the shape. Dilate from any point. Allow dilations less than 1. Allow negative dilations.
Show the line of reflection/point of rotation, etc.
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