Sort each rule into either rigid transformations, similarity transformations, or neither.[br][br]Click and drag each equation into the correct column. Be careful you don't click on the background and drag it or your sort will be messed up! If you accidentally do this then click the "undo" arrow in the top right corner, then click somewhere in the white background before you try to drag another rule.
What patterns do you notice when determining whether a rule is a rigid transformation, similarity transformation, or neither?
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[/img]