Some transformations we've already learned about [b][color=#0000ff]preserve DISTANCE. These transformations are called ISOMETRIES. Recall isometries include [/color][/b][br][color=#0000ff][b][br]Translation by Vector[br]Rotation about a Point[br]Reflection about a Line[br]Reflection about a Point ( same as 180-degree rotation about a point) [br][/b][/color]For a quick refresher about [color=#0000ff]isometries[/color], see this [url=https://www.geogebra.org/m/KFtdRvyv]Messing with Mona applet[/url]. [br][br][color=#9900ff][b]Yet there's ANOTHER transformation that DOES NOT preserve distance. [br]This transformation is called a dilation. [/b][/color][br]For a quick refresher about properties of [color=#9900ff]dilations[/color], [url=https://www.geogebra.org/m/jT3E9DBv]click here[/url]. [br][br]By definition, [br][b]ANY 2 figures are said to be SIMILAR FIGURES if and only if one can be mapped perfectly onto the other under a single transformation OR a composition of 2 or more transformations. (These possible transformations include all those listed above: [color=#0000ff]ISOMETRIES [/color]& [color=#9900ff]NON-ISOMETRIES.) [/color][br][/b][br]