# Proving Triangles Similar (1)

Some transformations we've already learned about

**preserve DISTANCE. These transformations are called ISOMETRIES. Recall isometries include****Translation by Vector Rotation about a Point Reflection about a Line Reflection about a Point ( same as 180-degree rotation about a point)**For a quick refresher about isometries, see this Messing with Mona applet.**Yet there's ANOTHER transformation that DOES NOT preserve distance. This transformation is called a dilation.**For a quick refresher about properties of dilations, click here. By definition,**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: ISOMETRIES & NON-ISOMETRIES.)**Given the definition of similar figures described above, prove that is SIMILAR to by using any one or more of the transformational geometry tools in the limited tool bar.

Download our apps here: