1. Determine whether the following are (T)rue or (F)alse. a) Similarity transform ations are all isometric transformations. b) Rotation is a similarity transform ation. c) All transformations are isometric. d) Dilation is a non-isometric transformation. e) Stretch is not a similarity transformation.

Let's correct the explanations for each statement:<br /><br />a) **True**. Similarity transformations (which include translations, rotations, reflections, and dilations) preserve the shape of the figure, making them isometric transformations.<br /><br />b) **True**. Rotation is a similarity transformation because it preserves the shape and size of the figure, only changing its orientation.<br /><br />c) **False**. Not all transformations are isometric. For example, translations, rotations, and reflections are isometric, but dilations (which change the size of the figure) are not.<br /><br />d) **True**. Dilation is a non-isometric transformation because it changes the size of the figure, even though it preserves the shape.<br /><br />e) **False**. Stretch is a type of non-uniform scaling, which is a similarity transformation because it preserves the shape of the figure, even though it changes the size in different directions.