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.

Question

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.

Answer 1

Let's correct the explanations for each statement:a) **True**. Similarity transformations (which include translations, rotations, reflections, and dilations) preserve the shape of the figure, making them isometric transformations.b) **True**. Rotation is a similarity transformation because it preserves the shape and size of the figure, only changing its orientation.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.d) **True**. Dilation is a non-isometric transformation because it changes the size of the figure, even though it preserves the shape.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.

Problemas

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.

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