How does a dilation transformation compare to translations, rotations, and reflections?

Question

A. Dilation transformation are the only ones that do not maintain the same side lengths
B. All transformations change the size and shape of figures
C. All transformations move figures across the coordinate plane
D. Dilation transformations make figures larger; translations shrink figures

Answer 1

The correct answer is:

A. Dilation transformations are the only ones that do not maintain the same side lengths.

Here's a brief explanation of each transformation for context:

• Dilation: This transformation changes the size of a figure but does not preserve the side lengths. It either enlarges or reduces the figure based on a scale factor.
• Translations: These transformations move a figure to a different location on the coordinate plane without changing its size or shape.
• Rotations: This transformation turns a figure around a fixed point (the center of rotation) without changing its size or shape.
• Reflections: This transformation flips a figure over a line (the line of reflection) without changing its size or shape.

So, while dilations alter the size and do not maintain side lengths, translations, rotations, and reflections preserve the size and shape of the figures.