How does a dilation transformation compare to translations, rotations, and reflections? (1 point)

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

5 answers

A dilation transformation differs from translations, rotations, and reflections in several key ways:

  1. Change in Size: Dilation transformations change the size of figures—either enlarging or shrinking them—while maintaining their shape (the proportions of the figure). In contrast, translations, rotations, and reflections do not alter the size or shape; they only change the position or orientation of the figure.

  2. Maintaining Side Lengths: Dilation transformations do not maintain the same side lengths of the figures—either the lengths increase or decrease depending on the dilation factor. In contrast, translations, rotations, and reflections preserve the side lengths, keeping the figures congruent to their originals.

  3. Types of Movement: Translations, rotations, and reflections all involve moving figures across the coordinate plane in specific ways (sliding, rotating about a point, or flipping over a line, respectively). Dilation, on the other hand, involves resizing figures around a center point, which may or may not be the same as the center of rotation or reflection.

In summary, dilation transformations are unique in that they alter the size of figures while retaining their shape, while the other transformations (translations, rotations, reflections) maintain both size and shape but change the figures' position or orientation.

Where’s the answer

Sure! Here’s a concise answer that directly addresses how dilation transformations compare to translations, rotations, and reflections:

Dilation transformations are distinct from translations, rotations, and reflections in that they change the size of figures—either enlarging or shrinking them—while maintaining their shape (the proportions). In contrast, translations, rotations, and reflections do not alter the size or shape; they only change the position or orientation of the figures. Additionally, dilation transformations do not maintain the same side lengths, while translations, rotations, and reflections preserve side lengths, keeping figures congruent to their originals. Thus, dilation is the only transformation that alters size while all others maintain size and shape.

If you need a specific point or simplified summary, please let me know!

Whsts the answer thats not a option

The correct statement that does not match the options you provided is:

Dilation transformations make figures larger; translations shrink figures.

This statement is incorrect because translations do not change the size of figures at all; they only move them from one location to another without altering their dimensions.

If you have any other specific requirements or need further clarification, feel free to ask!