📚 Topic Summary
In 8th grade math, understanding rigid motions and dilations is key to mastering transformations. Rigid motions, like translations, rotations, and reflections, preserve the size and shape of a figure. Dilations, on the other hand, change the size but not the shape, creating similar figures. This practice sheet will help you solidify your understanding of these concepts.
🧠 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Translation |
A. A transformation that enlarges or reduces a figure. |
| 2. Rotation |
B. A transformation that flips a figure over a line. |
| 3. Reflection |
C. A transformation that slides a figure without changing its orientation. |
| 4. Dilation |
D. A transformation that turns a figure around a point. |
| 5. Rigid Motion |
E. A transformation that preserves size and shape. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words: congruent, similar, scale factor, orientation, image.
Rigid motions produce figures that are ________ to the original figure. Dilations produce figures that are ________ to the original figure. The ratio of the sides of the new figure to the original figure in a dilation is called the ________. Reflections can change the ________ of a figure. The result of a transformation is called the ________.
🤔 Part C: Critical Thinking
Explain, in your own words, the difference between a rigid motion and a dilation. Give an example of each.