📚 Topic Summary
A glide reflection is a transformation that combines a translation (a slide) and a reflection over a line parallel to the direction of the translation. Imagine sliding a figure across a plane and then flipping it over. The order doesn't matter; you can reflect first, then slide, and you'll get the same result. The key is that the line of reflection must be parallel to the direction of the translation.
Understanding glide reflections involves recognizing their components: the translation vector and the line of reflection. Practice identifying these in different scenarios to master the concept. Let's get started with some practice!
🧠 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Translation |
a. A transformation that flips a figure over a line. |
| 2. Reflection |
b. A transformation that slides a figure along a vector. |
| 3. Glide Reflection |
c. The original figure before a transformation. |
| 4. Image |
d. A transformation that combines a translation and a reflection over a parallel line. |
| 5. Preimage |
e. The new figure after a transformation. |
✍️ Part B: Fill in the Blanks
A glide reflection is a combination of a __________ and a __________. The line of __________ must be __________ to the direction of the __________. The order of these transformations __________ matter.
🤔 Part C: Critical Thinking
Describe a real-world example of a glide reflection. Explain how the translation and reflection components are present in your example.