Glide Reflection 294798

1. **Problem Statement:** Identify the reflection and translation components of the glide reflection shown and sketch the intermediate image. 2. **Understanding Glide Reflection:** A glide reflection is a composition of a reflection over a line followed by a translation along that line. 3. **Step 1: Identify the Reflection Line** - The reflection line is the axis over which the preimage is reflected to produce the intermediate image. - Since the arrow points from down-left to up-right, the reflection line is likely along this direction. 4. **Step 2: Reflect the Preimage** - Reflect the gray quadrilateral over the reflection line. - This produces the intermediate image (gray image at top-right). 5. **Step 3: Identify the Translation Vector** - The translation moves the reflected image along the reflection line. - The dashed orange arrow shows the direction and magnitude of this translation. 6. **Step 4: Translate the Reflected Image** - Translate the reflected image along the arrow direction to get the final orange image at bottom-right. 7. **Summary:** - Reflection: Over the line oriented from down-left to up-right. - Translation: Along the same line in the direction of the dashed orange arrow. 8. **Sketching the Intermediate Image:** - The intermediate image is the reflected gray quadrilateral at the top-right position before translation. **Final answer:** - Reflection line: diagonal from down-left to up-right. - Translation vector: along the same diagonal direction. This completes the glide reflection decomposition.