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The document contains various geometry problems related to reflections, translations, and transformations of shapes on the coordinate plane. Here's a summary of the questions:

1. **Reflection Problems:**
   - Reflect a rhombus over the x-axis.
   - Reflect a trapezoid over the y-axis.
   - Reflect a figure over the line \( y = 1 \).
   - Reflect a figure over the line \( x = 3 \).
   - Reflect points using a rule \( (x, y) \rightarrow (x, -y) \).

2. **Transformation Problems:**
   - Reflect Triangle DEF over the x-axis.
   - Reflect Triangle GHI over the y-axis.
   - Translate Triangle ABC by 4 units horizontally.
   - Translate Parallelogram DEFG horizontally and vertically.
   - Translate Triangle ABC with a specific coordinate rule \( (x, y) \rightarrow (x + 4, y - 3) \).

3. **Miscellaneous:**
   - Solve for an unknown variable \( x \).

If you have specific questions or need help with a particular problem, please let me know!

Would you like me to solve one of these problems in detail? Here are some suggestions:

1. Find the new coordinates for Triangle DEF reflected over the x-axis.
2. Determine the new coordinates for Triangle GHI after reflecting over the y-axis.
3. Solve for the new coordinates of Triangle ABC after a horizontal translation.
4. Translate Parallelogram DEFG by a specific rule and find its new coordinates.
5. Solve for the unknown variable \( x \) in the given equations.

**Tip:** For reflections, remember that reflecting over the x-axis changes the y-coordinate's sign, while reflecting over the y-axis changes the x-coordinate's sign.

The document contains various geometry problems related to reflections, translations, and transformations of shapes on the coordinate plane.

Practice solving 8th-grade geometry problems involving reflections and translations of shapes such as rhombuses, trapezoids, and triangles. Learn key concepts in coordinate geometry and transformations, including reflection over the x-axis and y-axis, and translation using coordinate rules.

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