https://file.aiquickdraw.com/mathbot/file/17267393788083zvf7i1m.jpg

To solve this problem, we need to find the line of reflection that maps shape F onto shape G.

### Steps to solve:

1. **Analyze the Shapes**:
   - Both shapes, F and G, appear as identical but reflected versions of each other.
   - The center of shape F seems to be at around (6, 7) and the center of shape G around (6, 5).
   
2. **Determine the Line of Reflection**:
   - The line of reflection is the line that is equidistant between F and G.
   - Since the shapes seem to reflect vertically, we can hypothesize that the line of reflection will be horizontal.
   - The center of F is 2 units above the center of G, so the line of reflection should be 1 unit between these centers.

3. **Calculate the Line**:
   - The midpoint between (6, 7) and (6, 5) is at \( y = 6 \).
   - Therefore, the line of reflection is \( y = 6 \).

### Conclusion:
The equation of the line of reflection that transforms shape F into shape G is:
\[
y = 6
\]

Would you like more details or have any further questions?

### Related Questions:
1. How do you determine the line of reflection for shapes not aligned along the x- or y-axis?
2. Can the line of reflection be diagonal? If so, how would you find its equation?
3. What are the properties of reflection that help determine the line's position?
4. How can you check if two shapes are reflections of each other?
5. How does the equation of a line change if the reflection happens on a slanted grid?

**Tip**: When solving reflection problems, always look for symmetry between the shapes, as it helps in identifying the line of reflection.

Work out the equation of the line of reflection that transforms shape F into shape G.

Learn how to determine the equation of the line of reflection that transforms shape F into shape G on a coordinate plane. This problem involves understanding geometric reflections and calculating the midpoint between points on the grid. Suitable for students in Grades 6-8.

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