https://file.aiquickdraw.com/mathbot/file/172858351513876i9ytve.jpg

To plot the midpoints of the dotted lines shown in the image, we can follow this process:

1. **Identify the coordinates** of the endpoints of the dotted lines (the lines connecting corresponding points on the pink and blue triangles).
   
2. **Calculate the midpoint** of each dotted line using the midpoint formula:
   \[
   M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
   \]
   where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the endpoints of each dotted line.

3. **Plot the midpoints** on the graph.

### Midpoint Calculation for Each Line:
- For the three pairs of corresponding points (one on the pink triangle and one on the blue triangle):
  1. Find the coordinates of each corresponding point.
  2. Use the midpoint formula for each pair to find the midpoint.
  3. Plot these midpoints on the graph.

Once all midpoints are plotted, these points will lie on the line of reflection. The line of reflection is the line that maps the pink triangle onto the blue triangle.

If you can provide the coordinates, I can walk you through the calculation of each midpoint.

Would you like help with this, or do you want more details on the method? Here are some follow-up questions that could help clarify:

1. Do you need assistance with calculating the midpoints of the points?
2. Would you like a step-by-step breakdown of the reflection process?
3. Do you need clarification on the midpoint formula?
4. Would you like to explore how the reflection line is related to symmetry?
5. Do you need help identifying the endpoints of the dotted lines?

**Tip:** The midpoint of a line segment is always equidistant from both endpoints, making it a crucial step in reflecting shapes across a line.

Plot the midpoints of all the dotted lines to create the line of reflection that would map the pink figure onto the blue figure.

Learn how to plot the midpoints of dotted lines between two triangles to find the line of reflection on a coordinate plane. Use the midpoint formula to calculate midpoints and visualize symmetry in geometry. Suitable for Grades 8-10.

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