I'm unable to draw images directly, but I can help you outline the steps or describe how to create the geometric figure based on your description.

### Steps to Draw the Figure:

1. **Draw Triangle ABC**:
- Start by drawing triangle ABC with vertices A, B, and C.

2. **Draw Line Segment AB**:
- Draw line segment AB at the base of the triangle.

3. **Construct Point D**:
- Mark the midpoint M on the segment AC, and draw the line segment AM.

4. **Draw Perpendiculars**:
- From point D, draw a perpendicular line to AC. This represents the line AF (perpendicular to AC).

5. **Define Point E**:
- Mark point E along the segment AC.

6. **Construct Point F**:
- Draw segment EF such that EF is also perpendicular to AC and meets the line segment at point F.

7. **Verify the Properties**:
- Make sure to label points clearly and indicate where angles are right angles.

### Labels:
- Label the points A, B, C, D, E, and F accordingly.
- Highlight where the perpendicular segments are.

By following these steps, you can create the required geometric figure. If you need further assistance with the properties or calculations, feel free to ask!