| Factual Questions | Conceptual Questions | Debatable Questions |
| How is the midpoint of a line segment between two points in a plane calculated? | Why is the concept of the perpendicular bisector important in geometry? | To what extent does the ability to calculate and understand the properties of a perpendicular bisector contribute to the field of geometric design? |
| What is the process to find the gradient of a line segment based on two given points? | How does the perpendicular bisector relate to the concepts of symmetry and balance in a geometric figure? | Can knowing how to construct perpendicular bisectors and other geometric constructions by hand improve one's spatial reasoning and mathematical problem-solving skills compared to only using digital tools? |
| How do you derive the equation of a perpendicular bisector from the midpoint and gradient of a line segment? | What role does the gradient play in defining the orientation of a line in a plane? | How might the understanding of perpendicular bisectors influence the approach to solving real-world problems in engineering and architecture? |
