Equation of perpendicular bisector (AI SL 3.5)

Keywords
Perpendicular bisector 垂直二等分線 수직 이등분선 垂直平分线
Equation 方程式 방정식 方程
Midpoint 中点 중점 中点
Gradient 勾配 기울기 梯度
Two points 二点 두 점 两点
Line segment 線分 선분 线段
Geometry 幾何学 기하학 几何
Slope 傾斜 경사 斜率
Perpendicular line 垂直線 수직선 垂直线
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?
Equation of a perpendicular bisector
Objective: To calculate the equation of perpendicular bisector. Given either two points, or the equation of a line segment and its midpoint.
Lesson plan - Equation of a Perpendicular Bisector
Equation of perpendicular bisector- Intuition pump (thought experiments and analogies)

Information: Equation of perpendicular bisector (AI SL 3.5)