Equation of perpendicular bisector (AI SL 3.5)

Keywords
[br][table][br][br][tr][br][td]Perpendicular bisector[/td][br][td]垂直二等分線[/td][br][td]수직 이등분선[/td][br][td]垂直平分线[/td][br][/tr][br][tr][br][td]Equation[/td][br][td]方程式[/td][br][td]방정식[/td][br][td]方程[/td][br][/tr][br][tr][br][td]Midpoint[/td][br][td]中点[/td][br][td]중점[/td][br][td]中点[/td][br][/tr][br][tr][br][td]Gradient[/td][br][td]勾配[/td][br][td]기울기[/td][br][td]梯度[/td][br][/tr][br][tr][br][td]Two points[/td][br][td]二点[/td][br][td]두 점[/td][br][td]两点[/td][br][/tr][br][tr][br][td]Line segment[/td][br][td]線分[/td][br][td]선분[/td][br][td]线段[/td][br][/tr][br][tr][br][td]Geometry[/td][br][td]幾何学[/td][br][td]기하학[/td][br][td]几何[/td][br][/tr][br][tr][br][td]Slope[/td][br][td]傾斜[/td][br][td]경사[/td][br][td]斜率[/td][br][/tr][br][tr][br][td]Perpendicular line[/td][br][td]垂直線[/td][br][td]수직선[/td][br][td]垂直线[/td][br][/tr][br][/table][br]
[table][br][tr][br][td][b]Factual Questions[/b][/td][br][td][b]Conceptual Questions[/b][/td][br][td][b]Debatable Questions[/b][/td][br][/tr][br][tr][br][td]How is the midpoint of a line segment between two points in a plane calculated?[/td][br][td]Why is the concept of the perpendicular bisector important in geometry?[/td][br][td]To what extent does the ability to calculate and understand the properties of a perpendicular bisector contribute to the field of geometric design?[/td][br][/tr][br][tr][br][td]What is the process to find the gradient of a line segment based on two given points?[/td][br][td]How does the perpendicular bisector relate to the concepts of symmetry and balance in a geometric figure?[/td][br][td]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?[/td][br][/tr][br][tr][br][td]How do you derive the equation of a perpendicular bisector from the midpoint and gradient of a line segment?[/td][br][td]What role does the gradient play in defining the orientation of a line in a plane?[/td][br][td]How might the understanding of perpendicular bisectors influence the approach to solving real-world problems in engineering and architecture?[/td][br][/tr][br][/table][br]
Equation of a perpendicular bisector
Objective:[br]To calculate the equation of perpendicular bisector. Given either two points, or the equation of a line[br]segment and its midpoint.[br]
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)