MathPlotAI Logo MathPlotAI

Perpendicular Bisector Example

Perpendicular Bisector Example
Loading the math board and drawing, please wait…
2014-11-03 22:43
Coordinate GeometryInequalityGeometric Construction
In collections PARCC Math I Unit 5 Lesson 5
This example demonstrates the properties of a perpendicular bisector: any point on the bisector is equidistant from the endpoints of the segment. It involves core concepts like perpendicular bisectors, distance formulas, coordinate geometry, and inequalities. Constructed using commands such as Point, Polygon, Line, Segment, Angle, Vector, Distance, and TableText, suitable for high school coordinate geometry instruction or geometric construction practice.

GeoGebra Commands & Parameters

  1. Point(xAxis) → F
  2. Polygon((x(F), y(Corner[1])), Corner[2], Corner[3], (x(F), y(Corner[4]))) → poly1, c, d, e, f
  3. Point(yAxis) → G
  4. Point(xAxis) → J
  5. Line(G, B) → a
  6. Segment(J, C) → b
  7. Segment(J, G) → h
  8. Segment(G, C) → i
  9. Angle(C, B, G) → α
  10. Vector((x(G) - x(J), y(G) - y(J)) / sqrt((y(G) - y(J))^(2) + (x(G) - x(J))^(2))) → dirAD
  11. Vector((x(G) - x(C), y(G) - y(C)) / sqrt((y(G) - y(C))^(2) + (x(G) - x(C))^(2))) → dirCD
  12. Distance(A1, A2) → distanceA1A2
  13. Distance(C, C1) → distanceCC1
  14. Point(a) → D
  15. Point(b) → A
  16. Segment(A, D) → g
  17. Segment(D, C) → j
  18. TableText({{"4x-1", "x+11"}, {"-x+1", "=", "-x+1"}, {"3x", "=", "12"}}, "c_0010") → table4
  19. TableText({{"AD", "DC"}, {"4x-1", "x+11"}}, "c") → table3
  20. TableText({{text5al, "=", text5ar}, {"x", "=", "4"}}, "c") → table5
  21. Point(xAxis) → T8