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Explore Properties of Perpendicular Bisectors

Explore Properties of Perpendicular Bisectors
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2019-03-23 01:23
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to explore the properties of perpendicular bisectors using GeoGebra. Key math concepts include line segments, tangent functions, sine, and polygons. Construction highlights the use of commands like Mirror, Segment, Point, LaTeX, and Polygon. Suitable for high school mathematics instruction and geometric construction learning.

GeoGebra Commands & Parameters

  1. Mirror(A, yAxis) → B
  2. Segment((x(Midpoint[A, B]), bottom), (x(Midpoint[A, B]), top)) → perpendicularSegment
  3. Point(perpendicularSegment) → P
  4. Segment(P, B) → rightDiagonal
  5. Segment(P, A) → leftDiagonal
  6. Segment(A, Mid) → leftBaseLine
  7. Segment(B, Mid) → rightBaseLine
  8. LaTeX((((("\text{" * MainInstruc) * "\\") * SpecInstruc) * "}")) → FullInstruc
  9. Polygon({(left, bottom), (left, top), (right, top), (right, bottom)}) → viewbox