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Finding the Equation of the Line of Symmetry of an Isosceles Triangle

Finding the Equation of the Line of Symmetry of an Isosceles Triangle
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2019-05-30 19:28
TriangleCoordinate GeometryGeometric Construction
This example demonstrates how to find the equation of the line of symmetry of an isosceles triangle using GeoGebra. Key math concepts include symmetry, coordinate geometry, and geometric construction. Construction highlights: Utilizes GeoGebra commands like Intersect, Point, Segment, Polygon, and Angle to build the isosceles triangle and determine its symmetry line. Suitable for high school mathematics education, helping students understand the geometric meaning and algebraic representation of symmetry axes.

GeoGebra Commands & Parameters

  1. Intersect(f, g) → D
  2. Point(Circle[D, a]) → B
  3. Segment(D, B) → h
  4. Point(Circle[D, a]) → C
  5. Segment(D, C) → i
  6. Segment(C, A) → j
  7. Segment(A, B) → k
  8. Segment(Point[f], B) → l
  9. Polygon(A, B, C) → t1, c, a_1, b
  10. Angle(g, h) → α