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HL Postulate Exploration

HL Postulate Exploration
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2015-11-03 02:28
TriangleCircleGeometric Construction
In collections Triangle Congruence
This example demonstrates how to use GeoGebra to explore the HL Postulate (Hypotenuse-Leg Theorem for right triangles). It involves core mathematical concepts such as triangles, circles, angles, and geometric construction. Key construction steps include using segment, orthogonal line, point, angle, circle, and polygon tools. Suitable for high school mathematics teaching and geometry learning.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(B, a) → b
  3. Point(b) → C
  4. Segment(A, C) → c
  5. Segment(C, B) → d
  6. Angle(A, B, C) → α
  7. Point(Circle[D, Length[a]]) → E
  8. Segment(D, E) → e
  9. OrthogonalLine(E, e) → f
  10. Point(f) → F
  11. Circle(D, Length[c]) → g
  12. Point(g) → G
  13. Segment(E, F) → h
  14. Segment(D, G) → i
  15. Angle(D, E, F) → β
  16. Polygon(D, E, G) → poly1, g_1, d_1, e_1