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Square Template (Scaffolded Investigation)

Square Template (Scaffolded Investigation)
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2016-09-19 08:31
PolygonCoordinate GeometryGeometric Construction
In collections Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Unit 7: Polygons and Quadrilaterals
This example demonstrates the geometric properties and construction methods of a square. Core math concepts include square properties, coordinate geometry, and geometric construction. Construction highlights involve GeoGebra commands like Segment, Circle, OrthogonalLine, Intersect, Angle, Midpoint, Polygon, and Mirror. Suitable for middle school and above students to assist in understanding square-related theorems and construction techniques, or for special education purposes.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. OrthogonalLine(A, a) → b
  4. Intersect(c, b, 2) → D
  5. OrthogonalLine(D, b) → d
  6. OrthogonalLine(B, a) → e
  7. Intersect(d, e) → C
  8. Segment(A, D) → f
  9. Segment(D, C) → g
  10. Segment(C, B) → h
  11. Angle(C, B, A) → α
  12. Angle(B, A, D) → β
  13. Angle(A, D, C) → γ
  14. Angle(D, C, B) → δ
  15. Midpoint(A, C) → E
  16. Segment(A, E) → i
  17. Segment(E, C) → j
  18. Segment(E, B) → k
  19. Segment(E, D) → l
  20. Angle(E, C, B) → ε
  21. Angle(D, C, E) → ζ
  22. Angle(E, D, C) → η
  23. Angle(A, D, E) → θ
  24. Angle(B, A, E) → ι
  25. Angle(E, B, A) → κ
  26. Angle(C, B, E) → λ
  27. Angle(E, A, D) → μ
  28. Angle(B, E, C) → ν
  29. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  30. Mirror(A, b_1) → A'
  31. Mirror(B, b_1) → B'
  32. Mirror(C, b_1) → C'
  33. Polygon(A', B', C') → poly1', c', a', b'
  34. Polygon(A, D, B) → poly2, b_2, a_2, d_1
  35. Mirror(A, k) → A'_1
  36. Mirror(D, k) → D'
  37. Mirror(B, k) → B'_1
  38. Polygon(A'_1, D', B'_1) → poly2', b'_1, a'_1, d'
  39. Polygon(A, B, C, D) → poly3, a_3, b_3, c_2, d_2