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Circle Terms and Constructions

Circle Terms and Constructions
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2017-05-31 22:09
CircleCoordinate GeometryGeometric Construction
This example demonstrates basic circle terms and geometric constructions. It involves core math concepts like circles, triangles, coordinate geometry, and trigonometry. The construction uses commands such as Polygon, Circle, Point, Segment, along with sliders and dynamic objects to illustrate relationships. Suitable for middle school and above students learning circle geometry and analytical methods.

GeoGebra Commands & Parameters

  1. Polygon((6.5, 4), (8.5, 4), (8.5, 0), (6.5, 0)) → TermBox, f, g, h, i
  2. Circle(O, r) → Circ
  3. Point(Circle[O, r]) → A
  4. Segment(O, A) → Rad
  5. Segment(((-r), 0), (r, 0)) → Diam
  6. Polygon(Point1, Point1 + (2, 0), Point1 + (2, -0.75), Point1 + (0, -0.75)) → DragBox1, point1, j, k, l
  7. Polygon(Point2, Point2 + (2, 0), Point2 + (2, -0.75), Point2 + (0, -0.75)) → DragBox2, point2, m, n, p
  8. Polygon(Point3, Point3 + (2, 0), Point3 + (2, -0.75), Point3 + (0, -0.75)) → DragBox3, point3, q, s, t
  9. Polygon((-5, 2), (-3, 2), (-3, 1), (-5, 1)) → AnsBox2, d, e, f_1, g_1
  10. Polygon(Point4, Point4 + (2, 0), Point4 + (2, -0.75), Point4 + (0, -0.75)) → DragBox4, point4, a, b, c
  11. Polygon((3, 3), (5, 3), (5, 2), (3, 2)) → AnsBox4, h_1, i_1, j_1, k_1
  12. Polygon((-5, -2), (-3, -2), (-3, -3), (-5, -3)) → AnsBox1, l_1, m_1, n_1, p_1
  13. Polygon((3, -1), (5, -1), (5, -2), (3, -2)) → AnsBox3, q_1, r_1, s_1, t_1
  14. Segment((-3, -2), ArrowPoint1) → Arrow1
  15. Segment(ArrowPoint3, (3, -1)) → Arrow3
  16. Segment((3, 2), ArrowPoint4) → Arrow4
  17. Segment((-3, 1), ArrowPoint2) → Arrow2
  18. Polygon((-5, 2), (-3, 2), (-3, 1), (-5, 1)) → AnsBox2Fill, e_1, f_2, g_2, h_2
  19. Polygon((-5, -2), (-3, -2), (-3, -3), (-5, -3)) → AnsBox1Fill, a_1, b_1, c_1, d_1
  20. Polygon((3, -1), (5, -1), (5, -2), (3, -2)) → AnsBox3Fill, i_2, j_2, k_2, l_2
  21. Polygon((3, 3), (5, 3), (5, 2), (3, 2)) → AnsBox4Fill, m_2, n_2, p_2, q_2