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Angles in a Cyclic Quadrilateral

Angles in a Cyclic Quadrilateral
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2019-03-28 19:58
CirclePolygonAngle
In collections Geometry workbook
This example demonstrates the angle relationships in a cyclic quadrilateral. Key mathematical concepts include the properties of cyclic quadrilaterals, particularly that opposite angles are supplementary. Construction highlights include using the Circle command to create a circle, Point to add points, Polygon to draw the quadrilateral, and Angle to measure angles. Suitable for middle school and above students to learn geometric construction and properties of cyclic quadrilaterals.

GeoGebra Commands & Parameters

  1. Circle(Z, 4) → c
  2. Point(c) → A
  3. Point(c) → B
  4. Point(c) → C
  5. Point(c) → D
  6. Polygon(A, D, C, B) → q1, a, d, c_1, b
  7. Angle(B, A, D) → α
  8. Angle(A, D, C) → β
  9. Angle(D, C, B) → γ
  10. Angle(A, B, C) → δ