Exterior Angles Sum to 360° Animation
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This GeoGebra animation dynamically demonstrates that the sum of exterior angles of any polygon always equals 360 degrees. By moving polygon vertices, it visually illustrates the relationship between exterior and interior angles. Mathematical concepts include polygon exterior angle properties, angle measurement, and geometric transformations. Construction uses GeoGebra commands such as Point, Segment, Polygon, Vertex, Sequence, Ray, and Angle, involving vertex coordinates, sides, polygon objects, angle measurement, sequence generation, and ray construction. Suitable for middle and high school geometry education, helping students understand the exterior angle sum property and develop spatial intuition through dynamic interaction.
GeoGebra Commands & Parameters
Point(Circle[A, len]) → BSegment(A, B) → aPolygon(A, B, Sides) → poly1, c, D, E, F, G, H, a_1, b, d, e, f, g, h, CVertex(poly1) → points_1, points_2, points_{11}, points_{12}, points_3, points_4, points_5, points_6, points_7, points_8, points_9, points_{10}Sequence(Ray[Element[list1, i], Element[list1, i + 1]], i, 1, Sides - 1) → list2Ray(Element[list1, Sides], Element[list1, 0]) → iRay(Element[list1, Sides], Element[list1, 1]) → jSequence(Angle[Element[list2, i], Element[list2, i + 1]], i, 1, Sides - 1) → list3Angle(Element[list2, Sides - 1], j) → αAngle(j, Element[list2, 1]) → β