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Acute, Obtuse, or Reflex Angles

Acute, Obtuse, or Reflex Angles
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2015-10-19 09:40
AngleTransformationGeometric Construction
In collections Primary School Mathematics Collection Self Assessment MCQs Collection
This example demonstrates interactive classification of acute, obtuse, and reflex angles. It involves core math concepts like angle classification, geometric construction, and transformation. Key GeoGebra commands and objects used include Point, Polygon, Sequence, Angle, Segment, Intersect, Circle, Vector, Translate, If. Suitable for middle school mathematics teaching or student self-exploration of geometric properties.

GeoGebra Commands & Parameters

  1. Point(Circle[I, 5]) → J
  2. Polygon(I, J, C, D, E, F, J, I) → poly1, a, b, c, d, e, f, b_1, a_1
  3. Sequence(((6 * cos(θ°)), (6 * sin(θ°))), θ, 0, 359) → list1
  4. Point(list1) → P_o
  5. Point(list1) → Q_o
  6. Angle(P_o, (0, 0), Q_o) → α
  7. Segment((0, 0), P_o) → g
  8. Segment((0, 0), Q_o) → h
  9. Intersect(g, h) → O
  10. Circle(O, (6, 0)) → c1
  11. Point(c1, Mod[pathparamPonc1 + 0.5, 1]) → P
  12. Angle(P_o, (0, 0), P) → α_1
  13. Segment((0, 0), P) → i
  14. Vector((0, 0), P) → u
  15. Translate(P, Vector[(0.1 * u)]) → P'
  16. If((α_1 > 0°) ∧ (α_1 ≤ 90°), 2, If[(α_1 ≥ 90°) ∧ (α_1 ≤ 180°), 3, If[(α_1 ≥ 90°) ∧ (α_1 < 360), 4, 1]]) → angletype
  17. If(SelectedIndex[listangletype] ≟ angletype, true, false) → choicecorrect