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Collinearity of Three Points Demo

Collinearity of Three Points Demo
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2020-12-21 16:15
VectorCoordinate GeometryGeometric Construction
In collections COORDINATE GEOMETRY
This example demonstrates how to dynamically determine if three points are collinear using GeoGebra. It involves core math concepts like collinearity conditions, coordinate geometry, and vectors. Construction highlights include using commands Segment, Mode, If to create points A, B, C and auxiliary lines l1, l2, with objects m_1, m_2 for judgment. Suitable for high school mathematics teaching to understand collinearity theorems and geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Mode(l1) → l2
  4. If(l2 ≟ {}, "Try Again", "Correct . Collinear ") → text1

AI Drawing Prompt Reference

Create a dynamic geometry diagram to check collinearity of three points. Place three points A, B, and C in the plane, draw segment AB and segment BC as the two defining connections, and include auxiliary constructions that represent a comparison of the corresponding lines or geometric condition. Use a mode-style setting to switch how the auxiliary line(s) are determined, and add a status text that shows “Try Again” when the condition is not satisfied and “Correct . Collinear ” when it is satisfied.
The prompt above was compiled from the original drawing commands and is for reference only.