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Distance in the Coordinate Plane (Quiz With Grid)

Distance in the Coordinate Plane (Quiz With Grid)
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2015-10-02 01:50
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates calculating the distance between any two points with integer coordinates (randomly generated) in the coordinate plane. Core math concepts include coordinate geometry, distance formula, and Pythagorean theorem. Construction highlights the use of GeoGebra commands/objects like Distance, SurdText, Segment, OrthogonalLine, Intersect, Angle, Polygon, and Midpoint. Suitable for middle school and above students learning coordinate geometry distance calculation.

GeoGebra Commands & Parameters

  1. Distance(A, B) → a
  2. SurdText(a) → text1
  3. Segment(B, A) → b
  4. OrthogonalLine(B, c) → d
  5. Intersect(e, d) → C
  6. Segment(B, C) → f
  7. Segment(C, A) → g
  8. Angle(A, C, B) → α
  9. Polygon(B, C, A) → poly1, a_1, b_1, c_1
  10. Midpoint(b) → E