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Distance in the Coordinate Plane

Distance in the Coordinate Plane
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2015-10-02 01:29
TrigonometryCoordinate GeometryGeometric Construction
In collections A1.ACE.1 - Create and solve equations and inequalities Expressing Geometric Properties with Equations (GPE) Cluster
This applet visually demonstrates the distance formula in the coordinate plane, revealing its essence as an application of the Pythagorean Theorem. Key math concepts include the Pythagorean Theorem, coordinate geometry, and distance formula. It utilizes GeoGebra commands like Distance, SurdText, Segment, OrthogonalLine, Intersect, Angle, Polygon, and Midpoint. Suitable for high school students to understand the geometric basis and derivation of the distance formula.

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