H Rectangle Construction

H Rectangle Construction
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2016-07-18 23:53
This example demonstrates how to construct an H rectangle and illustrates its relationship with vectors, curve sketching, geometric mean, and secant lines. The core math concepts involved include vectors, geometric construction, coordinate geometry, geometric mean, and secant lines. The construction uses GeoGebra commands/objects such as Segment (line segment), OrthogonalLine (perpendicular line), Point (point), Line (line), Intersect (intersection), and Polygon (polygon). It is suitable for high school and above learners to understand the comprehensive application of vectors, geometric construction, and coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. Point(g) → C
  4. Line(C, f) → h
  5. OrthogonalLine(A, f) → i
  6. Intersect(i, h) → D
  7. Polygon(A, B, C, D) → poly1, a, b, c, d