Tangent at a Point Construction

Tangent at a Point Construction
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2014-06-10 04:33
This example demonstrates drawing and proving the tangent line at a point on a circle using GeoGebra. Key math concepts include circle, tangent, radius, symmetry, and derivative geometry. Construction involves commands like Circle, Point, Segment, Tangent, Rotate, focusing on radius OB, tangent PA, and rotational symmetry. Suitable for high school mathematics teaching on tangent properties and coordinate geometry constructions.

GeoGebra Commands & Parameters

  1. Circle(O, Radius) → c
  2. Point(c) → A
  3. Segment(O, A) → OB
  4. Tangent(A, c) → a,
  5. Rotate(O, 90*°, A) → Q
  6. Rotate(O, -90*°, A) → P