Rectangle, Quadratic & Circle Construction

Rectangle, Quadratic & Circle Construction
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2016-04-17 15:46
This example demonstrates the geometric construction of a combination involving rectangles, quadratic functions, and circles using GeoGebra. Key math concepts include coordinate geometry, quadratic functions, circle equations, and geometric constructions. The construction process utilizes commands and objects such as Point, Ellipse, Segment, Midpoint, Locus, and LocusEquation as outlined. Suitable for high school mathematics education to illustrate the relationships and dynamic interactions between functions and geometric shapes.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. Ellipse(A, B, C) → c
  5. Point(c) → D
  6. Segment(D, C) → a
  7. Midpoint(a) → E
  8. Locus(E, D) → loc1
  9. LocusEquation(E, D) → b