Ellipse Symmetry

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2015-10-22 00:41

Coordinate Geometry Geometric Construction

This example demonstrates the symmetry of an ellipse. It involves concepts of ellipse equations and similar triangles. By constructing an ellipse, midpoints, lines, and intersections, the geometric properties of the ellipse are illustrated. Commands used include Ellipse, Midpoint, Line, and Intersect. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

Ellipse(A, B, C) → c
Midpoint(A, B) → D
Line(D, C) → a
Intersect(c, a) → E, F
Midpoint(C, F) → G
Prove(b) → d