Reflections Page 2: Interactive Exploration of Reflection, Pythagoras, and More
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① This GeoGebra example demonstrates the properties of reflection transformations on plane figures, integrated with the Pythagorean theorem, cylinders, function graphs, fractal geometry, and inequalities in a single interactive page. ② Core mathematical concepts include reflection (axial symmetry), the Pythagorean theorem, polygon area relationships, function graphs with inequality regions, and introductory fractal geometry. ③ Construction highlights: the Polygon command creates polygon poly1, the Intersect command finds point D, and three text fields (InputBox1, InputBox2, InputBox3) allow users to dynamically input values, observing how reflected figures and numerical relationships change. ④ Suitable for upper secondary to early university students, this page serves as a dynamic teaching tool for geometric transformations and algebra-geometry connections, and as a reference for educators designing interactive math experiments.
GeoGebra Commands & Parameters
Polygon(A, B, C) → poly1, c, a, bTextfield(A) → InputBox1Textfield(B) → InputBox2Textfield(C) → InputBox3Intersect(xAxis, yAxis) → D