Translation of a Triangle by Kenneth Myers
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①This example demonstrates how to translate a triangle by a vector, producing a congruent triangle at a new position. ②Core math concepts include translation transformation in plane geometry, vectors, congruence, and the relationship between corresponding vertices and sides. ③Construction highlights: using GeoGebra commands Polygon to create triangle ABC, Vector to define translation vector u, and Translate to move the entire triangle (including its sides and vertices) to form A'B'C', while keeping the original figure and vector visible. ④Suitable for middle school geometry or introductory high school vector lessons, helping students intuitively grasp the definition and properties of translation and the role of vectors in geometric transformations.
GeoGebra Commands & Parameters
Polygon(A, B, C) → poly1, c, a, bIntersect(xAxis, yAxis) → DVector(D, E) → uTranslate(A, u) → A'Translate(B, u) → B'Translate(C, u) → C'Polygon(A', B', C') → poly1', c', a', b'