Similar Triangles Review 1: Rotation, Scaling, and Distance Measurement

①This GeoGebra example demonstrates the properties of similar triangles through dynamic geometry, focusing on how rotation and dilation (scaling) transformations preserve angle equality and side proportionality, with distance measurements displayed. ②Core math concepts include similar triangles, corresponding angles, proportional sides, rotation and dilation transformations, and the use of cosine rule in distance calculations. ③Construction details: The example uses GeoGebra commands such as Rotate to rotate a triangle, Angle to mark angles, Polygon to construct triangles, Dilate to scale, and Distance to measure side lengths; objects include A, B, C, α, t1, c, a, b, A', Y, X, t1', c', a', b', β, γ, δ, distanceCA, TextCA, distanceAB, TextAB, distanceBY, and TextBY. ④This is suitable for upper middle school or lower high school students reviewing similar triangles, and for teachers demonstrating the relationship between transformations and similarity in class.