Proving Triangles Similar Using Geometric Transformations (Exercise 1) (1)

① This example demonstrates how to prove two triangles are similar by mapping one onto the other using geometric transformations such as translation, rotation, reflection, and dilation. ② The core mathematical concepts include similarity criteria for triangles and the properties of transformations that preserve angles and ratios, with applications of trigonometric functions like sine and tangent in angle calculations. ③ Construction highlights: based on the construction summary, the GeoGebra commands used include Ray, Rotate, Angle, Point, Segment, Polygon, Line, and Intersect, creating multiple triangles (poly1, poly2) and auxiliary lines, and constructing corresponding points via rotations and dilations. ④ This is suitable for high school geometry students learning similarity and transformations, and for teachers to demonstrate the connection between transformations and similarity in class.