Rotations Activity Intervention: Exploring Triangle Rotation and Similarity

① This GeoGebra example dynamically demonstrates the rotation of a triangle around a point (both counterclockwise and clockwise), producing new triangles and illustrating the relationships between original and rotated figures, corresponding sides, and angles. ② Core mathematical concepts include rotation transformation, rotation angle, similar triangles, linear regression (used to analyze linear relationships between coordinates of corresponding points after rotation), multiplication and LCM/GCD (possibly for exploring numerical patterns), and bar charts (for data visualization). ③ Construction highlights: Polygon is used to construct the original triangle, Intersect finds intersection points, Rotate generates rotated triangles (labeled CounterClockwise and Clockwise), Segment connects corresponding points, and Angle measures rotation angles; objects include A, B, C, t1, c, a, b, CounterClockwise, D, A', B', C', t1', c', a', b', Clockwise, Angle, A'', B'', C'', t1'_1, c'_1, a'_1, b'_1, f, g, h, δ, γ, text1, d, text2, e, text3, i. ④ Suitable for middle school to high school students learning geometric transformations, and for teachers to demonstrate rotation properties and similar triangle criteria in class, or as a math lab activity.