Internal Ratios of Similar Triangles

This GeoGebra example demonstrates the internal proportional relationships within similar triangles, illustrating how corresponding segments divide sides in equal ratios under similarity. Core mathematical concepts include similar triangles, internal division ratios, angle rotation, perpendicularity, segment proportionality, and polygon area relationships. The construction uses GeoGebra commands such as Ray, OrthogonalLine, Point, Rotate, Angle, Intersect, Segment, and Polygon, with objects including points A, B, C, D, E, F, polygons poly1 and poly2, and angle parameters α, β, γ, δ. It is suitable for high school geometry instruction, classroom demonstrations of similarity transformations, and independent inquiry into ratio and proportion.