Geometric Identification of Trig Ratios

This example demonstrates how to identify common trigonometric ratios by building a structured geometry diagram where angles and segment relationships reveal the corresponding sine/cosine/tangent ratios. The key concepts are angle measurement and labeling, orthogonality via perpendicular-line construction, and ratio-based relationships between relevant lengths that map directly to trig definitions. Construction highlights include: using GeoGebra commands Line and OrthogonalLine to create reference lines and perpendiculars; Point to place all critical vertices; Angle to mark and control the target angle(s); Polygon to form the geometric region/triangle-like configuration used for the ratio interpretation; and Midpoint to introduce symmetry or mid-segment structures that help establish the required proportional reasoning. The named points and angle variables (e.g., A, B, C, α, β, γ) along with constructed geometric objects (such as poly1) support the recognition of trig ratios from the diagram. Suitable for middle-to-high school and classroom instruction on trigonometry, especially for interactive lessons that connect trig definitions to geometric construction and proportional reasoning.