Are Triangles Congruent? Construction-Based Proof Task

This GeoGebra example demonstrates how to assess whether two triangles are congruent by guiding a construction-driven proof workflow. It focuses on congruence reasoning (e.g., SSS/SAS/ASA-style logic), using geometric relationships involving corresponding sides and midpoints, and verifying that the required measurements remain consistent. The construction relies on GeoGebra commands Segment, Line, Point, Midpoint, and Polygon to create triangle vertices and edges, generate a midpoint (for capturing symmetry or distance relations), build auxiliary lines as measurement references, and assemble triangles using Polygon so that congruence conditions can be checked. The objects named in the construction summary (e.g., points A, B, C, D, midpoint M, and additional auxiliary entities such as f, g, h, i, j, k, l) support the task of matching key geometric elements during the congruence assessment. Suitable for middle/high school geometry lessons, interactive practice, and classroom or assignment evaluation.