Two Polygons: Midpoints, Segments, and Distance Ratios
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Drawings vs. Constructions
This GeoGebra example constructs two polygons and corresponding points to explore distances, midpoints, segments, ratios, and two-dimensional vector relationships. It uses Polygon to create poly1 and poly2, Point to define A, B, C, D, E, F, G, H, I, J, Midpoint and Segment for auxiliary lines, and Distance to compute distanceAD, distanceDB, distanceEB, distanceCE, distanceFI, distanceIG, distanceGJ, and distanceJH, with Text objects displaying the results. It is suitable for middle-school or high-school geometry warm-ups, coordinate geometry, and introductory vector or ratio investigations.
GeoGebra Commands & Parameters
Polygon(A, B, C) → poly1, c, a, bMidpoint(c) → DMidpoint(a) → ESegment(D, E) → dDistance(A, D) → distanceADDistance(D, B) → distanceDBDistance(E, B) → distanceEBDistance(C, E) → distanceCEPolygon(F, G, H) → poly2, h, f, gPoint(h) → IPoint(f) → JSegment(I, J) → eDistance(F, I) → distanceFIDistance(I, G) → distanceIGDistance(G, J) → distanceGJDistance(J, H) → distanceJH