Rotating a Point 180° About the Origin in GeoGebra

This example shows the dynamic construction of the image point A obtained by rotating point P 180 degrees about the origin. It covers core concepts such as point symmetry, rotation transformations, and vector representation in coordinate geometry. The construction uses the GeoGebra Text command for annotations, defines points P, Q, A and text objects text1, text2, text3, and employs vector a to express the displacement. Suitable for middle‑school geometry transformation lessons, high‑school analytic geometry review, and teacher‑created instructional demos.