Center of Dilation Problem 1a

① This example demonstrates how to locate the center of dilation that maps one quadrilateral onto another, showing the correspondence of vertices under a scaling transformation. ② Key mathematical concepts include dilation (similarity transformation), scale factor, vertex correspondence of quadrilaterals, and proportional relationships in coordinate geometry. ③ Construction highlights: the Polygon command creates two quadrilaterals poly1 and poly2; points A, B, C, D, E, F and auxiliary objects c, a, b, f, d, e are defined to set up the figures, and a dilation tool or manual ratio is applied to produce the image. ④ Suitable for high‑school geometry units on transformations, similarity practice, and as a visual aid in undergraduate geometry courses.