Exploring Line Reflections in the Coordinate Plane by Tim Brzezinski (2)

Create a coordinate-plane diagram illustrating geometric symmetry via transformations centered at point A. Start with a base figure determined by points A, B, and C, then construct a translated copy of the figure. Next, rotate the relevant point(s) around A by a controllable angle δ and draw circles and circle arcs involving A, C, and the rotated point(s) to show corresponding curved loci. Define a mirror line through points F and G, reflect the entire constructed figure across this line to obtain the mirrored configuration. Finally, apply a dilation about A with scale factor k to the base points, keeping the associated circle/arc relationships visible, so the symmetry and transformation correspondences are clear.