Varignon's Theorem

Move points A, B, C, or D to begin.
1) What are points E, F, G, and H? 2) What do the colors (red, blue . . . ) signify? 3) What is the yellow point tracing? 4) Why are the first two marked segments parallel? 5) Why are all three marked segments parallel? 6) What other relationships are there? 7) How small is the interior shape compared to quadrilateral ABCD? 8) What transformation maps a triangle like EBF or FCG from its starting position to its ending position?