Midpoint Theorem in a Pentagon via Vectors

2015-03-01 01:03
This GeoGebra applet demonstrates a geometric property of midpoints in an arbitrary pentagon. Given pentagon ABCDE, let F, G, H, I be midpoints of AB, BC, DE, AE. Connecting FH and GI with midpoints M and N, it verifies MN is parallel to CD and MN = 1/4 CD. It illustrates vector addition in geometry.