Summing Line Segments Explanation

The segments GH and AB are congruent because they were copied using the radius of a circle. The same can be said about CD and HI as well as EF and IJ. points G, H, I and J are collinear because they are on the same ray. The segments GH, HI and IJ are adjacent because they meet at a vertex. Therefore |GJ| = |AB| + |CD| + |EF|