The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interva where her average rate of change was 2/3 meters per second.
Motion Detector Walk

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.