In the diagram, segments bg, cf, and de are parallel. the length of segment bd is 6.32 feet, and the length of segment de is 6 feet. name all pairs of similar triangles in the diagram. then find the l; ength segments bg and cf.

Similar triangles are triangles with equal corresponding angles and proportionate sides. Thus the pair of similar triangles will be:
Δ ADE≈ΔACF≈Δ ABG
this implies that the corresponding angles are equal. Thus:
∠B=∠C=∠D
∠G=∠F=∠E
and the ratio of corresponding sides are equal