polyline creation - How to create transects from polygon centroid?

I have mapped potential study sites using polygons. What I want to do is create 9 125m transects spaced 75m apart. The center point of the middle transect needs to be the centroid of the polygon. Do you any idea how to do this? I have already created a new shapefile with just the centroid points of each location, but have been unable to figure out how to make transects from that point with it being the center of a line.

Thank you very much!