Nuc is short for nucleus, which controls the whole cell and contains DNA. Flag is short for flagella, which helps move the cell. ER is short for endoplasmic reticulum, which processes proteins or lipids depending on the type of endoplasmic reticulum. Mito is short of mitochondrion, which produces ATP. Chlora is short for chloroplast, which produces energy through photosynthesis. Golgi is short for golgi apparatus, which packages products and sends them out to different parts of the cell. Ves is short for vesicles, which store and transport products though out the cell. Lys is short for lysosome, which break down waste in the cell. The autogenic hypothesis of the origin of eukaryotic cells is that over a long period of time, prokaryotic cells evolved into more complex cells which later became known as eukaryotic cells.
When research was done on this autogenic hypothesis it was found that it was inevitable that prokaryotes evolved into eukaryotes. The endosymbiotic hypothesis is that at one point prokaryotic cells ate other small organelles and then with that they evolved into what is now a eukaryotic cell. The evidence is that both of these types of cells are very similar they have similar structures and functions but they are also really different. The strengths of both of these hypotheses are that there is truth to both of them and it has been shown that in different cells under either hypothesis that there was some evolution from prokaryotes to eukaryotes, it just happened in a different way. The weaknesses are that in the endosymbiotic hypothesis there is not a clear explanation about how some of the organelles are from.