Does the mitochondrion perform photosynthesis?

No. They are the "powerhouses" of the cell and provide energy by producing ATP. Chloroplast in plants preform photosynthesis.

No. Photosynthesis occurs in cell organelles termed as the chloroplasts. Mitochondria is the cell organelle where energy is produced by oxidation of molecules such as sugars produced during photosynthesis. Cellular respiration occurs in mitochondrion.