To this day, Alzheimer's disease (AD) still has enormous consequences for patients and their relatives. In this doctoral thesis, Magnetic Resonance Imaging and Positron Emission Tomography have been used to better understand AD and the related syndromes. In our first study, we determined a Centiloid threshold of 26 as an optimal predictor of progression to dementia six years later. In our second study, we demonstrated an increase in default mode network connectivity in patients who had progressed towards dementia compared with stable patients. Finally, in our last study, a stronger association between tauopathy and cerebral hypometabolism correlated with younger age, poorer cognition, and higher amyloid and vascular burdens. These results suggest the existence of synergistic mechanisms between these two pathologies.