I am trying to import points from a shapefile in QGIS. First, I select the correct coordinate reference system (NAD83 / MTM zone 11) when importing the file, and it imports correctly. I even checked the coordinates of a known point, and it matches. However, when I add a map from Google Maps (XYZ Tiles) in the background, all the points are around 20 km off from where they are supposed to be.
From what I understand, it seems that there is a problem when QGIS converts between the different CRS. However, from what I read, it seems that QGIS should do the conversions on the fly and automatically. What should I do to fix this?
If it is any uses, my project CRS is NAD83 / MTM zone 11 (the same as my data), and my QGIS version is 3.2.0