In implementations of systems for generating candidate mirror snap points using determined axes of symmetry, a computing device implements a symmetry system to receive vector object data describing a set of points of a vector object. The symmetry system generates convex polygons that enclose the set of points and identifies a particular convex polygon that has a smallest area. A side of the particular convex polygon is determined as an axis of symmetry for the vector object. The symmetry system generates an indication for display in a user interface of a candidate snap point based on the axis of symmetry and a point of the set of points of the vector object.