A method of forming a ceramic matrix composite (CMC) vane comprises drawing a continuous fiber sheet over at least one contoured surface to form a single-folded sheet. The single-folded sheet comprises an airfoil portion, a first platform at a first end of the airfoil portion, and an integral transition region between the airfoil portion and the first platform. The method further comprises mounting the airfoil portion on a mandrel, attaching a second platform to a second, opposing end of the airfoil portion to form a vane preform, and densifying the vane preform.