Yes, in addition to vertical and horizontal folds, a square can be folded along its diagonals. The two halves will overlap perfectly, and these diagonal folds also create two additional lines of symmetry.
Class 6 Mathematics Ganita Prakash Symmetry
Class 6 Mathematics Chapter 9 Symmetry question answer
A square can be folded in multiple ways to create symmetrical halves. Besides vertical and horizontal folds, folding the square along its diagonals divides it into two congruent triangles. These diagonal folds form two additional lines of symmetry. The square is unique in that it has four lines of symmetry in total: two diagonals, one vertical, and one horizontal. Each fold produces mirrored halves, making the square one of the most symmetrical shapes in geometry.
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/