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It is not good enough to stick a question mark after a phrase. If you have a question ask it properly.
The 50cm mark isn't necessarily the ruler's centre of mass where it will balance. If the ruler is not uniform (i.e. it has a hole in it) its centre of mass will not be exactly in the middle.
All congruent figures are similar figures, and have identical sizes.
3dimentional figures are solid figures.