No. Half a centimetre is not the same size as half a kilometre.
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they can be any size but have to be the same shape
Density of the substance will always stay the same. Density of the object will also stay the same if solid, no matter the size, but not if it is carved out. That is why a steel boat can float
The area of qa triangle is always half of the area of a rectangle with the same dimensions
Yes.
Figures that have the same shape but not size are similar. Figures that have the same size are congruent.