It's because they are quadrilaterals.
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squares
yes if it is a square. squares are rectangles with their 4 sides and 4 right angles, but rectangles are not squares without 4 equal sides
Yes, by definition. All squares have 4 right angles and 4 sides of equal length.
A square has 4 sides therefore 3 squares from 12 toothpicks will simply be three unconnected squares
Yes, because all squares have four equal sides.