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Yes
sometimes
Sometimes they are.
sometimes
Never
Yes
sometimes
Sometimes they are.
Parallelograms are squares is sometimes true. Squares are parallelograms is always true. Rhomboids are parallelograms is also always true. So not all parallelograms are squares but some are.
sometimes
Sometimes similar but it depends
sometimes
Never
Sometimes.
Two regular octagons are always similar because they have equal angles and all sides are congruent. This means that they have the same shape, just different sizes.
If they are congruent they must be similar.
Some parallelograms are squares - the ones which are equiangular (have equal angles) and are equilateral (have equal side lengths). All squares are parallelograms, but only some parallelograms are squares.