Q: Why can all squares be classified as parallelograms but not all parallelograms can be classified as squares?

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Yes. All squares are parallelograms but not all parallelograms are squares.

No because all quadrilaterals are 4 sided shapes which includes parallelograms, trapezoids, squares, rectangles, kites......etc

No shape is a square but not a parallelogram as all squares are parallelograms: All parallelograms have opposite sides parallel and of equal length, and opposite angles are equal. All squares have opposite sides that are parallel and of equal length, and opposite angles are equal; thus all squares are parallelograms. However, all squares also have all angles equal to 90o and all four sides equal, but some parallelograms have angles not all 90o and/or not all four sides of equal length; thus not all parallelograms are squares.

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.

All squares are parallelograms

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False! Squares are parallelograms. Parallelograms can be squares or rectangles or neither.

Yes all squares are parallelograms but not all parallelograms are squares.

All squares are parallelograms, but all parallelograms are not squares.

By definition, all squares are parallelograms. Not all parallelograms, however, are squares. All rectangles and rhombuses are also parallelograms.

False! Squares are parallelograms. Parallelograms can be squares or rectangles or neither.

Yes. All squares are parallelograms but not all parallelograms are squares.

No because all quadrilaterals are 4 sided shapes which includes parallelograms, trapezoids, squares, rectangles, kites......etc

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.

No, the other way. All squares are parallelograms.

the three special quadrilaterals that can be a parallelogram are a rectangle, a square, and a rhombus Actually, this is incorrect. All squares are rectangles. All rectangles are parallelograms. Therefore all squares are parallelograms. But not all parallelograms are rectangles. And not all rectangles are squares.

No, but you can draw a parallelogram that is not a square. All squares are parallelograms, but only some parallelograms are squares.

Parallelograms are a special form of quadrilaterals (four sided polygons). Parallelograms have 2 sets of parallel sides. So you could say that all parallelograms are quadrilaterals. Or you could say that all parallelograms are polygons. I'm not sure what you are asking.