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What shape is a square but not a parelellogram?
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.
What is the difference between rhombuses and parallelograms?
For parallelograms, the lengths of each side in one pair of opposite sides don't have to be equal to the lengths of each side in the other pair, so, even though two sides are always equal in length, all 4 sides are only sometimes equal in length (as with a square). A rhombus always has all 4 sides equal in length. A rhombus (like a square or a diamond) is a parallelogram, but not all parallelograms are rhombuses.
Are all sided shapes parallelograms?
No. Parallelograms have only 4 sides with 2 sets of parallel sides: they include squares, rectangles, and rhombuses (rhombi, diamond shapes). Because opposite angles are equal, each pair of parallel sides is equal in length. (For squares and "equilateral rhombi" all four sides are equal in length.)
What is a parallelogram where all 4 sides are equal and the opposite sides are parallel?
All "parallelograms" have opposite sides that are parallel. If all four sides have an equal length and the angles are not all right angles, it is a rhombus. If there is any right angle, then they are all right angles and the parallelogram is a square.(note : it is not possible for a quadrilateral to have four equal sides without being one of these parallelograms.)
A quadrilateral having both pairs of opposite sides parallel?
A square if sides are equal. Otherwise a rectangle. A parallelogram. Rectangles are special cases of parallelograms. Parallelograms need not have all angles equal. * * * * * No. A parallelogram if the sides are of unequal length (rectangle if the angles are 90 degrees) or rhombus if all four sides are of the same length (square if the angles are 90 degrees).
