yes
yes
Some parallelograms are rhombuses, but all rhombuses are parallelograms. A parallelogram is a rhombus if and only if all of it's sides are the same length.
Yes all rhombuses have 2 equal pairs of parallel sides.
No. A rectangle has all angles equal to 90o; a rhombus has opposite angles equal but they do not need to be 90o; thus all rhombuses are not rectangles. All rectangles have four equal angles and opposite sides of equal length, all four sides need not be the same length; a rhombus has all 4 sides of equal length; thus all rectangles are not rhombuses either.
-- The rhombus has four sides. -- All four of its sides are equal in length. -- Its opposite sides are parallel. -- The sum of its interior angles is 360 degrees. -- Its opposite angles are equal. -- Its diagonals are perpendicular and bisect each other. A rhombus with all 4 angles equal (at 90°) is called a square (which is a special kind of rectangle in which all 4 sides are of equal length); thus some rhombuses are rectangles (and some rectangles are rhombuses).
yes
Yes they do.
All rhombuses are parallelograms because to be a parallelogram you only have to have four sides and have opposite sides congruent.
Some parallelograms are rhombuses, but all rhombuses are parallelograms. A parallelogram is a rhombus if and only if all of it's sides are the same length.
Parallelograms include several specific types of quadrilaterals: rectangles, rhombuses, and squares. Rectangles have opposite sides that are equal and all angles equal to 90 degrees. Rhombuses have all sides equal in length, with opposite angles being equal. Squares possess the properties of both rectangles and rhombuses, having equal sides and all angles at 90 degrees.
Yes all rhombuses have 2 equal pairs of parallel sides.
No. Rhombuses that are also rectangles are called squares. Rhombuses are parallelograms with 4 equal sides, while rectangles are parallelograms where all the angles are right.
No. A rectangle has all angles equal to 90o; a rhombus has opposite angles equal but they do not need to be 90o; thus all rhombuses are not rectangles. All rectangles have four equal angles and opposite sides of equal length, all four sides need not be the same length; a rhombus has all 4 sides of equal length; thus all rectangles are not rhombuses either.
-- The rhombus has four sides. -- All four of its sides are equal in length. -- Its opposite sides are parallel. -- The sum of its interior angles is 360 degrees. -- Its opposite angles are equal. -- Its diagonals are perpendicular and bisect each other. A rhombus with all 4 angles equal (at 90°) is called a square (which is a special kind of rectangle in which all 4 sides are of equal length); thus some rhombuses are rectangles (and some rectangles are rhombuses).
Both squares a rhombuses have all equal sides. A square is a rhombus with 4 right angles.
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.
No because a rhombus has 4 equal sides whereas a kite has only 2 equal sides but they are both quadrilateral polygons.