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Do all rhombuses have only 1 set of equal length sides?
yes
Are parallelograms rhombuses?
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.
Do all rhomuses have 2 parralel sides?
Yes all rhombuses have 2 equal pairs of parallel sides.
All rhombuses are rectangles?
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.
What is true of all rhombuses?
-- 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).
