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
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.
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.
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).
Both squares a rhombuses have all equal sides. A square is a rhombus with 4 right angles.
No because a rhombus has 4 equal sides whereas a kite has only 2 equal sides but they are both quadrilateral polygons.
A rhombus is a special parallelogram in its own right inasmuch it has 4 equal sides and 2 diagonals that intersect at 90 degrees
yes - all the rhombuses. By definition a trapezoid has two parallel sides, a rhombus also has two parallel sides - because both pairs of opposite sides are parallel. So all rhombuses are trapezoids (but not all trapezoids are rhombuses)
No. In order to be similar, their angles must be equal. Rhombuses don't all have to have the same set of angles. All a rhombus needs is four equal sides. Different rhombuses can be "squished" by different amounts.
no a square is a rhombus with equal sides and angles are all 90 degrees