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I have two pairs of parallel sides and all my sides are equal but I have no right angles. what quadrilateral am I?
A Rhombus.
What is a rectangle but not a parallelogram?
A parallelogram has two pairs of opposite sides that are equal in length and parallel. A rectangle has two pairs of opposite sides that are equal in length and are parallel. Thus all rectangles are parallelograms. (A rectangle has the extra condition that all its angles are equal at 90°, thus all parallelograms are not rectangles.) There cannot be a rectangle that is not a parallelogram.
Does a rhombus only have one set of parallel lines?
No, a rhombus has 2 pairs of parallel sides. A rhombus is a special case of a parallelogram. It has all four sides equal length.
Is a kite a rhombus?
yes its nonsensical * * * * * The self-contradictory answer is correct to the extent that it is nonsensical. A rhombus is a quadrilateral with two pairs of parallel sides and all sides of equal length. A kite cannot have any parallel sides.
What are the similarities and differences of the 6 quadrilaterals?
All quadrilaterals have four sides. All have interior angles totalling 360 degrees. A scalene quadrilateral has no parallel sides. A trapezoid has one pair of parallel sides and one pair of non-parallel sides. A parallelogram has two pairs of parallel sides. Opposite angles are equal. A rectangle is a parallelogram with four right angles at the corners, and therefore all angles are equal. A rhombus is a parallelogram with all four sides equal. A square is a rhombus with four right angles, and therefore all four sides are equal and all four angles are equal. A square is also a parallelogram with four equal sides.
