Quadrilaterals There are a total of eight kind of polygons classified as a quadrilateral. All quadrilaterals are closed four-sided figures.

Square 4 right angles All angles and sides are congruent 2 sets of parallel lines Always parallelogram Only regular quadrilateral

Rectangle 4 right angles 2 sets of parallel lines (opposite) 2 sets of congruent lines (opposite) Always Parallelogram Never kite

Parallelogram Consecutive angles=180degrees 2 sets of congruent sides Opposite sides are parallel and congruent Congruent opposite angles Diagonals bisect Sometimes square Sometimes rectangle characteristics of a parallelogram

Trapezoid 1 set of parallel lines Never parallelogram Parallel sides are called bases

The top of this table is an example of a trapezoid

Rhombus 2 sets of parallel lines (opposite) Similar to parallelogram All sides are congruent Opposite congruent angles Sometimes a square Diagonals bisect and are perpendicular Always parallelogram characteristics of a rhombus

Kite 2 sets of congruent adjacent sides No parallel lines Diagonals bisect and are perpendicular One set of opposite congruent angles 2 90degree angles 1 pair of opposite angles is congruent (ones that are between the sides of unequal length

Isosceles Trapezoid 2 congruent lines (outside) One set of parallel lines Base angles are congruent Diagonals are congruent Opposite angles=180degrees

Irregular Quadrilateral Does not have any special properties

There are a total of eight kind of polygons classified as a quadrilateral. All quadrilaterals are closed four-sided figures.QuadrilateralsSquare4 right anglesAll angles and sides are congruent2 sets of parallel linesAlways parallelogramOnly regular quadrilateralRectangle4 right angles2 sets of parallel lines (opposite)2 sets of congruent lines (opposite)Always ParallelogramNever kiteParallelogramConsecutive angles=180degrees2 sets of congruent sidesOpposite sides are parallel and congruentCongruent opposite anglesDiagonals bisectSometimes squareSometimes rectanglecharacteristics of a parallelogram

Trapezoid1 set of parallel linesNever parallelogramParallel sides are called basesRhombus2 sets of parallel lines (opposite)Similar to parallelogramAll sides are congruentOpposite congruent anglesSometimes a squareDiagonals bisect and are perpendicularAlways parallelogramcharacteristics of a rhombus

Kite

2 sets of congruent adjacent sidesNo parallel linesDiagonals bisect and are perpendicularOne set of opposite congruent angles2 90degree angles1 pair of opposite angles is congruent (ones that are between the sides of unequal lengthIsosceles Trapezoid2 congruent lines (outside)One set of parallel linesBase angles are congruentDiagonals are congruentOpposite angles=180degreesIrregular QuadrilateralDoes not have any special properties