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Parallelogram

-quadrilateral

-2 pairs opp parallel sides

-2 pairs opp congruent angles

-2 pairs opp congruent sides

-consecutive angles are supp

-diagonals bisect each other

-2 pairs opp parallel sides

-2 pairs opp congruent angles

-2 pairs opp congruent sides

-consecutive angles are supp

-diagonals bisect each other

rectangle

-parallelogram with 4 congruent angles, 4 right angles (equiangular)

-all properties of a parallelogram apply

-diagonals are congruent

-all properties of a parallelogram apply

-diagonals are congruent

rhombus

-parallelogram with 4 congruent sides (equilateral)

-all properties of a parallelogram apply

-diagonals are perpendicular

-diagonals bisect the angles

-all properties of a parallelogram apply

-diagonals are perpendicular

-diagonals bisect the angles

square

-parallelogram with 4 congruent sides and angles (equilateral, equiangular= regular)

-both rectangle and rhombus

-all properties of a parallelogram, rhombus, and rectangle apply

-both rectangle and rhombus

-all properties of a parallelogram, rhombus, and rectangle apply

kite

-quadrilateral with no parallel sides but two pairs of adjacent congruent sides (opp sides are not congruent)

-diagonals are perpendicular

-only 1 pair of opp angles are congruent (between non-congruent sides)

-other 2 angles are bisected by diagonal

-diagonals are perpendicular

-only 1 pair of opp angles are congruent (between non-congruent sides)

-other 2 angles are bisected by diagonal

trapezoid

-quadrilateral with 1 pair of parallel sides

-parallel sides are bases

-non parallel sides are legs

-midsegment (median) joins the midpoints of the legs and is parallel to both bases (avg of the bases)

-midsegment=1/2 (b1+b2)

-parallel sides are bases

-non parallel sides are legs

-midsegment (median) joins the midpoints of the legs and is parallel to both bases (avg of the bases)

-midsegment=1/2 (b1+b2)

isosceles trapezoid

-trapezoid with congruent legs

-diagonals are congruent

-base angles are congruent

-diagonals are congruent

-base angles are congruent