Quadrilaterals- proving

only one of each needs to be true to prove(unless bold)

Parallelogram

-Both pairs of opposite sides are parallel

-Both pairs of opposite sides are congruent

-One pair of opposite side is both parallel and congruent

-Both pairs of opposite angles are congruent

-The diagonols bisect each other

rectangle

-parallelogram

-One angle is a right angle

-Diagonals are congruent

rhombus

-parallelogram

-one pair of consecutive sides congruent

-diagonals bisect the angles

-diagonals are perpendicular to each other

square

-rectangle + 2 consecutive sides are congruent

-rhombus + one right angle

Trapezoid

-one pair of opposite sides are parallel

Isosceles Trapezoid

-one pair of opposite sides are parallel + other pair congruent

kite

-two pairs of consecutive congruent sides

-one diagonal is perpendicular bisecter of the other