geometry unit 9 implied statements

implied statements

parallelogram <=>

consecutive angles are supplementary.

parallelogram <=>

opposite sides are equal and parallel

parallelogram <=>

diagonals bisect each other

parallelogram <=>

opposite angles congruent

converse property of parallelogram

quad with one pair both congruent and parallel is a parallelogram.

rhombus =>

parallelogram with 4 congruent sides

rhombus =>

parallelogram with perpendicular bisectors

rhombus =>

parallelogram with diagonals bisecting opposite angles

rectangle =>

parallelogram with 4 congruent right angles

rectangle =>

parallelogram with congruent diagonals

square =>

all properties of parallelograms, rectangles, & rhombuses

kite =>

quad with 2 pairs of congruent consecutive sides

kite =>

quad with one pair of opposite congruent angles

kite =>

quad with one pair of opposite angles bisected

kite =>

quad with perpendicular diagonals

trapezoid =>

quad with one pair of opposite sides parallel

isosceles trapezoid =>

quad with congruent legs

isosceles trapezoid =>

quad with two congruent pair bases

isosceles trapezoid =>

quad with congruent diagonals