Parallelogram Properties

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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
rectangle
-parallelogram with 4 congruent angles, 4 right angles (equiangular)
-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
square
-parallelogram with 4 congruent sides and angles (equilateral, equiangular= regular)
-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
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)
isosceles trapezoid
-trapezoid with congruent legs
-diagonals are congruent
-base angles are congruent