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Quadrilateral Family Tree
Quadrilateral
4-sided polygon
Opposite sides parallel Opposite sides congruent Opposite angles congruent Consecutive angles supplementary Diagonals bisect each other
One pair opposite sides parallel Leg angles supplementary
Parallelogram
Trapezoid
Four right angles Diagonals are congruent
Rectangle
Four congruent sides Perpendicular diagonals Diagonals bisect opposite angles
Rhombus
All of the above
Square
Legs are congruent Base angles congruent Diagonals congruent
Isosceles Trapezoid
2 pairs adjacent congruent sides Opp. sides not congruent or parallel
Kite
Properties of
Quadrilaterals
Property Parallel- ogram
Rectangle Rhombus Square Kite Trapezoid Isosceles Trapezoid
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Diagonals form two congruent
triangles ^ ^ ^
Diagonals bisect other
Diagonals are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles
All angles are right angles
All sides are congruent
Consecutive angles are
supplementary ^ ^ ^
Two pairs of consecutive congruent
sides ^ ^
Opposite sides are not congruent or
parallel
Base sides are parallel
Legs are congruent
Base angles are congruent
Quadrilateral
Rectangle
Parallelogram
Square Rhombus
Trapezoid
Isosceles Kite Trapezoid
