Quadrilateral Family Tree

Quadrilateral Family Tree

1. Parallelogram: A polygon (shape) with four sides

   • Both pairs of opposite sides are congruent and parallel, Both pairs of opposite angles are congruent, The diagonals bisect each other, Consecutive angles are supplementary
   • Trapezoid
     • Exactly one pair of opposite sides are parallel
     • Isoceles Trapezoid
       • One pair of opposite sides are parallel, Non parallel sides are congruent, Both sets of base angles are congruent, Diagonals are congruent
   • Rectangle: A parallelogram whose diagonals are congruent and whose angles measure 90'
     • Square: Everything from Parallelogram, Rectangle, and Rhombus
   • Rhombus: A parallelogram with 4 equal sides
     • Diagonals bisect each other and are perpendicular, All 4 sides are congruent

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