Quadrilaterals

Quadrilaterals

1. Parallelograms

   • 2 pairs of parallel sides
     • Both pairs of opposite angles are congruent
       • An angle is supplementary to both of its consecutive angles
         • One pair of opposite sides is both congruent and parallel
           • Diagonals bisect each other
             • Opposite sides are congruent
   • Rhombus
     • 4 congruent sides
       • Diagonals are perpendicular
         • Diagonals bisect pairs of opposite angles
           • Square
             • 4 congruent sides
               • 4 right angles
   • Rectangle
     • 4 right angles
       • Diagonals are congruent

2. 4 sides

3. Trapezoid

   • Exactly one pair of parallel sides (the bases)
     • 2 non-parallel sides called legs
       • The midsegment is parallel to the bases
         • The length of the midsegment is half the sum of the lengths of the bases
   • Isosceles trapezoid
     • Non-parallel opposite sides are congruent
       • Diagonals are congruent

4. Kite

   • No pairs of parallel sides
     • 2 pairs of consecutive sides that are congruent
       • Diagonals are perpendicular

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