Definitions and Properties of Special Quadrilaterals

Parallelogram- 2 pairs of parallel sides

  • Opposite angles are congruent
  • Opposite sides are congruent
  • Consecutive angles are supplementary
  • Diagonals bisect each other

Rectangle- 4 right angles

  • Diagonals are congruent
  • Also a Parallelogram (has all of the properties of a parallelogram, including the definition)

Rhombus- 4 congruent sides

  • Diagonals bisect opposite angles
  • Diagonals are perpendicular
  • Also a Parallelogram (has all of the properties of a parallelogram, including the definition)

Square- 4 right angles and 4 congruent sides (combo of Rectangle and Rhombus)

  • Has all of the properties listed above (Parallelogram, Rectangle and Rhombus)

 

Trapezoid- One pair of parallel sides

  • Two pairs of consecutive angles are supplementary

Isosceles Trapezoid- Trapezoid where the pair of sides that are not parallel, are congruent.

  • Diagonals are congruent
  • Two pairs of congruent consecutive angles

Kite- Two pairs of congruent consecutive sides

  • Diagonals are perpendicular
  • One diagonal bisects the other
  • One diagonal bisects one pair of opposite angles
  • One pair of opposite angles are congruent.
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