parallelogram

• quadrilateral - polygon with 4 sides
• parallelogram - a quadrilateral where both pairs of opposite sides are parallel
• properties of a parallelogram:

  • both pairs of opposite sides are parallel
  • both pairs of opposite sides are congruent
  • both pairs of opposite angles are congruent
  • diagonals bisect each other
  • each diagonal divides the parallelogram into two congruent triangles
  • consecutive angles in a parallelogram are supplementary
  • area - bh
• properties of a rectangle:

  • all properties of a parallelogram
  • all four angles are right angles
  • diagonals are congruent
• properties of a rhombus:

  • All properties of parallelograms
  • The diagonals of a rhombus are perpendicular.
  • Each diagonal of a rhombus bisects a pair of opp. angles
• properties of a square:

  • All properties of parallelogram
  • All properties of rectangle
  • All properties of rhombus
• properties of a trpaeziod:

  • The parallel sides are called bases
  • The nonparallel sides are called legs
  • At each side of a base there is a pair of base angles
• properties of an isosceles trapezoid:

  • All properties of trapezoid
  • Lower base angles are congruent
  • Upper base angles are congruent
  • Any lower base angle is supplementary to any upper base angle
  • The diagonals of an isosceles trapezoid are congruent
• properties of a kite:

  • Diagonals are perpendicular
  • The opposite angles whose vertices are the endpoints of the shorter diagonal are congruent
  • The longer diagonal bisects the shorter diagonal
  • The longer diagonal bisects the angles whose vertices are its endpoints
  • Longer diagonal divides the kite into two congruent triangles
  • Shorter diagonal divides the kite into two isosceles triangles