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Special Notes! The length of the mid-segment is the average of the lengths of the parallel sides. Trapezoid. Definition: A quadrilateral with a pair of parallel sides. Definition: A quadrilateral opposites sides parallel. Parallelogram. Special Notes! Adjacent angles are supplementary.

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trapezoid

Special Notes!

  • The length of the mid-segment is the average of the lengths of the parallel sides.

Trapezoid

Definition: A quadrilateral with a pair of parallel sides.

parallelogram

Definition: A quadrilateral opposites sides parallel.

Parallelogram

  • Special Notes!
  • Adjacent angles are supplementary.
  • Opposite sides are congruent.
  • Opposite angles are congruent.
  • Diagonals bisect each other.
isosceles trapezoid

Isosceles Trapezoid

Definition: A quadrilateral with two parallel sides (called bases) whose non parallel sides are congruent.

  • Special Notes!
  • Angles adjacent about the non-base sides are supplementary!
  • Length of mid-segment is the average of the bases.
rhombus

Rhombus

  • Special Notes!
  • Opposite sides are parallel.
  • All of the properties of a parallelogram hold! 
  • Diagonals are perpendicular.

Definition: A quadrilateral with four congruent sides.

rectangle

Rectangle

  • Special Notes!
  • All the angles are right-angles.
  • All the properties of a parallelogram hold.

Definition: A parallelogram with one right angle.

slide6

Special Notes!

  • Angles between congruent sides are called vertex angles.
  • Angle between non-congruent sides are called non-vertex angles.
  • Diagonals are perpendicular.
  • The diagonal between non-vertex angles is bisected by the diagonal between vertex angles.

Kite

NON-VERTEX ANGLES

VERTEX ANGLES

Definition: A quadrilateral with two pairs of congruent adjacent sides.

square

Definition: A rhombus that is a rectangle.

Square

  • Special Notes!
  • Life\'s most perfect shape.
  • It a regular quadrilateral
  • All the properties of a parallelogram hold.
  • Diagonals are perpendicular.
  • A square is also a trapezoid.
  • A square is also a parallelogram.
  • A square is also a rhombus.
  • A square is also a rectangle.
  • A square is also a kite.
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