Trapezoid
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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.


  • 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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