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Quadrilateral Graphic Organizer

HS: High School

Created on February 14, 2024

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Transcript

Parallelogram

Area = base x height
  • Opposite sides are parallel.
  • Opposite sides are congruent.
  • Opposite angles are congruent.
  • Consecutive angles are supplementary.
  • Diagonals bisect each other

Rectangle

A quadrilateral that has four right angles
  • Opposite sides are parallel
  • Opposite sides are congruent
  • Opposite angles are congruent
  • Consecutive angles are supplementary
  • Diagonals bisect each other
  • All angles are right angles
  • Diagonals are congruent

Area = Base x Height

Area = 0.5 x height x (base 1+base 2)

Trapezoid

A quadrilateral with ONE pair of opposite sides parallel
  • ONE pair of oposite sides parallel
  • The sides that are not parallel are called the legs.
  • Base 1 angles are angles A and R since they are on Base 1
  • Base 2 angles are angles T and P since they are on Base 2

Isosceles Trapezoid

Area = 0.5 x h x (b 1+b 2)

A quadrilateral with ONE pair of opposite sides parallel and legs that are congruent.
  • ONE pair of oposite sides parallel
  • The non-parallel sides (legs) are congruent
  • Base angles are congruent (each base)
  • The diagonals are congruent.

Parallelogram

A quadrilateral that has both pairs of opposite sides parallel.
  • Opposite sides are parallel
  • Opposite sides are congruent
  • Opposite angles are congruent
  • Consecutive angles are supplementary
  • Diagonals bisect each other

Area = Base x Height

Kite

A quadrilateral with 2 pairs of adjacent sides that are equal in length
  • Two pairs of consecutive sides are congruent
  • One pair of opposite angles are congruent
  • Longer diagonal bisects the shorter diagonal
  • Diagonals are perpendicular
  • Longer diagonal bisects the pair of opposite angles.

Area = 0.5 x d1 x d2

  • Opposite sides are parallel
  • All sides are congruent
  • All angles are right angles
  • Consecutive angles are supplementary.
  • Diagonals bisect each other
  • Diagonals bisect the vertex angles
  • Diagonals are perpendicular
  • Diagonals are congruent

Square

A quadrilateral that has all sides congruent and four right angles.

Area = Base x Height

OR

Area = side2

Rhombus

A parallelogram that has four congruent sides.
  • Opposite sides are parallel
  • All sides are congruent
  • Opposite angles are congruent
  • Diagonals bisect each other
  • Consective angles are supplementary
  • Diagonals bisect vertex angles
  • Diagonals are perpendicular

Area = Base x Height

OR

Area = 0.5 x d1 x d2