Classifications of Quadrilaterals

• Quadrilateral


  A four-sided polygon
• Consecutive vertices


  Used to name a quadrilateral
• Possible names for a quadrilateral

  • ABCD
  • BCDA
  • CDAB
  • DABC
  • DCBA
  • CBAD
  • BADC
• Quadrilateral


  • Has a pair of opposite angles
  • Has consecutive sides
• Diagonals


  Lines that connect opposite vertices
• Parallelogram


  • A quadrilateral with two pairs of parallel sides
• Rhombus


  • A quadrilateral with two pairs of congruent sides
• Rectangle


  • A quadrilateral with four right angles
• Square


  • A quadrilateral with four congruent angles and four congruent sides
• Trapezoid


  • A quadrilateral with exactly one pair of parallel sides
• Isosceles trapezoid


  • A trapezoid with congruent legs
• Kite


  • A quadrilateral with two distinct pairs of consecutive sides that are congruent
• Classification of quadrilaterals based on parallel lines

  • Parallelogram
  • Rectangle
  • Rhombus
  • Square
• The sum of the angles in a quadrilateral is 360 degrees
• Finding the missing angle in a quadrilateral

  Subtract the sum of the known angles from 360 degrees
• Solving for the value of x in a quadrilateral

  Set up an equation with the known angles and solve for x
• The angle W is 95 degrees and the angle N is 94 degrees
• Quadrilateral


  A four-sided polygon
• Consecutive vertices


  Used to name a quadrilateral
• Possible names for a quadrilateral

  • ABCD
  • BCDA
  • CDAB
  • DABC
  • DCBA
  • CBAD
  • BADC
• Quadrilateral


  • Has a pair of opposite angles
  • Has consecutive sides
• Diagonals


  Lines that connect opposite vertices
• Parallelogram


  • A quadrilateral with two pairs of parallel sides
• Rhombus


  • A quadrilateral with two pairs of congruent sides
• Rectangle


  • A quadrilateral with four right angles
• Square


  • A quadrilateral with four congruent angles and four congruent sides
• Trapezoid


  • A quadrilateral with exactly one pair of parallel sides
• Isosceles trapezoid


  • A trapezoid with congruent legs
• Kite


  • A quadrilateral with two distinct pairs of consecutive sides that are congruent
• Classification of quadrilaterals based on parallel lines

  • Parallelogram
  • Rectangle
  • Rhombus
  • Square
• The sum of the angles in a quadrilateral is 360 degrees
• Finding the missing angle in a quadrilateral

  Subtract the sum of the known angles from 360 degrees
• Solving for the value of x in a quadrilateral

  Set up an equation with the known angles and solve for x
• The angle W is 95 degrees and the angle N is 94 degrees