To summarize the Trapezoid Family

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					    To summarize the Trapezoid Family:
• All trapezoids have exactly one pair of opposite sides
                          parallel
        • The parallel sides are called the bases
      • The non-parallel sides are called the legs
• Trapezoids have IASSOTS on the left and right sides
      In addition, an isosceles trapezoid:
             • has vertical symmetry
           • So, the legs are congruent
           • Base angles are congruent
          • And diagonals are congruent
      • Opposite angles are also supplementary
      To summarize the Kite Family:
   • All kites have exactly one symmetry
                    diagonal
• The symmetry diagonal bisects the angles
                  it connects
 • The diagonals of a kite are perpendicular
       In addition, a special kite:
     • has congruent diagonals
To summarize the Parallelogram Family:
      • A parallelogram has no symmetry
    • Both pairs of opposite sides are parallel
• A diagonal separates the parallelogram into two
                 congruent triangles
   • Both pairs of opposite sides are congruent
  • Both pairs of opposite angles are congruent
      • All pairs of consecutive angles are
                   supplementary
       • The diagonals bisect each other
  To summarize the Rhombus Family:
Because it is a parallelogram,
     • Both pairs of opposite sides are parallel
  • Both pairs of opposite angles are congruent
• All pair of consecutive angles are supplementary
         • The diagonals bisect each other
In addition . . .
  • All four sides are congruent so it is equilateral
     • It has two symmetry diagonals so either
        diagonals bisects the angles it connects
          • The diagonals are perpendicular
  To summarize the Rectangle Family:
 Because it is a parallelogram:
 • Both pairs of opposite sides are parallel
• Both pairs of opposite sides are congruent
    • The diagonals bisect each other
In addition . . .

       • A rectangle has two symmetry lines
    • It has four right angles so it is equiangular
   • The diagonals of a rectangle are congruent
                     The square has it all !!
Because it is a parallelogram. . .
     • Both pairs of opposite sides are parallel
     • The diagonals bisect each other
Because it is a rectangle . . .

    • It is equiangular
    • Any two angles are supplementary
    • The diagonals are congruent
 Because it is a rhombus . . .

      • It is equilateral
      • The diagonals are perpendicular
      • The diagonals bisect the angles they connect

				
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posted:8/31/2012
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