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QUADRILATERAL
                                      (SEGI EMPAT)
                           SMPK PENABUR GADING SERPONG
 ===================================================================
A. DEFINITION OF QUADRILATERAL

                  B
                                         QUADRILATERAL is a polygon ( sisibanyak )with 4
                                 C       angles and 4 straight sides.
A
                                         The sum of all the angles of a quadrilateral is 3600.

            D


B. A QUADRILATERAL CHART
     It is easier to see the relationships among quadrilaterals using a chart. Each
     quadrilateral belongs to the family of quadrilaterals linked to it above and has its
     characteristics.



                                   quadrilateral

                                               4 sides



    trapezium
                                                                                  Kite
    1 pair of parallel
    sides
                                       parallelogram
                                                                                         2 pairs of
                                                                                         consecutive
                                       2 pairs of                                        sides of equal
                                       parallel side                                     measure



      rectangle
                                                                           rhombus



    4 right angles                       square

                                                                                  4 sides of equal

                                     4 right angles and                           measure

                                     4 sides of equal
                                     measure
C. PROPERTIES OF QUADRILATERAL
              QUADRILATERAL                                     PROPERTIES
                                                1)   Opposite sides are equal
                                                2)   Opposite sides are parallel
                                                3)   Opposite angles are equal
                                                4)   Diagonals bisect to each other
  Parallelogram:
  A quadrilateral with each pair of opposite
  sides parallel.

  Rhombus:                                      1) All sides are equal
  A parallelogram                               2) Opposite sides are parallel
  with sides of                                 3) Diagonals are perpendicular (
  equal length.                                    tegaklurus ) to each other
                                                4) Opposite angles are equal
                                                5) Diagonals are the angles bisector
                                                6) Diagonals are line of symetry


                                                1) All angles are right angle
                                                2) Opposite sides are equal and parallel
                                                3) Diagonals are equal and bisect to each
                                                   other
                                                4) It has 2 line of symmetry and 2
  Rectangle:                                       rotational symmetry
  A parallelogram with a right angle.

                                                1) All sides are equal
  Square: A rectangle                           2) All angles are right angle
  with sides of equal                           3) Opposite sides are equal
  length.                                       4) Diagonals are equal and bisect to each
                                                   other at 900 (perpendicular)
                                                5) Diagonals are bisector angle

                                                1) The diagonals are perpendicular to
  Kite: A quadrilateral                            each other
  with exactly two pairs                        2) One of the diagonals bisects the other
  of equal consecutive                          3) One pair of angles are equal
  sides                                         4) 2 pairs of consecutive sides of equal
                                                   measure.
                                                5) It has two diagonal of different
                                                   length

                                                1) One pair of parallel sides




  Trapezium : Trapezium is a
  quadrilateral with a pair of parallel sides
D. AREA AND PERIMETER OF QUADRILATERAL
             QUADRILATERAL                           AREA AND PERIMETER

Parallelogram                               A=bxh
                                            P = the sum of all sides
         h
                 b                          A = Area
                                            P = Perimeter
                                            b = base
                                            h = height


Rhombus
                 s                          A=
                               d1

                     d2                     P=4xs
                 s
                                            d1 = first diagonal
                                            d2 = second diagonal
                                            s = side


Rectangle                                   A=lxw
                                d           P=2(l+w)
                                        w   d=


                               l            l = length
                                            w = width
                                            d = diagonal


Square                                      A=sxs
                     d                      P=4xs
                                    s
                                            d=s

                          s                 s = side
                                            d = diagonal



Kite
                          d2                A=


                      d1                    P = The sum of all sides




Trapezium

                                            A=

             h                              P = the sum of all sides
GLOSSARY


Qudrilateral          : bangundatarsegiempat
Parallelogram         : jajarangenjang
Rhombus               : belahketupat
Rectangle             : persegipanjang
Square                : persegi
Kite                  : layang – layang
Trapezium             : trapezium
Parallel              : sejajar
Perpendicular         : tegaklurus
Bisector angle        : garisbagisudut yang membagisudutmenjadisamabesar
Diagonal              : garis yang dihubungkandariduatitiksudut yang berlawanan
Line of symmetry      : simetrilipat
Rotational symmetry   : simetriputar
Isosceles triangle    : segitigasama kaki
Perimeter             : keliling
Area                  : luas
Width                 : lebar
Side                  : sisi
Adjacent angle        : sudutsepihak / jumlahnya 180 derajat
Base                  : alas
Height                : tinggi

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Quadrilateral

  • 1. QUADRILATERAL (SEGI EMPAT) SMPK PENABUR GADING SERPONG =================================================================== A. DEFINITION OF QUADRILATERAL B QUADRILATERAL is a polygon ( sisibanyak )with 4 C angles and 4 straight sides. A The sum of all the angles of a quadrilateral is 3600. D B. A QUADRILATERAL CHART It is easier to see the relationships among quadrilaterals using a chart. Each quadrilateral belongs to the family of quadrilaterals linked to it above and has its characteristics. quadrilateral 4 sides trapezium Kite 1 pair of parallel sides parallelogram 2 pairs of consecutive 2 pairs of sides of equal parallel side measure rectangle rhombus 4 right angles square 4 sides of equal 4 right angles and measure 4 sides of equal measure
  • 2. C. PROPERTIES OF QUADRILATERAL QUADRILATERAL PROPERTIES 1) Opposite sides are equal 2) Opposite sides are parallel 3) Opposite angles are equal 4) Diagonals bisect to each other Parallelogram: A quadrilateral with each pair of opposite sides parallel. Rhombus: 1) All sides are equal A parallelogram 2) Opposite sides are parallel with sides of 3) Diagonals are perpendicular ( equal length. tegaklurus ) to each other 4) Opposite angles are equal 5) Diagonals are the angles bisector 6) Diagonals are line of symetry 1) All angles are right angle 2) Opposite sides are equal and parallel 3) Diagonals are equal and bisect to each other 4) It has 2 line of symmetry and 2 Rectangle: rotational symmetry A parallelogram with a right angle. 1) All sides are equal Square: A rectangle 2) All angles are right angle with sides of equal 3) Opposite sides are equal length. 4) Diagonals are equal and bisect to each other at 900 (perpendicular) 5) Diagonals are bisector angle 1) The diagonals are perpendicular to Kite: A quadrilateral each other with exactly two pairs 2) One of the diagonals bisects the other of equal consecutive 3) One pair of angles are equal sides 4) 2 pairs of consecutive sides of equal measure. 5) It has two diagonal of different length 1) One pair of parallel sides Trapezium : Trapezium is a quadrilateral with a pair of parallel sides
  • 3. D. AREA AND PERIMETER OF QUADRILATERAL QUADRILATERAL AREA AND PERIMETER Parallelogram A=bxh P = the sum of all sides h b A = Area P = Perimeter b = base h = height Rhombus s A= d1 d2 P=4xs s d1 = first diagonal d2 = second diagonal s = side Rectangle A=lxw d P=2(l+w) w d= l l = length w = width d = diagonal Square A=sxs d P=4xs s d=s s s = side d = diagonal Kite d2 A= d1 P = The sum of all sides Trapezium A= h P = the sum of all sides
  • 4. GLOSSARY Qudrilateral : bangundatarsegiempat Parallelogram : jajarangenjang Rhombus : belahketupat Rectangle : persegipanjang Square : persegi Kite : layang – layang Trapezium : trapezium Parallel : sejajar Perpendicular : tegaklurus Bisector angle : garisbagisudut yang membagisudutmenjadisamabesar Diagonal : garis yang dihubungkandariduatitiksudut yang berlawanan Line of symmetry : simetrilipat Rotational symmetry : simetriputar Isosceles triangle : segitigasama kaki Perimeter : keliling Area : luas Width : lebar Side : sisi Adjacent angle : sudutsepihak / jumlahnya 180 derajat Base : alas Height : tinggi