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uadrilateral Family e-Lesson by :   Rashmi Kathuria Kulachi Hans Raj Model School
[object Object]
ey! Look here.. We all have  4 sides.
uadrilateral? It is a geometrical shape having  exactly 4 sides.  quad  means four and  lateral  means side  . Activity
xamples from daily life In this picture the Shape of the  sun shade is a  Quadrilateral.
ind the quadrilaterals in the following pictures….
rapezoid It is a geometrical shape having 4 sides and  having one set of parallel sides. A B C D
arallelogram   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
ectangle It has all of the properties of the  parallelogram 4 right angles diagonals are equal
hombus It has all of the properties of the  parallelogram 4 congruent sides diagonals bisect each other            at right angles
quare It has all of the properties of the  parallelogram  AND the  rectangle  AND the  rhombus.
he Kite                                                                           Hey, it looks like a kite. It has two pairs of sides.  Each pair is made up of adjacent sides that are equal in length.  The angles are equal where the pairs meet.  Diagonals (dashed lines) meet at a right angle, and  one of the diagonal bisects (cuts equally in half) the other.
Ready for the quiz? 1. A polygon with four sides is a  a)  quadrilateral  b)  triangle   c)  hexagon 2. A quadrilateral with four equal sides and four equal right angles is a a)  rectangle   b)  square   c)  rhombus 3. A quadrilateral with four equal right angles and two sets of parallel  opposite sides that are equal. a)  rectangle    b)  square   c)  rhombus 4. A quadrilateral with two sets of parallel opposites sides that are equal.  a)  parallelogram    b)  trapezoid     c)  cube 5. A quadrilateral with two sides that are parallel but not equal. a)  rhombus   b)  trapezoid    c)  square
CKNOWLEDGEMENT ,[object Object],[object Object],[object Object]
Try again….
Excellent…
ollowing slides are the link slides…..
In a parallelogram, both pairs of opposite sides are parallel.
Opposite angles of a parallelogram are equal.  A =   C  and   B =   D
Both pairs of opposite sides of a parallelogram  are equal. AB = CD  and AD = BC
Consecutive angles of a parallelogram are  supplementary.  A +   B = 180 0  B +   C = 180 0  C +   D = 180 0  D +   A = 180 0
A B C D A B C D The diagonal of a parallelogram divides it into two  congruent triangles. Fig 1 Fig 2  ABC      CDA  ABD      CDB
A B C D  ABC      CDA  AB = CD (opp sides are equal) BC = AD (opp sides are equal)  ABC =   CDA (opp angles are equal)     ABC      CDA (S.A.S cong axiom)
A B C D  ABD      CDB  AB = CD (opp sides are equal) AD = DB (opp sides are equal)  DAB =   BCD (opp angles are equal)     ABD      CDB (S.A.S cong axiom)
A B C D The diagonals of a parallelogram bisect each other. O AO = OC  and  DO = OB
Each angle of a rectangle is a right angle.  A=90 0 ,   B=90 0 ,   C=90 0 ,   D=90 0
AB = CD   and  AD = BC Both pairs of opposite sides of a rectangle  are equal.
Diagonals of a rectangle are equal. ABCD is a rectangle in which the diagonals AC = BD.
All sides of a rhombus are equal. AB = BC = CD =DA
Diagonals of a rhombus bisect each other at  right angles. BD    AC 0 DO = OB and OC = OA
[object Object],[object Object]

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Quadrilateral Family[1] Rashmi Kathuria

  • 1. uadrilateral Family e-Lesson by : Rashmi Kathuria Kulachi Hans Raj Model School
  • 2.
  • 3. ey! Look here.. We all have 4 sides.
  • 4. uadrilateral? It is a geometrical shape having exactly 4 sides. quad means four and lateral means side . Activity
  • 5. xamples from daily life In this picture the Shape of the sun shade is a Quadrilateral.
  • 6. ind the quadrilaterals in the following pictures….
  • 7. rapezoid It is a geometrical shape having 4 sides and having one set of parallel sides. A B C D
  • 8.
  • 9. ectangle It has all of the properties of the parallelogram 4 right angles diagonals are equal
  • 10. hombus It has all of the properties of the parallelogram 4 congruent sides diagonals bisect each other at right angles
  • 11. quare It has all of the properties of the parallelogram AND the rectangle AND the rhombus.
  • 12. he Kite                                                                           Hey, it looks like a kite. It has two pairs of sides. Each pair is made up of adjacent sides that are equal in length. The angles are equal where the pairs meet. Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.
  • 13. Ready for the quiz? 1. A polygon with four sides is a a) quadrilateral b) triangle c) hexagon 2. A quadrilateral with four equal sides and four equal right angles is a a) rectangle b) square c) rhombus 3. A quadrilateral with four equal right angles and two sets of parallel opposite sides that are equal. a) rectangle b) square c) rhombus 4. A quadrilateral with two sets of parallel opposites sides that are equal. a) parallelogram b) trapezoid c) cube 5. A quadrilateral with two sides that are parallel but not equal. a) rhombus b) trapezoid c) square
  • 14.
  • 17. ollowing slides are the link slides…..
  • 18. In a parallelogram, both pairs of opposite sides are parallel.
  • 19. Opposite angles of a parallelogram are equal.  A =  C and  B =  D
  • 20. Both pairs of opposite sides of a parallelogram are equal. AB = CD and AD = BC
  • 21. Consecutive angles of a parallelogram are supplementary.  A +  B = 180 0  B +  C = 180 0  C +  D = 180 0  D +  A = 180 0
  • 22. A B C D A B C D The diagonal of a parallelogram divides it into two congruent triangles. Fig 1 Fig 2  ABC   CDA  ABD   CDB
  • 23. A B C D  ABC   CDA AB = CD (opp sides are equal) BC = AD (opp sides are equal)  ABC =  CDA (opp angles are equal)   ABC   CDA (S.A.S cong axiom)
  • 24. A B C D  ABD   CDB AB = CD (opp sides are equal) AD = DB (opp sides are equal)  DAB =  BCD (opp angles are equal)   ABD   CDB (S.A.S cong axiom)
  • 25. A B C D The diagonals of a parallelogram bisect each other. O AO = OC and DO = OB
  • 26. Each angle of a rectangle is a right angle.  A=90 0 ,  B=90 0 ,  C=90 0 ,  D=90 0
  • 27. AB = CD and AD = BC Both pairs of opposite sides of a rectangle are equal.
  • 28. Diagonals of a rectangle are equal. ABCD is a rectangle in which the diagonals AC = BD.
  • 29. All sides of a rhombus are equal. AB = BC = CD =DA
  • 30. Diagonals of a rhombus bisect each other at right angles. BD  AC 0 DO = OB and OC = OA
  • 31.