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K J Somaiya Comprehensive College of Education, Training & Research Name  : Monica Panda Roll No  : 44 Subject  : Mathematics Topic  : Quadrilaterals Standard  : VII
Road Map ,[object Object],[object Object],[object Object],[object Object],[object Object]
OBJECTIVE: ,[object Object]
Definition ,[object Object],triangle parallelogram octagon heptagon hexagon pentagon
Definition ,[object Object]
Quadrilateral Family parallelogram rectangle rhombus square trapezoid
INTRODUCTION ,[object Object]
Quadrilaterals ,[object Object],[object Object],[object Object],A B C D
* In quadrilateral ABCD, the vertices are A, B,C, and D * Adjacent vertices are : A and B B and C C and D D and A  * Opposite vertices are : A and C B and D A B C D
*  Adjacent sides -Two sides with common vertex are : AB  and BC BC  and CD CD  and DA DA  and AB *  Opposite sides are: AB and DC AD and BC A B C D
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A B C D
[object Object],QUADRILATERALS ,[object Object],[object Object],QUADRILATERALS A . B . C . D .
Segments joining opposite vertices like AC and BD are called diagonals of the quadrilateral. There are  2 diagonals in a quadrilateral . A D C B
QUADRILATERALS EXTERIOR OF QUADRILATERAL INTERIOR OF QUADRILATERAL A B C D E . . . . . . G H F J I QUADRILATERAL
PROPERTIES OF A QUADRILATERAL
[object Object],P R Q S
[object Object],70 º 110 º 70 º 110 º 70 º 70 º 110 º 110 º + 360 º
QUADRILATERALS EXPERIMENT AIM:  To verify that the sum of 4 angles of a quadrilateral is 360 degree. 1. Draw 2 [congruent] quadrilaterals of same shape and size.
QUADRILATERALS 2. Draw arcs of same radii at the 4 vertices of the quadrilateral. 3. Colour the region enclosed as shown in the figure.
QUADRILATERALS 4. Glue the figure1 in the note book. 5. Separate the angles in figure2 by zig-zag lines as shown.
QUADRILATERALS 6. Cut the 4 angles of  figure2  as shown.
QUADRILATERALS 7. Arrange the angles and paste them side by side. OBSERVATIONS: 4-angles of quadrilateral can be assembled in to a circle. 4-angles of a quadrilateral  gives a complete angle. The sum total of the 4 angles of quadrilateral is 360 0.
EVALUATION
[object Object],Are They Quadrilaterals? A C B
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],V W Y X U T . . . . . . R S Q P
What is the missing angle? 81 º 58 º 109 º ? A D C B

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Quadrilateral monica

  • 1. K J Somaiya Comprehensive College of Education, Training & Research Name : Monica Panda Roll No : 44 Subject : Mathematics Topic : Quadrilaterals Standard : VII
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  • 6. Quadrilateral Family parallelogram rectangle rhombus square trapezoid
  • 7.
  • 8.
  • 9. * In quadrilateral ABCD, the vertices are A, B,C, and D * Adjacent vertices are : A and B B and C C and D D and A * Opposite vertices are : A and C B and D A B C D
  • 10. * Adjacent sides -Two sides with common vertex are : AB and BC BC and CD CD and DA DA and AB * Opposite sides are: AB and DC AD and BC A B C D
  • 11.
  • 12.
  • 13. Segments joining opposite vertices like AC and BD are called diagonals of the quadrilateral. There are 2 diagonals in a quadrilateral . A D C B
  • 14. QUADRILATERALS EXTERIOR OF QUADRILATERAL INTERIOR OF QUADRILATERAL A B C D E . . . . . . G H F J I QUADRILATERAL
  • 15. PROPERTIES OF A QUADRILATERAL
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  • 18. QUADRILATERALS EXPERIMENT AIM: To verify that the sum of 4 angles of a quadrilateral is 360 degree. 1. Draw 2 [congruent] quadrilaterals of same shape and size.
  • 19. QUADRILATERALS 2. Draw arcs of same radii at the 4 vertices of the quadrilateral. 3. Colour the region enclosed as shown in the figure.
  • 20. QUADRILATERALS 4. Glue the figure1 in the note book. 5. Separate the angles in figure2 by zig-zag lines as shown.
  • 21. QUADRILATERALS 6. Cut the 4 angles of figure2 as shown.
  • 22. QUADRILATERALS 7. Arrange the angles and paste them side by side. OBSERVATIONS: 4-angles of quadrilateral can be assembled in to a circle. 4-angles of a quadrilateral gives a complete angle. The sum total of the 4 angles of quadrilateral is 360 0.
  • 24.
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  • 26. What is the missing angle? 81 º 58 º 109 º ? A D C B

Editor's Notes

  1. It crosses over itself intersecting more than two other segments. There are four sides, but the segments are not straight. Same as B.