STUDENT OF LUCKNOW PUBLIC SCHOOL
MATHEMATICS PROJECT
Name:- Ayushh Mehrotra <ul><li>Class:- </li></ul><ul><li>“ X” (10) </li></ul><ul><li>Registration No:- </li></ul><ul><li>R...
TOPIC <ul><li>QUADRILATERALS </li></ul>
What is quadrilateral <ul><li>A  quadrilateral  is a  polygon  with four  sides  (or 'edges') and four  vertices  or  corn...
Angle sum property of quadrilateral <ul><li>We know that angle of quadrilateral is equal to 360°  </li></ul><ul><li>In  ge...
 
CYCLIC QUADRILATERAL
Types of quadrilateral <ul><li>:- parallelogram </li></ul><ul><li>:- rectangle </li></ul><ul><li>:- square </li></ul><ul><...
Specific Quadrilaterals <ul><li>There are several specific types of quadrilaterals.  They are classified based on their si...
Examples of Quadrilaterals
parallelogram <ul><li>A  parallelogram  is a  quadrilateral  with two pairs of  parallel  sides. In  Euclidean Geometry , ...
Properties of Parallelogram <ul><li>:-  Opposite sides of parallelogram are parallel ,so it will never intersect. </li></u...
A  parallelogram  has two pairs of parallel sides.
Formulae of parallelogram <ul><li>Area of parallelogram:- </li></ul><ul><li>area of parallelogram= length   x  breadth   <...
Types of parallelogram <ul><li>:- rectangle  </li></ul><ul><li>:- square </li></ul><ul><li>:- rhombus  </li></ul>
Rectangle <ul><li>A parallelogram each of whose angle is 90 degree , is called as rectangle. A rectangle is a special case...
Rectangle  <ul><li>Still has two pairs of parallel sides; with opposite sides congruent.  </li></ul><ul><li>Has four right...
A  rectangle  has four right angles.
Properties of Rectangle <ul><li>:- digonal of rectangle bisect each other and are equal and vica versa   </li></ul>
Formulae for rectangle   <ul><li>:- area of rectangle = l x b </li></ul><ul><li>i.e.( length x breadth) </li></ul><ul><li>...
Square  <ul><li>A rectangle having all equal sides is called square. In  geometry , a  square  is a  regular   quadrilater...
Properties of square <ul><li>:-The  diagonals  of a square  bisect  each other and meet at 90 degrees. </li></ul><ul><li>:...
<ul><li>:-The  perimeter  of a square whose sides have length s is </li></ul><ul><li>- 4(side) </li></ul><ul><li>and the  ...
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  1. 1. STUDENT OF LUCKNOW PUBLIC SCHOOL
  2. 2. MATHEMATICS PROJECT
  3. 3. Name:- Ayushh Mehrotra <ul><li>Class:- </li></ul><ul><li>“ X” (10) </li></ul><ul><li>Registration No:- </li></ul><ul><li>R/SE/10000/54340/00089 </li></ul>
  4. 4. TOPIC <ul><li>QUADRILATERALS </li></ul>
  5. 5. What is quadrilateral <ul><li>A  quadrilateral  is a  polygon  with four  sides  (or 'edges') and four  vertices  or  corners . Sometimes, the term  quadrangle  is used, by analogy with  triangle , and sometimes  tetragon  for consistency with  pentagon  (5-sided),  hexagon  (6-sided) and so on. The word  quadrilateral  is made of the words  quad  (meaning &quot;four&quot;) and  lateral  (meaning &quot;of sides&quot;). </li></ul><ul><li>Quadrilaterals are  simple  (not self-intersecting) or  complex  (self-intersecting), also called crossed. Simple quadrilaterals are either  convex  or  concave . </li></ul>
  6. 6. Angle sum property of quadrilateral <ul><li>We know that angle of quadrilateral is equal to 360° </li></ul><ul><li>In  geometry , a  square  is a  regular   quadrilateral . This means that it has four equal sides and four equal  angles  (90- degree  angles, or  right angles ). A square with  vertices  ABCD would be denoted  ABCD. </li></ul>
  7. 8. CYCLIC QUADRILATERAL
  8. 9. Types of quadrilateral <ul><li>:- parallelogram </li></ul><ul><li>:- rectangle </li></ul><ul><li>:- square </li></ul><ul><li>:- rhombus </li></ul><ul><li>:- kite </li></ul><ul><li>:- triangle </li></ul><ul><li>:- trapezium </li></ul>
  9. 10. Specific Quadrilaterals <ul><li>There are several specific types of quadrilaterals. They are classified based on their sides or angles . </li></ul>
  10. 11. Examples of Quadrilaterals
  11. 12. parallelogram <ul><li>A  parallelogram  is a  quadrilateral  with two pairs of  parallel  sides. In  Euclidean Geometry , the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations. The three-dimensional counterpart of a parallelogram is a  parallelepiped . </li></ul>
  12. 13. Properties of Parallelogram <ul><li>:- Opposite sides of parallelogram are parallel ,so it will never intersect. </li></ul><ul><li>:- Opposite sides of a parallelogram are equal in length. (congruent) </li></ul><ul><li>:- Opposite angles of a parallelogram are equal in measure. </li></ul><ul><li>:- Adjacent angles are  supplementary  (add up to 180 degrees). </li></ul>
  13. 14. A parallelogram has two pairs of parallel sides.
  14. 15. Formulae of parallelogram <ul><li>Area of parallelogram:- </li></ul><ul><li>area of parallelogram= length x breadth </li></ul>
  15. 16. Types of parallelogram <ul><li>:- rectangle </li></ul><ul><li>:- square </li></ul><ul><li>:- rhombus </li></ul>
  16. 17. Rectangle <ul><li>A parallelogram each of whose angle is 90 degree , is called as rectangle. A rectangle is a special case of a  parallelogram  in which each pair of adjacent sides is perpendicular. </li></ul>
  17. 18. Rectangle <ul><li>Still has two pairs of parallel sides; with opposite sides congruent. </li></ul><ul><li>Has four right angles </li></ul>
  18. 19. A rectangle has four right angles.
  19. 20. Properties of Rectangle <ul><li>:- digonal of rectangle bisect each other and are equal and vica versa </li></ul>
  20. 21. Formulae for rectangle <ul><li>:- area of rectangle = l x b </li></ul><ul><li>i.e.( length x breadth) </li></ul><ul><li>:- perimeter of rectangle = 2 x ( l + b) </li></ul><ul><li>i.e. 2 x (length + breadth) </li></ul>
  21. 22. Square <ul><li>A rectangle having all equal sides is called square. In  geometry , a  square  is a  regular   quadrilateral . This means that it has four equal sides and four equal  angles  (90- degree  angles, or  right angles ). A square with  vertices  ABCD would be denoted </li></ul>
  22. 23. Properties of square <ul><li>:-The  diagonals  of a square  bisect  each other and meet at 90 degrees. </li></ul><ul><li>:-The diagonals of a square bisect its angles. </li></ul><ul><li>:-The diagonals of a square are  perpendicular . </li></ul><ul><li>:- Opposite sides of a square are both  parallel  and equal. </li></ul><ul><li>:- All four angles of a square are equal. (Each is 360°/4 = 90 degrees, so every angle of a square is a right angle.) </li></ul><ul><li>:- The diagonals of a square are equal. </li></ul>
  23. 24. <ul><li>:-The  perimeter  of a square whose sides have length s is </li></ul><ul><li>- 4(side) </li></ul><ul><li>and the  area  is </li></ul><ul><ul><li>(side)² </li></ul></ul>

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