Parallelograms


   
 
Summary
Quadrilateral
 
A plane closed figure formed by four line segments is called a quadrilateral
 
 
ABCD is a quadrilateral and written as quad. ABCD.
 
Various types of quadrilaterals
 
Parallelogram
 
A quadrilateral in which opposite sides are parallel is called a parallelogram.
 
 
Rectangle
 
A parallelogram each of whose angle is 900 and opposite sides are equal is called a rectangle.
 
 
Square
 
A rectangle having all sides equal is called a square.
 
 
Rhombus
 
A parallelogram having all sides equal is called a Rhombus.
 
 
Trapezoid
 
A quadrilateral in which two opposite are parallel and two opposite sides are non parallel is called a trapezoid.
 
 
Kite
 
A quadrilateral in which two pairs of adjacent sides are equal is known as kite.
 
 
Properties of parallelograms
 
  • A diagonal of a parallelogram divides it into two congruent triangles.
 
  • In a parallelogram, the opposite sides are equal.
 
  • In a parallelogram, the opposite angles are equal
 
  • In a parallelogram, the diagonals bisect each other.
 
Properties of quadrilaterals
 
  • In a quadrilateral, if opposite sides are equal, it is a parallelogram.
 
  • In a quadrilateral, if opposite angles are equal, it is a parallelogram.
 
  • In a quadrilateral, if diagonals bisect each other, it is a parallelogram.
 
 
     
   
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