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Some Special Parallelograms

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Some Special Parallelograms - Lesson Summary

A quadrilateral is a closed figure which has four sides, four angles and four vertices. There are different types of quadrilaterals such as Parallelogram, Rectangle, Square, Rhombus, Trapezium and Kite.

A parallelogram is a quadrilateral in which
     •  opposite sides are parallel and equal,
     •  opposite angles are equal,
     •  the diagonals bisect each other,
     •  each diagonal divides it into two congruent triangles,
     •  adjacent angles are supplementary.

A square is a parallelogram in which
     •  all the sides are equal,
     •  each angle measures 90°,
     •  diagonals are equal and bisect at right angles.

A rectangle is a parallelogram in which
     •  diagonals are equal and bisect each other,
     •  each angle measures 90°.

A rhombus is a parallelogram in which
     •  all four sides are equal,
     •  diagonals bisect each other at right angles.




A diagonal of a parallelogram divides it into two congruent triangles.

 

If ABCD is a parallelogram and AC is a diagonal, then ΔABC ≅ ΔCDA.

If each pair of opposite sides is equal in a quadrilateral, then it is a parallelogram.


In a Quadrilateral ABCD, If AB = CD and BC = AD then, it is a parallelogram.

If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.


In a Quadrilateral ABCD in which diagonals bisect each other then ABCD is a parallelogram.

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