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Home >> Parallelogram >> Diagonal Of Parallelogram >>

Diagonal of Parallelogram

Area of Parallelogram Opposite Angles of Parallelogram Adjacent Angles of Parallelogram Diagonal Of Parallelogram Difference & Similarity between Rectangle & Parallelogram
Difference & Similarity between Square & Parallelogram Difference & Similarity between Square, Rectangle & Parallelogram Properties of Parallelogram

There are three properties of diagonals of parallelogram

  • Diagonals of Parallelogram are not equal.
  • Diagonals of Parallelogram bisect each other

    Diagonals of Parallelogram are not equal

    Example 1: Observe the following diagram of parallelogram:



    In the above diagram of parallelogram ABCD:
    AC and DB are two diagonals
    AC = 5cm
    DB = 7 cm
    This explains that diagonals of parallelogram are not equal

    Diagonals of Parallelogram bisect each other

    This property explains that diagonals of parallelogram bisect each other at the intersecting point.
    In simple words, we can say that:
    Diagonals of parallelogram divide into half at the point of intersection

    Example 2: Observe the following parallelogram.



    In the above diagram of Parallelogram ABCD:
    AC and DB are two diagonals
    AC = 5cm
    DB = 7 cm

    Both diagonals AC and DB intersect at point X
    Since the diagonals of parallelogram bisect each other at the intersecting point, so we get:
    AX = XC = 2.5 cm
    DX = XB = 3.5 cm


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