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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