Diagonals of a Parallelogram

Diagonals of a Parallelogram

How to solve the diagonals of a parallelogram problems: property, example, and its solution.

Property

The diagonals of a parallelogram bisect each other.

The diagonals of a parallelogram bisect each other.

Example

Find the values of x and y. The segments formed by bisected diagonals: 3x - 2, 7, 2y, 10.

The red diagonal bisects the blue diagonal.

So the divided blue segments are congruent:
3x - 2 = 7.

The blue diagonal bisects the red diagonal.

So the divided red segments are congruent:
2y = 10.