Graduate Management Admission Test (GMAT) Practice Test

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What is a unique property of the diagonals in a parallelogram?

  1. Diagonals intersect at right angles

  2. Diagonals are unequal

  3. Diagonals bisect each other

  4. Diagonals are equal in length

The correct answer is: Diagonals bisect each other

In a parallelogram, the unique property of the diagonals is that they bisect each other. This means that when the diagonals intersect, they divide each other into two equal parts. This property is fundamental to parallelograms and can be derived from their definition and properties. Since opposite sides of a parallelogram are equal and parallel, this symmetry ensures that the diagonals will always meet at their midpoints, effectively bisecting each other. This characteristic distinguishes parallelograms from other quadrilaterals where diagonals may not have this property. Understanding this trait is crucial, especially when applying the properties of parallelograms in geometric problems or proofs.

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