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In a parallelogram, which of the following properties is NOT true?

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Question: In a parallelogram, which of the following properties is NOT true?

Options:

  1. Opposite angles are equal.
  2. Adjacent angles are supplementary.
  3. All sides are equal.
  4. Diagonals bisect each other.

Correct Answer: All sides are equal.

Solution: 

In a parallelogram, while opposite angles are equal and diagonals bisect each other, all sides being equal is a property of a rhombus, not all parallelograms.

In a parallelogram, which of the following properties is NOT true?

Practice Questions

Q1
In a parallelogram, which of the following properties is NOT true?
  1. Opposite angles are equal.
  2. Adjacent angles are supplementary.
  3. All sides are equal.
  4. Diagonals bisect each other.

Questions & Step-by-Step Solutions

In a parallelogram, which of the following properties is NOT true?
  • Step 1: Understand what a parallelogram is. A parallelogram is a four-sided shape (quadrilateral) where opposite sides are parallel.
  • Step 2: Learn the properties of a parallelogram. In a parallelogram, opposite angles are equal, and the diagonals (lines connecting opposite corners) bisect each other (cut each other in half).
  • Step 3: Identify the property that is NOT true for all parallelograms. While all sides being equal is a property of a rhombus, it is NOT a property of all parallelograms.
  • Step 4: Conclude that the statement 'all sides are equal' is the property that is NOT true for all parallelograms.
  • Properties of Parallelograms – In a parallelogram, opposite sides are equal, opposite angles are equal, and the diagonals bisect each other.
  • Difference Between Parallelograms and Rhombuses – A rhombus is a specific type of parallelogram where all sides are equal, which is not a requirement for all parallelograms.
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