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ABCD is a parallelogram. Equilateral triangle-like markings show AB = BC.
If adjacent sides are equal, what special parallelogram is ABCD, and what is true of its diagonals?

Class 9Properties of a ParallelogramGeometry — Quadrilaterals
  • AA rhombus; diagonals bisect at right angles
  • BA rectangle; diagonals are equal
  • CA square; all angles equal AND diagonals equal
  • DA trapezium; only one pair parallel

Step-by-Step Solution

A parallelogram with adjacent sides equal has all sides equal, i.e. a rhombus, whose diagonals bisect each other at 90°.
Answer: A) A rhombus; diagonals bisect at right angles

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