If in a parallelogram, its diagonals bisect each other right angle and are equal, then it is a

(a)Square (b)Rectangle (c)Rhombus (d)Kite

The parallelogram is a "Square" ⇒ (a)

Step-by-step explanation:

In a parallelogram

Every two opposite sides are parallelEvery two opposite sides are equalEvery two opposite angles are equalIts diagonals bisect each otherIf the diagonals of a parallelogram are equal, then it is a rectangleIf the diagonals of a parallelogram are perpendicular to each other, then it is a rhombusIf the diagonals of a parallelogram are equal and perpendicular, then it is a square

∵ In a parallelogram, its diagonals bisect each other at right angles

∴ Its diagonals are perpendicular

∵ Its diagonals are equal

→ By using rule 3 above

∴ The parallelogram is a square

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