Question

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​

Answer 1

The parallelogram is a "Square" ⇒ (a)

Explanation:

In a parallelogram

• Every two opposite sides are parallel

• Every two opposite sides are equal

• Every two opposite angles are equal

• Its diagonals bisect each other

1. If the diagonals of a parallelogram are equal, then it is a rectangle
2. If the diagonals of a parallelogram are perpendicular to each other, then it is a rhombus
3. If 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