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mel-nik [20]
3 years ago
15

If in a parallelogram, its diagonals bisect each other right angle and are

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer:

The parallelogram is a "Square" ⇒ (a)

Step-by-step 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

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