Mathematics
If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a
parallelogram
rhombus
rectangle
square
Answer
If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a parallelogram.
All the shapes rhombus, rectangle and square are parallelogram but not vice-versa.
Hence, they have all the properties of a parallelogram.
Hence, Option 1 is the correct option.
Related Questions
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to
24°
86°
38°
32°
Which of the following statement is true for a parallelogram?
Its diagonals are equal.
Its diagonals are perpendicular to each other.
The diagonals divide the parallelogram into four congruent triangles.
The diagonals bisect each other.
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
parallelogram
rectangle
rhombus
square
If the diagonals of a square ABCD intersect each other at O, then △OAB is
an equilateral triangle
a right angled but not an isosceles triangle
an isosceles but not right angles triangle
an isosceles right angled triangle.