Mathematics
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
parallelogram
rectangle
rhombus
square
Rectilinear Figures
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Answer
Diagonals of square and rhombus bisect each other at 90°.
Since, each square is a rhombus but not vice-versa.
Hence, if the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a rhombus.
Hence, Option 3 is the correct option.
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Related Questions
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, then the quadrilateral PQRS must be a
parallelogram
rhombus
rectangle
square
Which of the following is not true for a parallelogram?
opposite sides are equal
opposite angles are equal
opposite angles are bisected by the diagonals
diagonals bisect each other
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.