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
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.
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 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.
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