Mathematics
If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is :
square
rhombus
parallelogram
rectangle
Rectilinear Figures
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Answer
Diagonals of rhombus and square bisect each other at right angle.
Each square is a rhombus, but not each rhombus is a square.
Hence, Option 2 is the correct option.
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Related Questions
A quadrilateral in which the diagonals are equal and bisect each other at right angles is a :
rectangle which is not a square.
rhombus which is not a square.
square.
kite which is not a 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
State, 'true' or 'false' :
(i) The diagonals of a rectangle bisect each other.
(ii) The diagonals of a quadrilateral bisect each other.
(iii) The diagonals of a parallelogram bisect each other at right angle.
(iv) Each diagonal of a rhombus bisects it.
(v) The quadrilateral, whose four sides are equal, is a square.
(vi) Every rhombus is a parallelogram.
(vii) Every parallelogram is a rhombus.
(viii) Diagonals of a rhombus are equal.
(ix) If two adjacent sides of a parallelogram are equal, it is a rhombus.
(x) If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a square.
In the figure, given alongside, AM bisects angle A and DM bisects angle D of parallelogram ABCD. Prove that : ∠AMD = 90°.
