Mathematics
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
kite which is not a square
square
Rectilinear Figures
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Answer
In square the diagonals are equal and bisect each other at right angles.
Hence, Option 4 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.
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
In the adjoining figure, ABCD is a parallelogram. CB is produced to E such that BE = BC. Prove that AEBD is a parallelogram.
In the adjoining figure, ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || BA. Show that
(i) ∠DAC = ∠BCA
(ii) ABCD is a parallelogram.