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प्रश्न
The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.
उत्तर
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संबंधित प्रश्न
Given below is a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD =
(ii) ∠DCB =
(iii) OC =
(iv) ∠DAB + ∠CDA =
The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.
Which of the following statement is true for a rhombus?
Two of its angles are at right angles
Which of the following statement is true for a rhombus?
It has all its sides of equal lengths.
Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.
ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.
The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.
If all sides of a quadrilateral are equal, it is a ______.