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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.
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उत्तर
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संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
Which of the following statement is true for a rhombus?
It is a quadrilateral.
Fill in the blank, inthe following, so as to make the statement true:
A square is a rhombus in which .....
Construct a rhombus whose diagonals are of length 10 cm and 6 cm.
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?
Which of the following statement is true for a rectangle?
Its diagonals are equal and bisect each other.
In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rhombus.
Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.
