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प्रश्न
Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
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उत्तर
It is not necessary that a quadrilateral having perpendicular diagonals is a rhombus.
E.g. Consider a trapezium ABCD in which AB || CD.
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संबंधित प्रश्न
All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides of the parallelogram.
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 has two pairs of parallel sides.
Which of the following statement is true for a rhombus?
It has all its sides of equal lengths.
Fill in the blank, in the following, so as to make the statement true:
A rhombus is a parallelogram in which ......
Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.
If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.
Measure of one angle of a rhombus is 50°, find the measures of remaining three angles.
All rhombuses are squares.
