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प्रश्न
A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ______.
विकल्प
rhombus
parallelogram
square
rectangle
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उत्तर
A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a rhombus.
Explanation:
All sides of a rhombus are equal and the diagonals bisect each other at right angles. It is also applicable for square but it is a superior form of rhombus whose all angles are equal.
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संबंधित प्रश्न
All rhombuses are parallelograms.
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?
In the following Figure ABCD is a arallelogram, CE bisects ∠C and AF bisects ∠A. In each of the following, if the statement is true, give a reason for the same:
(i) ∠A = ∠C
(ii) \[\angle FAB = \frac{1}{2}\angle A\]
(iii) \[\angle DCE = \frac{1}{2}\angle C\]
(iv) \[\angle CEB = \angle FAB\]
(v) CE || AF
In a parallelogram ABCD, AB = 10 cm, AD = 6 cm. The bisector of ∠A meets DC in E, AEand BC produced meet at F. Find te length CF.
Which of the following statement is true for a rhombus?
It is a parallelogram.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.
If the diagonal of a rhombus are equal, then the rhombus is a
Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
