Advertisements
Advertisements
प्रश्न
A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ______.
पर्याय
rhombus
parallelogram
square
rectangle
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
All rhombuses are parallelograms.
Can the following figure be parallelogram. Justify your answer.
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
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?
Its diagonals bisect each other at right angles.
Fill in the blank, in the following, so as to make the statement true:
The diagonals of a rhombus ...... each other at ...... angles.
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
Construct a rhombus whose diagonals are of length 10 cm and 6 cm.
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.
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?
