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प्रश्न
If a diagonal of a quadrilateral bisects both the angles, then it is a ______.
विकल्प
kite
parallelogram
rhombus
rectangle
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उत्तर
If a diagonal of a quadrilateral bisects both the angles, then it is a rhombus.
Explanation:
A parallelogram is a quadrilateral whose diagonal bisects both angles. It is also true for rhombus and rectangle but in a rhombus all the sides are also equal and in a rectangle all the angles are also equal.
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संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Can the following figure be parallelogram. Justify your answer.

In a parallelogram ABCD, ∠D = 135°, determine the measure of ∠A and ∠B.
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?
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?
Two of its angles are at right angles
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.
Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.
All rhombuses are squares.
