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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
Given below is a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD =
(ii) ∠DCB =
(iii) OC =
(iv) ∠DAB + ∠CDA =
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If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
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?
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Its diagonals are equal and perpendicular.
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.
In rhombus ABCD;
(i) if ∠A = 74° ; find ∠B and ∠C.
(ii) if AD = 7.5 cm ; find BC and CD.
If all sides of a quadrilateral are equal, it is a ______.
A rhombus is a parallelogram in which ______ sides are equal.
