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प्रश्न
A rhombus can be constructed uniquely if both diagonals are given.
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
- Here only 2 measurements of the rhombus are given, i.e., the diagonals. However, since it is a rhombus, we can find more help from its properties.
- The diagonals of a rhombus are perpendicular bisectors of one another.
- So, first draw AC (anyone diagonal) and then construct its perpendicular bisector. Let them meet at E. Cut off half the length of second diagonal on either side of the drawn bisector.
- You now get B and D. Similarly, get A and C, draw the rhombus now.
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संबंधित प्रश्न
In the following figure, ABCD is a rhombus and DCFE is a square.
If ∠ABC =56°, find:
(i) ∠DAE
(ii) ∠FEA
(iii) ∠EAC
(iv) ∠AEC
Prove that the quadrilateral formed by joining the mid-points of consecutive sides of a rectangle is a rhombus.
Prove that the quadrilateral formed by joining the mid-points of consecutive sides of a rhombus is a rectangle.
Prove that if the diagonals of a quadrilateral bisect each other at right angles then it is a rhombus.
Prove that the area of a rhombus is equal to half the rectangle contained by its diagonals.
Diagonals of a rhombus are equal and perpendicular to each other.
The diagonals of a rhombus are 8 cm and 15 cm. Find its side.
In rhombus BEAM, find ∠AME and ∠AEM.
