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Question
A rhombus can be constructed uniquely if both diagonals are given.
Options
True
False
Solution
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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