Choose whether given statement is true or false:

A rhombus can be constructed uniquely if both diagonals are given.

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True

False

answer is A.

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Detailed Solution

Given statement is a rhombus can be constructed uniquely if both diagonals are given.
As we know in rhombus the opposite sides are parallel and opposite angles are equal.
If we know the sides of rhombus only then we cannot construct a unique rhombus because specific angles will be required to construct a rhombus, or if all angles are given then also, we cannot construct a rhombus uniquely because a side length will be required to construct a rhombus. But if the diagonals of the rhombus are given then we can construct a rhombus uniquely. Hence the given statement is true that we can construct a rhombus when its diagonals are given to us.
Hence, the statement is true and option 1 is correct.

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