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state whether the statement are true (T)...

state whether the statement are true (T) or false (F)
For constructing a unique parallelogram lengths of only two sides should be given.

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To determine whether the statement "For constructing a unique parallelogram, lengths of only two sides should be given" is true or false, we can analyze the requirements for constructing a unique parallelogram. ### Step-by-Step Solution: 1. **Understanding Parallelograms**: A parallelogram is a four-sided figure (quadrilateral) where opposite sides are equal in length and parallel, and opposite angles are equal. 2. **Given Information**: The statement claims that knowing only the lengths of two sides is sufficient to construct a unique parallelogram. 3. **Analyzing the Statement**: - When only two sides are given, we can have multiple configurations of the parallelogram. For example, if we have two sides of equal lengths, we can create different angles between these sides, leading to different shapes of parallelograms. - A unique parallelogram requires additional information, such as an angle or the lengths of the other two sides. 4. **Conclusion**: Since knowing only the lengths of two sides does not provide enough information to determine a unique parallelogram, the statement is **False**. ### Final Answer: The statement is **False (F)**. ---
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