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Question

Since a quadrilateral has 4 sides, we can construct a unique quadrilateral if 4 sides are given. State true or false.

A
True
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B
False
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Solution

The correct option is B False
Suppose there is a quadrilateral with 4 given sides. The same four sides can be rearranged in an infinite number of configurations, each giving a different quadrilateral. In order to uniquely specify a quadrilateral, an additional variable (angle or diagonal) is required in addition to the 4 sides. The given statement is false.

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