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Properties of Regular Polygons

Infinite quad...

Question

Infinite quadrilaterals can be drawn with any given lengths of the 4 sides. State true or false.

A

ABC

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B

ADC

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Solution

The correct option is B
ADC

Just like in a triangle, in a quadrilateral, the sum of any 3 sides should be larger than the 4th side. Otherwise, the largest side cannot be connected. Hence, it is not possible to construct a quadrilateral if the given lengths do not satisfy this condition.

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