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Not necessarily. They can, but don't have to. A quadrilateral which does have congruent sides is called a rhombus.

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Q: Do a quadrilateral have congruent sides?
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If a quadrilateral has four congruent sides but its adjacent angles are not congruent then the quadrilateral is a?

An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.


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