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Any non-square rhombus. From Wikipedia:
Every rhombus is a parallelogram, and a rhombus with right angles is a square. (Euclid's original definition and some English dictionaries' definition of rhombus excludes squares, but modern mathematicians prefer the inclusive definition.)
(And as long as you're just talking about the length of those sides -- which is the only sensible interpretation of the question -- it's clearer to call them "equal" than "congruent".)
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What is a quadrilateral that has four congruent sides and its diagonals are congruent?
Square.
If a quadrilateral has four congruent sides and its diagnols are congruent?
A square.
What is a quadrilateral with four congruent sides?
A square. Parallelogram * * * * * No. It is a rhombus and a square is a special case of a rhombus. A parallelogram does not have four congruent sides, but two pairs of sides that are congruent to one another.
What shape has 4 congruent sides and 2 pairs of congruent angles?
Angles and sides are congruent when they are identical. A shape with four identical sides and angles is a square.
A quadrilateral with four right angles and four congruent sides?
A square.
