Q: If one side of a quadrilateral is congruent can it be always parallelograms be congruent?

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true

this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.

The question is self-contradictory.

No you could have Square, Rectangle, Rhombus, Parallelogram

It could also be a square or a rhombus.

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Yes Note: A square, rectangle and rhombus are special cases of parallelograms.

true

this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.

Not necessarily.

The question is self-contradictory.

No you could have Square, Rectangle, Rhombus, Parallelogram

It could also be a square or a rhombus.

The diagonals of a square. Each equals to s√2, where s is the side-length of the square. A rectangle and an isosceles trapezoid also have congruent diagonals.

A kite

a square

No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.

Parallelogram and a rectangle