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Q: Which quadrillateral is a parallelogram with 4 congruent sides and no right angles?
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A parallelogram with no right angles an four congruent sides?

A parallelogram with no right angles and four congruent sides is a Rhombus.


What quadrillateral has four right angles and opposite sides are congruent?

It is a rectangle unless all sides are congruent, in which event it is a square.


What is a parallelogram that has all sides congruent or is there not one?

A square is the parallelogram that has all sides congruent. A square also has four angles that are all right angles.


What parallelogram has four congruent sides but no right angles?

a rhombus


Parallelogram with right angles but not four congruent sides?

Rectangle.