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This is all about the vocabulary. First, quadrilateral, ok so a quadrilateral is a shape with four sides. Next, congruent; congruent basically means equal. So we can say what shape has four equal sides and right angles? Your basic shapes with four sides would be a trapezoid, a parallelogram, a rhombus, a rectangle or a square. The square is the only one of these that fits.
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What quadrilateral has 4 congruent sides and no right angles?
Rhombus. Because a Rhombus has four congruent sides but no right angles.
Quadrilateral with only right angles and congruent sides?
Square
Quadrilateral with 4 congruent sides and no right angles?
Rhombus
What quadrilateral has all sides congruent but does not have any right angles?
It is a rhombus that has 4 equal sides but no right angles.
What quadrilateral has 4 right angles and 2 congruent sides?
A quadrilateral with 4 right angles cannot have just two congruent sides so, unless this is a trick question (2 congruent sides does not excluded the possibility of more than 2 congruent sides), the answer is there is no such plane figure.
