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Q: What is the name of a quadrilateral with no right angles and four sides of equal length?

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It is a rhombus

a pentagon

Square

It is an isosceles trapezoid.

A square..

A square

rhombus. The rhombus is a quadrilateral with all sides equal in length. It is also a parallelogram, so opposite sides are parallel and equal in length, and opposite angles are equal.

It is a parallelogramIf one of the angles is a right angle (then they all are) and the quadrilateral is a rectangle.If both pairs of sides are equal in length (but none of the angles is a right angle) the quadrilateral is a rhombus.If the sides are equal and one of the angles is a right angle, the quadrilateral is a square.

An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.

If you mean all right angles are equal in MEASURE, then this would be a square or a rectangle, but if you meant 4 right angles and 4 sides of equal length then that would be a square.

square

rectangle

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