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Q: What is a quadrilateral with all sides congruent and opposite angles congruent?

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The question is self-contradictory.

square

A rectangle.

A square

quadrilateral--a four-sided figure, any length sides, any angles trapezoid--one pair of parallel sides, any length sides, any angles parallelogram--two pairs of parallel sides, opposite sides congruent, opposite angles congruent rectangle--two pairs of parallel sides, opposite sides congruent, all angles are right angles (90 degrees) rhombus--two pairs of parallel sides, all sides congruent, opposite angles congruent square--two pairs of parallel sides, all sides congruetn, all angles are right angles (90 degrees)

Related questions

its a shape

rhombus

A parallelogram has opposite sides and angles congruent which means of equal measure.

The question is self-contradictory.

Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.

rhombus

It is a rectangle.

Square

polygon

square

A parallelogram has the 2 pair of opposite congruent sides, but a rectangle (special case of parallelogram) also has the four congruent angles.

An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.

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