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

Q: Quadrilateral with opposite sides and angles equal?

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rhombus

A square

quadrilateral

rectangle

(1) Parallelogram A parallelogram is a quadrilateral with two sets of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are equal.(2) SquareA square is a regular quadrilateral. This means that is has four equal sides and four equal angles.(3) RhombusA rhombus is a quadrilateral whose four sides all have the same length. Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular.(4) RectangleA rectangle normally refers to a quadrilateral with four right angles.ParallelogramSquareRhombus

Related questions

Parallogram

It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.

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.

A general quadrilateral.

a pentagon

A square.

A parallelogram.

It is no different from a quadrilateral.A quadrilateral is any shape with four sides and a rhombus has four sides, therefore it is a quadrilateral.

rhombus

a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles

rhombus

If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.