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Q: What shape has four sides with opposite sides equal in length no right angles and no lines of symmetry?

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Opposite sides are equal in length. Opposite angles are equal. It is also known as a parallelogram.

Only the pair of angles opposite the line of symmetry are equal. The other two angles that are bisected by the line of symmetry are not equal. if these angles were equal then the shape would be a rhombus.

Yes, each pair of two opposite sides is parallel and equal in length. This is necessary to achieve the symmetry of the angles.

A rectangle.

square

Parallelogram

Rhombus!

Pentagon

opposite sides are equal in length and parallel opposite angles are equal adjacent angles add up to 180 degrees no lines of symmetry base x vertical height = area sum of internal angles = 360 degrees sum of external angles = 360 degrees

The answer is any rectangle that is not a square: such a rectangle has two lines of symmetry, whereas a square has four.

A square or a rhombus

Yes, a regular hexagon has ALL sides the same length and ALL angles equal. If you flatten it somewhat (like the profile of a lens) then the sides may still have the same length but some angles will be larger than others if opposite angles are the same than there will be symmetry. (there are many other options to retain symmetry in a hexagon this is but one)

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