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Parallelogram

Q: What is a four sided shape with no lines of symmetry and opposite sides equal and parallel called?

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

a square

The shape has to be a parallelogram since it has no lines of symmetry and all sides are equal and parallel

rectangle, square, rhombus

Yes. A parallelogram is defined as having opposite sides that are parallel and equal in length, and opposite angles that are equal.

Related questions

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

a square

A rectangle.

Whether or not the opposing angles of a trapezoid (UK trapezium) are equal depends on the axis of symmetry. A trapezoid (trapezium) can be defined as a quadrilateral with one pair of opposite sides parallel. It is not a parallelogram because only one pair of sides is parallel. It is called a regular trapezoid if the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal

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

The shape has to be a parallelogram since it has no lines of symmetry and all sides are equal and parallel

rectangle, square, rhombus

Yes. A parallelogram is defined as having opposite sides that are parallel and equal in length, and opposite angles that are equal.

Yes. The opposite sides of a square are equal and parallel.

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.

Pentagon

An isosceles trapezoid is a 4 sided quadrilateral that has a pair of opposite parallel line of different lengths with equal base angles and 1 line of symmetry.