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Q: I have 2 pairs of parallel sides. My opposite sides are equal in length. All my angles are equal in size. I have two lines of symmetry. What am I?

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

A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.

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

A parallelogram is a geometric quadrilateral with two pairs of parallel sides. The opposite sides and opposite angles are equal in length.

The practical answer is a parallelogram, which has two sets of parallel opposite sides and two sets of equal opposite angles. This includes rhombi, rectangles, and squares.A trapezoid (trapezium) has one set of parallel opposite sides that are not equal, but may have non-parallel opposite sides equal in length (isosceles trapezoid).

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 rectangle.

A shape with opposite sides parallel and of the same length and four right angles is a rectangle.

square

A Rhombus

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

Pentagon

square

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

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

A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.

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

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