# What is a four sided figure with opposite sides equal and parallel and opposite angles equal?

If one set of opposite sides is equal and parallel then both
are. The figure is a **PARALLELOGRAM** and the opposite angles
of course must be equal.

(see related links below)

Parallelograms include rectangles (four right angles) and rhomboids (two opposite acute angles and two opposite obtuse angles).

A square is a type of rectangle (all sides equal).

A rhombus is a type of rhomboid (all sides equal).

Although a square could be considered *an equiangular
rhombus*, it is usually considered a separate type of shape.

### What figure has one pair of parallel sides?

A parallelogram has opposite pair of sides equal and parallel.A rhombus which is also a type of parallelogram has all sides equal and also opposite sides are parallel.A rectangle has opposite sides equal and parallel and all angles are of 90 degrees. A trapezium has one pair of opposite sides parallel,an isoceles trapezium has one pair of opposite sides equal and parallel.A square is like a rhombus with all angles of 90 degrees.

### Similarities between rhombus and square?

The following statements refer to both a rhombus and a square: -- The figure is a quadrilateral (has four sides). -- All four of the figure's sides are equal. -- Opposite sides of the figure are parallel. -- The figure has four angles. -- Opposite angles are equal. -- The sum of the interior angles is 360 degrees. Note that a square is one special case of a rhombus.

### What quadrilateral has no equal angles and its opposite sides are parallell?

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.

### What is a quadrilateral with opposite sides and opposite angles?

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).

### Why are all rectangles examples of parallelograms but all parallelograms are not rectangles?

To be a parallelogram, the figure needs both sets of opposite sides to be parallel. A rectangle needs to have four right angles. This means the rectangle has to be a parallelogram. However, you can have opposite sides parallel without having right angles, as long as opposite angles are equal to each other,

### What is true about both a rhombus and a square?

-- Opposite sides are parallel. -- Opposite sides are equal. -- All four sides are equal. -- Adjacent sides are equal. -- Adjacent angles are supplementary. -- Opposite angles are equal. -- Diagonals are perpendicular. -- Interior angles sum to two straight angles. -- Exterior angles sum to two straight angles.

### What is a parrallelogram that is both a rectangle and a rhombus?

A parallelogram has opposite sides equal and parallel. A rectangle means the angles are all 90o as well as opposite sides being equal and parallel A rhombus means all sides are equal in length as well as opposite sides being parallel A parallelogram with angles of 90o (also a rectangle) and all sides equal (also a rhombus) is a square.

### What are opposite angles?

Opposite angles are angles across from each other in intersecting lines. For example, see the figure below: a-> X <- b Angle 'a' and angle 'b' are equal to each other. The two unnamed angles at the top and bottom of the figure are also equal. Polygons Opposite angles are across the axis of the shape from each other, as in a parallelogram (quadrilateral) which has two pairs of opposite angles.