In Euclidean geometry, a parallelogram is a simple (non self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations.
A simple (non self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true;
Two pairs of opposite sides are equal in length
One pair of opposite sides are parallel and equal in length.
source:From Wikipedia, the free encyclopedia;Subject: Parallelogram.
square
The figure you are describing is a rhombus. A rhombus has two sets of parallel sides, all sides of equal length, and features two acute angles and two obtuse angles. The properties of angles in a rhombus ensure that opposite angles are equal, with the sum of adjacent angles being 180 degrees.
A square, rectangle, or quadrilateral
rhombus (although the angles can technically be right angles as well)
triangle
A four-sided figure with two pairs of parallel sides the same length and four right angles is called a square.
Square
square
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.
The figure you are describing is a rhombus. A rhombus has two sets of parallel sides, all sides of equal length, and features two acute angles and two obtuse angles. The properties of angles in a rhombus ensure that opposite angles are equal, with the sum of adjacent angles being 180 degrees.
A square, rectangle, or quadrilateral
rhombus (although the angles can technically be right angles as well)
triangle
A rhombus. A square is one special rhombus with right angles.
irregular trapezoid
To conclude that a figure is a rectangle, you need information about its angles and sides. Specifically, you should verify that all four angles are right angles (90 degrees) or that opposite sides are equal in length and parallel. Additionally, knowing that the diagonals are equal in length would further confirm that the figure is a rectangle.
A four-sided figure with 90-degree angles is called a rectangle. If all sides are of equal length, it is specifically known as a square. Both shapes belong to the category of quadrilaterals and have opposite sides that are parallel and equal in length.