answersLogoWhite

0

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.

User Avatar

Wiki User

12y ago

What else can I help you with?

Related Questions

Four-sided figure with two pairs of parallel sides the same length and four right angles?

A four-sided figure with two pairs of parallel sides the same length and four right angles is called a square.


What figure has 2 sets of parallel sides and 4 right angles and have the same length?

Square


I am a two dimensional figure you have two pairs of parallel sides none of your angles are right angles and all of your sides are the same length what are you?

square


I am a quadrilateral that has 4 right angles. My opposite sides are parallel and of equal length. What figure am I?

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.


What is a figure with 2 sets of parallel sides all sides the same length 2 acute angles and 2 obtuse angles?

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.


What is a figure that has 2 sets of parallel sides and 4 right angles all the sides are the same length what are the 3 names for the figure?

A square, rectangle, or quadrilateral


What is a two dimensional figure with two pairs of parallel sides and none of your angles is a right angle and all of your sides are the same length?

rhombus (although the angles can technically be right angles as well)


What is a name for a 2 dimensional figure with 2 pairs of parallel sides and angles that have same measurements and sides are same length?

triangle


What is a figure with opposites sides parallel and all sides of equal length?

A rhombus. A square is one special rhombus with right angles.


What figure is 2 dimensional with two pairs of parallel sides has no right angles and all sides are not the same length?

irregular trapezoid


What other information do you need to conclude that the figure is a rectangle?

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.


What is a 4 sided figure with 90 degree angles?

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.