Parallelogram facts for kids
A parallelogram is a polygon with four sides (a quadrilateral). It has two pairs of parallel sides (sides which never meet) and four edges. The opposite sides of a parallelogram have the same length (they are equally long). The word "parallelogram" comes from the Greek word "parallelogrammon" (bounded by parallel lines). Rectangles, rhombuses, and squares are all parallelograms.
As shown in the picture on the right, because triangles ABE and CDE are congruent (have the same shape and size),
In all Parallelogram's opposite angles are equal to each other. Angles which are not opposite in the Parallelogram will add up to 180 degrees.
Characterizations
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
- Two pairs of opposite angles are equal in measure
- The diagonals bisect each other
- One pair of opposite sides are parallel and equal in length
- Adjacent angles are supplementary
- Each diagonal divides the quadrilateral into two congruent triangles
- The sum of the squares of the sides equals the sum of the squares of the diagonals. (This is the parallelogram law)
- It has rotational symmetry of order 2
- It has two lines of symmetry
Properties
- Opposite sides of parallelogram are parallel.
- Any line through the midpoint of a parallelogram bisects the area.
- Parallelograms are quadrilaterals.
a good fact paralleogram parall in it A parallelogram is a polygon with four sides (a quadrilateral). It has two pairs of parallel sides (sides which never meet) and four edges. The opposite sides of a parallelogram have the same length (they are equally long). The word "parallelogram" comes from the Greek word "parallelogrammon" (bounded by parallel lines).[1] Rectangles, rhombuses, and squares are all parallelograms.
As shown in the picture on the right, because triangles ABE and CDE are congruent (have the same shape and size),
{\displaystyle AE=CE} {\displaystyle AE=CE} {\displaystyle BE=DE.} {\displaystyle BE=DE.} In all Parallelogram's opposite angles are equal to each other. Angles which are not opposite in the Parallelogram will add up to 180 degrees.
Contents 1 Characterizations 2 Properties 3 References 4 Other websites Characterizations A simple (non self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true:[2][3]
Two pairs of opposite sides are equal in length Two pairs of opposite angles are equal in measure The diagonals bisect each other One pair of opposite sides are parallel and equal in length Adjacent angles are supplementary Each diagonal divides the quadrilateral into two congruent triangles The sum of the squares of the sides equals the sum of the squares of the diagonals. (This is the parallelogram law) It has rotational symmetry of order 2 It has two lines of symmetry Properties Opposite sides of parallelogram are parallel. Any line through the midpoint of a parallelogram bisects the area. Parallelograms are quadrilaterals. References "Online Etymology Dictionary". etymonline.com. Retrieved 10 January 2011. Owen Byer, Felix Lazebnik and Deirdre Smeltzer, Methods for Euclidean Geometry, Mathematical Association of America, 2010, pp. 51-52. Zalman Usiskin and Jennifer Griffin, "The Classification of Quadrilaterals. A Study of Definition", Information Age Publishing, 2008, p. 22. Other websites Wikimedia Commons has media related to Parallelograms. Parallelogram and Rhombus - Animated course (Construction, Circumference, Area) Interactive Parallelogram --sides, angles and slope
This short article about mathematics can be made longer. You can help Wikipedia by adding to it.
this is a parallelogram a good fact paralleogram parall in it
Category: Polygons Navigation menu Not logged in Talk Contributions Create account Log in PageTalk ReadChangeChange sourceView historySearch Search Wikipedia Main page Simple start Simple talk New changes Show any page Help Contact us Give to Wikipedia About Wikipedia Tools What links here Related changes Upload file Special pages Permanent link Page information Cite this page Wikidata item Sandbox Print/export Make a book Download as PDF Page for printing In other projects Wikimedia Commons
In other languages Deutsch English Español Français 한국어 Italiano Tagalog Tiếng Việt 中文 79 more Change links This page was last changed on 12 January 2021, at 14:46. Text is available under the Creative Commons Attribution/Share-Alike License and the GFDL; additional terms may apply. See Terms of Use for details.
Images for kids
-
Animation for the area formula K = bh.
See also
In Spanish: Paralelogramo para niños
