{"id":5939,"date":"2013-05-17T13:48:22","date_gmt":"2013-05-17T13:48:22","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=5939"},"modified":"2014-12-02T08:27:01","modified_gmt":"2014-12-02T08:27:01","slug":"types-of-quadrilaterals","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/types-of-quadrilaterals\/","title":{"rendered":"Types of Quadrilaterals"},"content":{"rendered":"

Overview:\u00a0 What Are Quadrilaterals?<\/strong>
\nQuadrilaterals are polygons with four sides.\u00a0 They are classified according to measures of equal angles and equal sides.\u00a0 There are seven different types of quadrilaterals: parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid.\u00a0 Types of quadrilaterals often overlap, so that a figure that fits in one category may also fit in another.\u00a0 Each has its own special features.<\/p>\n

Definitions<\/strong>
\nA quadrilateral is a parallelogram if both pairs of its opposite sides are parallel.\u00a0 A rhombus is a type of quadrilateral with all sides the same length.\u00a0 A rectangle has 4 right angles, and a square has four equal sides and four right angles.\u00a0 These definitions exist in a hierarchy of relationships.\u00a0 For example, every square is also a parallelogram, because both pairs of its opposite sides are equal, but every parallelogram is not a square.\u00a0 Similarly, every square is also a rhombus, because all four sides are the same length, but every rhombus is not a square.\u00a0 Likewise, every square is also a rectangle, because a rectangle has 4 right angles, but every rectangle is not a square.<\/p>\n

Kites<\/strong>
\nKites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length.\u00a0 Because rhombi and squares also have sides the same length, they are also kites, but the reverse is not true.\u00a0 Every kite is not a rhombus, because all sides of a kite are not equal.\u00a0 Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.<\/p>\n

Trapezoids<\/strong>
\nTrapezoids are quadrilaterals that have one pair of parallel sides.\u00a0 \u00a0The parallel sides are called bases.\u00a0 If the base angles are equal, the trapezoid is a special type called an isosceles trapezoid.\u00a0 Rectangles are a special type of isosceles trapezoid with opposite sides parallel and equal angles.<\/p>\n

Diagonals<\/strong>
\nQuadrilaterals have two diagonal lines.\u00a0 In \u00a0a kite, the diagonal joining the ends forms a line of symmetry.\u00a0 In a rhombus, both diagonals form lines of symmetry.\u00a0 Lines of symmetry hold powerful properties that help measure angles, area, and relationships between geometric figures.<\/p>\n

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Overview:\u00a0 What Are Quadrilaterals? Quadrilaterals are polygons with four sides.\u00a0 They are classified according to measures of equal angles and equal sides.\u00a0 There are seven different types of quadrilaterals: parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid.\u00a0 Types of quadrilaterals often overlap, so that a figure that fits in one category may also fit […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[1002,1283,1460,1503,1547,1713,1852],"class_list":["post-5939","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-kite","tag-parallelogram","tag-quadrilaterals","tag-rectangle","tag-rhombus","tag-square","tag-trapezoid"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/5939","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=5939"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/5939\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=5939"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=5939"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=5939"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}