{"id":10764,"date":"2017-06-05T15:55:12","date_gmt":"2017-06-05T15:55:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10764"},"modified":"2020-01-09T02:03:14","modified_gmt":"2020-01-09T02:03:14","slug":"summary-using-properties-of-rectangles-triangles-and-trapezoids","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/summary-using-properties-of-rectangles-triangles-and-trapezoids\/","title":{"raw":"Summary: Using Properties of Rectangles, Triangles, and Trapezoids","rendered":"Summary: Using Properties of Rectangles, Triangles, and Trapezoids"},"content":{"raw":"<h1 style=\"text-align: center;\"><span style=\"color: #ff0000; background-color: #999999;\">End of textbook section. After reviewing the content below,\r\nClose this tab and proceed to the assignment\u00a0<\/span><\/h1>\r\n<h2 data-type=\"title\">Key Concepts<\/h2>\r\n<ul id=\"eip-87\">\r\n \t<li><strong>Properties of Rectangles<\/strong>\r\n<ul id=\"eip-id1168921412515\">\r\n \t<li>Rectangles have four sides and four right ([latex]90^\\circ[\/latex]) angles.<\/li>\r\n \t<li>The lengths of opposite sides are equal.<\/li>\r\n \t<li>The perimeter, [latex]P[\/latex] , of a rectangle is the sum of twice the length and twice the width.\r\n<ul id=\"eip-id1168933998684\">\r\n \t<li>[latex]P=2L+2W[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>The area, [latex]A[\/latex] , of a rectangle is the length times the width.\r\n<ul id=\"eip-id5597402\">\r\n \t<li>[latex]A=L\\cdot W[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Triangle Properties<\/strong>\r\n<ul id=\"eip-id7402430\">\r\n \t<li>For any triangle [latex]\\Delta ABC[\/latex] , the sum of the measures of the angles is [latex]180^\\circ[\/latex].\r\n<ul id=\"eip-id1170244913551\">\r\n \t<li>[latex]m\\angle A+m\\angle B+m\\angle C=180^\\circ [\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>The perimeter of a triangle is the sum of the lengths of the sides.\r\n<ul id=\"eip-id1170253352636\">\r\n \t<li>[latex]P=a+b+c[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>The area of a triangle is one-half the base, b, times the height, h.\r\n<ul id=\"eip-id1170239311614\">\r\n \t<li>[latex]A=\\Large\\frac{1}{2}\\normalsize bh[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h2 data-type=\"glossary-title\">Glossary<\/h2>\r\n<dl id=\"fs-id1927628\" class=\"definition\">\r\n \t<dt><strong>area<\/strong><\/dt>\r\n \t<dd id=\"fs-id1171505277192\">The area is a measure of the surface covered by a figure.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1933603\" class=\"definition\">\r\n \t<dt><strong>equilateral triangle<\/strong><\/dt>\r\n \t<dd id=\"fs-id1816092\">A triangle with all three sides of equal length is called an equilateral triangle.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1171506988885\" class=\"definition\">\r\n \t<dt><strong>isosceles triangle<\/strong><\/dt>\r\n \t<dd id=\"fs-id1674082\">A triangle with two sides of equal length is called an isosceles triangle.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1171497994973\" class=\"definition\">\r\n \t<dt><strong>perimeter<\/strong><\/dt>\r\n \t<dd id=\"fs-id1171505779039\">The perimeter is a measure of the distance around a figure.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1171488172541\" class=\"definition\">\r\n \t<dt><strong>rectangle<\/strong><\/dt>\r\n \t<dd id=\"fs-id1922026\">A rectangle is a geometric figure that has four sides and four right angles.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1171505990665\" class=\"definition\">\r\n \t<dt><strong>trapezoid<\/strong><\/dt>\r\n \t<dd id=\"fs-id2022585\">A trapezoid is four-sided figure, a quadrilateral, with two sides that are parallel and two sides that are not.<\/dd>\r\n<\/dl>","rendered":"<h1 style=\"text-align: center;\"><span style=\"color: #ff0000; background-color: #999999;\">End of textbook section. After reviewing the content below,<br \/>\nClose this tab and proceed to the assignment\u00a0<\/span><\/h1>\n<h2 data-type=\"title\">Key Concepts<\/h2>\n<ul id=\"eip-87\">\n<li><strong>Properties of Rectangles<\/strong>\n<ul id=\"eip-id1168921412515\">\n<li>Rectangles have four sides and four right ([latex]90^\\circ[\/latex]) angles.<\/li>\n<li>The lengths of opposite sides are equal.<\/li>\n<li>The perimeter, [latex]P[\/latex] , of a rectangle is the sum of twice the length and twice the width.\n<ul id=\"eip-id1168933998684\">\n<li>[latex]P=2L+2W[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li>The area, [latex]A[\/latex] , of a rectangle is the length times the width.\n<ul id=\"eip-id5597402\">\n<li>[latex]A=L\\cdot W[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><strong>Triangle Properties<\/strong>\n<ul id=\"eip-id7402430\">\n<li>For any triangle [latex]\\Delta ABC[\/latex] , the sum of the measures of the angles is [latex]180^\\circ[\/latex].\n<ul id=\"eip-id1170244913551\">\n<li>[latex]m\\angle A+m\\angle B+m\\angle C=180^\\circ[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li>The perimeter of a triangle is the sum of the lengths of the sides.\n<ul id=\"eip-id1170253352636\">\n<li>[latex]P=a+b+c[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li>The area of a triangle is one-half the base, b, times the height, h.\n<ul id=\"eip-id1170239311614\">\n<li>[latex]A=\\Large\\frac{1}{2}\\normalsize bh[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 data-type=\"glossary-title\">Glossary<\/h2>\n<dl id=\"fs-id1927628\" class=\"definition\">\n<dt><strong>area<\/strong><\/dt>\n<dd id=\"fs-id1171505277192\">The area is a measure of the surface covered by a figure.<\/dd>\n<\/dl>\n<dl id=\"fs-id1933603\" class=\"definition\">\n<dt><strong>equilateral triangle<\/strong><\/dt>\n<dd id=\"fs-id1816092\">A triangle with all three sides of equal length is called an equilateral triangle.<\/dd>\n<\/dl>\n<dl id=\"fs-id1171506988885\" class=\"definition\">\n<dt><strong>isosceles triangle<\/strong><\/dt>\n<dd id=\"fs-id1674082\">A triangle with two sides of equal length is called an isosceles triangle.<\/dd>\n<\/dl>\n<dl id=\"fs-id1171497994973\" class=\"definition\">\n<dt><strong>perimeter<\/strong><\/dt>\n<dd id=\"fs-id1171505779039\">The perimeter is a measure of the distance around a figure.<\/dd>\n<\/dl>\n<dl id=\"fs-id1171488172541\" class=\"definition\">\n<dt><strong>rectangle<\/strong><\/dt>\n<dd id=\"fs-id1922026\">A rectangle is a geometric figure that has four sides and four right angles.<\/dd>\n<\/dl>\n<dl id=\"fs-id1171505990665\" class=\"definition\">\n<dt><strong>trapezoid<\/strong><\/dt>\n<dd id=\"fs-id2022585\">A trapezoid is four-sided figure, a quadrilateral, with two sides that are parallel and two sides that are not.<\/dd>\n<\/dl>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-10764\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":12,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","CANDELA_OUTCOMES_GUID":"c9ee8951-c38f-4436-9e32-606489b6a75b","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10764","chapter","type-chapter","status-publish","hentry"],"part":7831,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10764","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":8,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10764\/revisions"}],"predecessor-version":[{"id":16137,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10764\/revisions\/16137"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/parts\/7831"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10764\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/media?parent=10764"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=10764"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/contributor?post=10764"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/license?post=10764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}