{"id":105,"date":"2020-11-17T14:18:04","date_gmt":"2020-11-17T19:18:04","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/chapter\/create-a-perpendicular-line\/"},"modified":"2023-03-17T13:01:25","modified_gmt":"2023-03-17T17:01:25","slug":"create-a-perpendicular-line","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/chapter\/create-a-perpendicular-line\/","title":{"raw":"Create a Perpendicular Line","rendered":"Create a Perpendicular Line"},"content":{"raw":"<h1>Create a Perpendicular Line at the Middle of a Line<\/h1>\n<ol>\n \t<li>Draw a line.\n<img class=\"wp-image-96 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2021\/07\/Step-1_2-1.gif\" alt=\"\" width=\"1000\" height=\"350\"><\/li>\n \t<li><strong>[pb_glossary id=\"507\"]Bisect[\/pb_glossary]<\/strong> the line.\n<img class=\"wp-image-97 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-2_2-1.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n \t<li>In bisecting the line, we have created a <strong>[pb_glossary id=\"520\"]perpendicular[\/pb_glossary]<\/strong> line (x-y axis).<img class=\"wp-image-98 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-3_1-4.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n<\/ol>\n<h1>Create a Perpendicular Line at the End of a Line<\/h1>\n<strong>\u00a0<\/strong>\n<ol>\n \t<li>Draw a line.\n<img class=\"wp-image-99 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-1_2-2.gif\" alt=\"\" width=\"1000\" height=\"350\"><\/li>\n \t<li>Set your compass to a <strong>[pb_glossary id=\"515\"]radius[\/pb_glossary]<\/strong> of reasonable distance.\n<img class=\"wp-image-100 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-2_3.gif\" alt=\"\" width=\"1000\" height=\"350\"><\/li>\n \t<li>Swing that <strong>arc<\/strong> from the end of the line.<img class=\"wp-image-101 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-3_1-5.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n \t<li>Using the same distance (radius) on your compass, swing that distance along the arc twice. Each time you swing the radius along its own arc\/<strong>[pb_glossary id=\"512\"]circumference[\/pb_glossary]<\/strong>, it create a 60\u00b0 angle and <strong>[pb_glossary id=\"516\"]sector[\/pb_glossary]<\/strong>.<strong><img class=\"wp-image-102 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-4_1-6.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/strong><\/li>\n \t<li>Bisect the arc between the last two points. We are bisecting the second 60\u00b0 sector to create two 30\u00b0 sectors. If we then look at the arc, we have a 60\u00b0 sector and a 30\u00b0 sector, which combine to make a 90\u00b0 <strong>[pb_glossary id=\"519\"]quadrant[\/pb_glossary]<\/strong>.<img class=\"wp-image-103 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-5_2.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n \t<li>From the end of the line, draw a line through the last point.<img class=\"wp-image-104 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-6_1-1.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n<\/ol>","rendered":"<h1>Create a Perpendicular Line at the Middle of a Line<\/h1>\n<ol>\n<li>Draw a line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-96 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2021\/07\/Step-1_2-1.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li><strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_105_507\">Bisect<\/a><\/strong> the line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-97 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-2_2-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<li>In bisecting the line, we have created a <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_105_520\">perpendicular<\/a><\/strong> line (x-y axis).<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-98 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-3_1-4.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<\/ol>\n<h1>Create a Perpendicular Line at the End of a Line<\/h1>\n<p><strong>\u00a0<\/strong><\/p>\n<ol>\n<li>Draw a line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-99 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-1_2-2.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li>Set your compass to a <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_105_515\">radius<\/a><\/strong> of reasonable distance.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-100 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-2_3.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li>Swing that <strong>arc<\/strong> from the end of the line.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-101 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-3_1-5.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<li>Using the same distance (radius) on your compass, swing that distance along the arc twice. Each time you swing the radius along its own arc\/<strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_105_512\">circumference<\/a><\/strong>, it create a 60\u00b0 angle and <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_105_516\">sector<\/a><\/strong>.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-102 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-4_1-6.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>Bisect the arc between the last two points. We are bisecting the second 60\u00b0 sector to create two 30\u00b0 sectors. If we then look at the arc, we have a 60\u00b0 sector and a 30\u00b0 sector, which combine to make a 90\u00b0 <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_105_519\">quadrant<\/a><\/strong>.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-103 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-5_2.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<li>From the end of the line, draw a line through the last point.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-104 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-6_1-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<\/ol>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_105_507\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_105_507\"><div tabindex=\"-1\"><p>to divide in half<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_105_520\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_105_520\"><div tabindex=\"-1\"><p>a line\/plane which is 90\u00b0 to another<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_105_515\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_105_515\"><div tabindex=\"-1\"><p>the distance from center to any point of the circumference, half the diameter<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_105_512\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_105_512\"><div tabindex=\"-1\"><p>the distance around a circle, perimeter of a circle<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_105_516\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_105_516\"><div tabindex=\"-1\"><p>the area of a circle bound by 2 radii and an arc<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_105_519\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_105_519\"><div tabindex=\"-1\"><p>a sector which equals one quarter of the area of a circle<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":1078,"menu_order":7,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-105","chapter","type-chapter","status-publish","hentry"],"part":18,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/users\/1078"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/105\/revisions"}],"predecessor-version":[{"id":555,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/105\/revisions\/555"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/parts\/18"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/105\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/media?parent=105"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapter-type?post=105"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/contributor?post=105"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/license?post=105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}