{"id":101,"date":"2021-08-13T13:21:50","date_gmt":"2021-08-13T17:21:50","guid":{"rendered":"https:\/\/opentextbc.ca\/patterndevelopment\/chapter\/create-a-perpendicular-line\/"},"modified":"2021-08-13T13:31:09","modified_gmt":"2021-08-13T17:31:09","slug":"create-a-perpendicular-line","status":"web-only","type":"chapter","link":"https:\/\/opentextbc.ca\/patterndevelopment\/chapter\/create-a-perpendicular-line\/","title":{"raw":"Create a Perpendicular Line","rendered":"Create a Perpendicular Line"},"content":{"raw":"\n<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-679 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-1_2-1.gif\" alt=\"\" width=\"1000\" height=\"350\"><\/li>\n \t<li><strong>[pb_glossary id=\"474\"]Bisect[\/pb_glossary]<\/strong> the line.\n<img class=\"wp-image-680 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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=\"500\"]perpendicular[\/pb_glossary]<\/strong> line (x-y axis).<img class=\"wp-image-681 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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>&nbsp;<\/strong>\n<ol>\n \t<li>Draw a line.\n<img class=\"wp-image-691 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-1_2-2.gif\" alt=\"\" width=\"1000\" height=\"350\"><\/li>\n \t<li>Set your compass to a <strong>[pb_glossary id=\"495\"]radius[\/pb_glossary]<\/strong> of reasonable distance.\n<img class=\"wp-image-685 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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-686 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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=\"492\"]circumference[\/pb_glossary]<\/strong>, it create a 60\u00b0 angle and <strong>[pb_glossary id=\"496\"]sector[\/pb_glossary]<\/strong>.<strong><img class=\"wp-image-687 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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=\"498\"]quadrant[\/pb_glossary]<\/strong>.<img class=\"wp-image-688 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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-689 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-6_1-1.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n<\/ol>\n","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-679 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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_101_474\">Bisect<\/a><\/strong> the line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-680 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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_101_500\">perpendicular<\/a><\/strong> line (x-y axis).<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-681 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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>&nbsp;<\/strong><\/p>\n<ol>\n<li>Draw a line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-691 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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_101_495\">radius<\/a><\/strong> of reasonable distance.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-685 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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-686 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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_101_492\">circumference<\/a><\/strong>, it create a 60\u00b0 angle and <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_101_496\">sector<\/a><\/strong>.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-687 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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_101_498\">quadrant<\/a><\/strong>.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-688 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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-689 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/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_101_474\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_101_474\"><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_101_500\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_101_500\"><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_101_495\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_101_495\"><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_101_492\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_101_492\"><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_101_496\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_101_496\"><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_101_498\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_101_498\"><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":90,"menu_order":13,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-101","chapter","type-chapter","status-web-only","hentry"],"part":26,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/101","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/101\/revisions"}],"predecessor-version":[{"id":521,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/101\/revisions\/521"}],"part":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/parts\/26"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/101\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/media?parent=101"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapter-type?post=101"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/contributor?post=101"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/license?post=101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}