{"id":651,"date":"2012-02-02T04:44:17","date_gmt":"2012-02-02T04:44:17","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=651"},"modified":"2014-12-02T08:33:49","modified_gmt":"2014-12-02T08:33:49","slug":"tangent-to-a-circle","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/tangent-to-a-circle\/","title":{"rendered":"Tangent to a Circle"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>The <strong>tangent <\/strong>to a circle is a line circle that intersects the circle in exactly one point. The point where the tangent touches the circle is the <strong>point of tangency.<\/strong><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-652\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-1.png\" alt=\"\" width=\"248\" height=\"172\" \/><\/a><\/p>\n<p>Line n is tangent to circle O with point of tangency at P.<\/p>\n<p><strong>Property 1:<\/strong><\/p>\n<p>A tangent to a circle is perpendicular to the radius drawn to the point of tangency.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-653\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-2.png\" alt=\"\" width=\"229\" height=\"176\" \/><\/a><\/p>\n<p>OP is perpendicular to tangent line n.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Property 2:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoNormal\">Tangent segments to a circle from a point outside the circle are congruent.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-654\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-3.png\" alt=\"\" width=\"247\" height=\"216\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoNormal\">AB = AC<\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoNormal\"><strong>Property 3:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoNormal\">The angle formed by a tangent and a chord is congruent to the inscribed angle on the opposite side of the chord.<\/p>\n<p class=\"MsoNormal\"><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-4.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-655\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/tangent-4.png\" alt=\"\" width=\"294\" height=\"180\" \/><\/a><\/p>\n<p class=\"MsoNormal\">angle APB = angle PCB<span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n<p class=\"MsoNormal\">SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students, visit: <a href=\"https:\/\/schooltutoring.com\">SchoolTutoring Academy<\/a>.<\/p>\n<p class=\"MsoNormal\"><span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; The tangent to a circle is a line circle that intersects the circle in exactly one point. The point where the tangent touches the circle is the point of tangency. Line n is tangent to circle O with point of tangency at P. Property 1: A tangent to a circle is perpendicular to the [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10,11],"tags":[1806,1808],"class_list":["post-651","post","type-post","status-publish","format-standard","hentry","category-geometry","category-math-fundamentals","tag-tangent","tag-tangentproperties"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/651","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\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=651"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/651\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}