{"id":471,"date":"2022-04-13T11:04:41","date_gmt":"2022-04-13T11:04:41","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=471"},"modified":"2023-12-30T04:29:45","modified_gmt":"2023-12-30T04:29:45","slug":"aa-1-construct-a-tangent-line-to-a-circle","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/aa-1-construct-a-tangent-line-to-a-circle\/","title":{"rendered":"AA.1 Construct a tangent line to a circle"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"> <strong>Construct a tangent line to a circle<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f79afd6ea8b322268468366b8e5f7cc7\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f0e0e0\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-f66ae0ac8f406c9e1f054418a8a84320\" style=\"color:#b00012\"><strong>The\u00a0diagram below shows a nearly completed construction of a tangent to\u00a0\u2a00A\u00a0(the smaller one) through\u00a0B.\u00a0Complete the\u00a0construction.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled-500-\u00d7-500px-6.png\" alt=\"\" class=\"wp-image-5156\" style=\"width:544px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled-500-\u00d7-500px-6.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled-500-\u00d7-500px-6-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled-500-\u00d7-500px-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Part&nbsp;of the construction was done for you. Here are the steps to create this part of the&nbsp;construction.<\/p>\n\n\n\n<p><strong>Start&nbsp;with the objects in the diagram&nbsp;below.<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___1_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-5157\" style=\"width:366px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___1_-removebg-preview-2.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___1_-removebg-preview-2-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___1_-removebg-preview-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p><strong>Find&nbsp;the midpoint of&nbsp;<em>AB<\/em>.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\" id=\"yui_3_18_1_1_1677647135346_3567\">\n<li><em>Draw<\/em><em>&nbsp;the segment between&nbsp;<\/em>A<em>&nbsp;and&nbsp;<\/em>B.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___2_-removebg-preview.png\" alt=\"\" class=\"wp-image-5158\" style=\"width:372px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___2_-removebg-preview.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___2_-removebg-preview-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___2_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p><em>Draw&nbsp;a circle with radius&nbsp;<\/em>AB<em>&nbsp;centred at&nbsp;<\/em>A.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___3_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-5159\" style=\"width:262px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___3_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___3_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___3_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p><em>Draw&nbsp;a circle with radius&nbsp;<\/em>AB<em>&nbsp;centred at&nbsp;<\/em>B.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___4_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-5160\" style=\"width:302px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___4_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___4_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___4_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p><em>Mark&nbsp;the points where&nbsp;<\/em>\u2a00A<em>&nbsp;(with radius&nbsp;<\/em>AB<em>)&nbsp;and&nbsp;<\/em>\u2a00B<em>&nbsp;intersect. Call them&nbsp;<\/em>C<em>&nbsp;and&nbsp;<\/em>D.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___5_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-5161\" style=\"width:308px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___5_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___5_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___5_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since&nbsp;B&nbsp;and&nbsp;C&nbsp;are both on&nbsp;\u2a00A,<em>AB<\/em>=<em>AC<\/em>.&nbsp;Since&nbsp;A&nbsp;and&nbsp;C&nbsp;are both on&nbsp;\u2a00B,<em>AB<\/em>=<em>BC<\/em>.&nbsp;So,&nbsp;<em>AB<\/em>=<em>AC<\/em>=<em>BC<\/em>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___6_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-5163\" style=\"width:310px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___6_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___6_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___6_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Similarly,&nbsp;<em>AB<\/em>=<em>AD<\/em>=<em>BD<\/em>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___7_-removebg-preview.png\" alt=\"\" class=\"wp-image-5165\" style=\"width:330px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___7_-removebg-preview.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___7_-removebg-preview-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___7_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;C and&nbsp;D are equidistant from&nbsp;A&nbsp;and&nbsp;B.<\/p>\n\n\n\n<ul class=\"wp-block-list\" id=\"yui_3_18_1_1_1677647135346_3592\">\n<li><em>Draw<\/em><em>&nbsp;the line through&nbsp;<\/em>C<em>&nbsp;and&nbsp;<\/em>D.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___8_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-5166\" style=\"width:344px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___8_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___8_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Untitled__500___500px___8_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Recall&nbsp;that the set of points equidistant from&nbsp;<\/p>\n\n\n\n<p>A&nbsp;and&nbsp;B&nbsp;form the perpendicular bisector of&nbsp;AB.&nbsp;Since&nbsp;C&nbsp;and&nbsp;D&nbsp;are equidistant from&nbsp;A&nbsp;and&nbsp;B,&nbsp;they lie on the perpendicular bisector. So,&nbsp;CD&nbsp;is the perpendicular bisector of&nbsp;AB.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-d10c1106a03fa0d2c642217354ec023a\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/65573\/757\/356\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-176.png\" alt=\"\" class=\"wp-image-7539\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-176.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-176-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-176-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195.png\" alt=\"\" class=\"wp-image-7541\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Construct a tangent line to a circle Key Notes: Learn with an example The\u00a0diagram below shows a nearly completed construction of a tangent to\u00a0\u2a00A\u00a0(the smaller one) through\u00a0B.\u00a0Complete the\u00a0construction. Part&nbsp;of the construction was done for you. Here are the steps to create this part of the&nbsp;construction. Start&nbsp;with the objects in the diagram&nbsp;below. Find&nbsp;the midpoint of&nbsp;AB. Draw&nbsp;a<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/aa-1-construct-a-tangent-line-to-a-circle\/\">Continue reading <span class=\"screen-reader-text\">&#8220;AA.1 Construct a tangent line to a circle&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-471","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/471","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=471"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/471\/revisions"}],"predecessor-version":[{"id":11194,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/471\/revisions\/11194"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}