{"id":391,"date":"2022-04-12T10:26:07","date_gmt":"2022-04-12T10:26:07","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=391"},"modified":"2024-10-23T15:33:50","modified_gmt":"2024-10-23T15:33:50","slug":"r-16-find-lengths-and-measures-of-bisected-line-segments-and-angles","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-16-find-lengths-and-measures-of-bisected-line-segments-and-angles\/","title":{"rendered":"R.16 Find lengths and measures of bisected line segments and angles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Find lengths and measures of bisected line segments and angles<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<p><strong>Bisecting a Line Segment<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Bisect:<\/strong> To bisect means to divide something into two equal parts.<\/li>\n\n\n\n<li><strong>Bisector:<\/strong> A bisector is a line, ray, or line segment that divides something into two equal parts.<\/li>\n\n\n\n<li><strong>Midpoint:<\/strong> The midpoint of a line segment is the point that divides the segment into two congruent segments.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"212\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-40.png\" alt=\"\" class=\"wp-image-14576\"\/><\/figure><\/div>\n\n\n<p><strong>Finding the Midpoint<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula:<\/strong> The midpoint of a line segment with endpoints (x\u2081, y\u2081) and (x\u2082, y\u2082) is found using the formula:\n<ul class=\"wp-block-list\">\n<li>Midpoint = ((x\u2081 + x\u2082) \/ 2, (y\u2081 + y\u2082) \/ 2)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Bisecting an Angle<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Angle Bisector:<\/strong> An angle bisector is a ray that divides an angle into two congruent angles.<\/li>\n\n\n\n<li><strong>Compass and Straightedge:<\/strong> To bisect an angle, you can use a compass and straightedge.<\/li>\n<\/ul>\n\n\n\n<p><strong>Finding the Measure of a Bisected Angle<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If an angle is bisected, each of the resulting angles will have a measure equal to half the measure of the original angle.<\/li>\n<\/ul>\n\n\n\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-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-primary-color has-text-color has-background\" style=\"background-color:#d8e0f6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>An angle is bisected, forming two new angles. Each new angle has a measure of 11\u00b0. What was the measure of the original angle?<\/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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-25.png\" alt=\"\" class=\"wp-image-4909\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-25.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-25-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-25-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-25-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>________\u00b0<\/p>\n<\/div><\/div>\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-13.png\" alt=\"\" class=\"wp-image-4910\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-13.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-13-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-13-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-13-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Each new angle measures 11\u00b0. Multiply by 2 to find the original, larger angle.<\/p>\n\n\n\n<p>11\u00b0 \u00d7 2 = 22\u00b0<\/p>\n\n\n\n<p>So, the original angle measured 22\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#e7f5ce\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>If a line segment is bisected to form two new 6-inch line segments, what was the measure of the original line segment?<\/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=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-100px.png\" alt=\"\" class=\"wp-image-4911\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-100px.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-100px-300x60.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>_____ &nbsp;inches<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__500___100px_-removebg-preview.png\" alt=\"\" class=\"wp-image-4912\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__500___100px_-removebg-preview.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__500___100px_-removebg-preview-300x60.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Each new line segment measures 6 inches. Multiply by 2 to find the original, larger line segment.<\/p>\n\n\n\n<p>6 \u00d7 2 = 12<\/p>\n\n\n\n<p>So, the original line segment measured 12 inches.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#f9cbcb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>If a line segment is bisected to form two new 18-centimetre line segments, what was the measure of the original line segment?<\/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=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-100px-1.png\" alt=\"\" class=\"wp-image-4913\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-100px-1.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-100px-1-300x60.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>______&nbsp;centimetres<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__500___100px___1_-removebg-preview.png\" alt=\"\" class=\"wp-image-4914\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__500___100px___1_-removebg-preview.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__500___100px___1_-removebg-preview-300x60.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Each new line segment measures 18 centimetres. Multiply by 2 to find the original, larger line segment.<\/p>\n\n\n\n<p>18 \u00d7 2 = 36<\/p>\n<\/div><\/div>\n\n\n\n<p>So, the original line segment measured 36 centimetres.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/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\/79939\/380\/353\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-99.png\" alt=\"\" class=\"wp-image-6786\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-99.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-99-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-99-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-99-400x400.png 400w\" 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\"><a href=\"https:\/\/wordwall.net\/play\/79945\/185\/228\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-100.png\" alt=\"\" class=\"wp-image-6787\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-100.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-100-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-100-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-100-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Find lengths and measures of bisected line segments and angles Key notes: Bisecting a Line Segment Finding the Midpoint Bisecting an Angle Finding the Measure of a Bisected Angle Learn with an example \ud83d\udd14 An angle is bisected, forming two new angles. Each new angle has a measure of 11\u00b0. What was the measure of<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-16-find-lengths-and-measures-of-bisected-line-segments-and-angles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.16 Find lengths and measures of bisected line segments and angles&#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,"footnotes":""},"class_list":["post-391","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/391","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=391"}],"version-history":[{"count":13,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/391\/revisions"}],"predecessor-version":[{"id":14577,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/391\/revisions\/14577"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}