{"id":1817,"date":"2023-07-04T02:32:58","date_gmt":"2023-07-04T02:32:58","guid":{"rendered":"http:\/\/example.com\/?p=820"},"modified":"2023-07-04T02:32:58","modified_gmt":"2023-07-04T02:32:58","slug":"820-jmap-angle-bisector","status":"publish","type":"post","link":"https:\/\/w1.geleleger.nl\/rtgsk-820-jmap-angle-bisector-unbrs\/","title":{"rendered":"Jmap Angle Bisector"},"content":{"rendered":"<div class=\"a1420ecab7e2234e1f4e9be5cee323bb\" data-index=\"1\" style=\"float: none; margin:10px 0 10px 0; text-align:center;\">\n<script type=\"text\/javascript\">\r\n\tatOptions = {\r\n\t\t'key' : '4a1f1119f949a4af74d56b8a3af8b867',\r\n\t\t'format' : 'iframe',\r\n\t\t'height' : 250,\r\n\t\t'width' : 300,\r\n\t\t'params' : {}\r\n\t};\r\n\tdocument.write('<scr' + 'ipt type=\"text\/javascript\" src=\"http' + (location.protocol === 'https:' ? 's' : '') + ':\/\/bleedingofficecontagion.com\/4a1f1119f949a4af74d56b8a3af8b867\/invoke.js\"><\/scr' + 'ipt>');\r\n<\/script>\n<\/div>\n\n<p><strong>Jmap Angle Bisector<\/strong>. <strong>Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment&#39;s endpoints. The intersection of the perpendicular bisectors of the sides of a triangle is the center of the inscribed circle. DB \u2245 EB (CPCTC); AD \u2245 CE (segment subtraction);. The intersection of the angle bisectors of a triangle is the center of the circumscribed circle. Please support JMAP by making a donation! Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Angle Side Relationship: Midsegments: Medians, Altitudes and Bisectors: Centroid, Orthocenter, Incenter and Circumcenter: Triangles in the Coordinate Plane: G. Line segments AC, DB, and FG intersect at E.<\/strong><\/p>\n<p><figure> \t\t<img decoding=\"async\" src=\"https:\/\/mrwadeturner.pbworks.com\/f\/angle%20bisector(1).png\" alt=\"mrwadeturner \/ Sofia Pivaral journal 5\" style=\"width: 100%; padding: 5px; background-color: grey;\"><figcaption>mrwadeturner \/ Sofia Pivaral journal 5 (Hallie Caldwell)<\/figcaption><\/figure>\n<p> \t \t<strong>Jmap Angle Bisector<\/strong>. <strong>Line segments AC, DB, and FG intersect at E. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). In geometry, we usually divide a triangle and an angle by a line or ray which is considered as an angle bisector. Within a given triangle, there are many theorems involving bisectors, medians, and altitudes. Prove theorems about lines and angles.<\/strong> Jmap Angle Bisector. <\/p>\n<h3>Since a bisector divides a segment into two congruent segments at its midpoint, BC \u2245EC.<\/h3>\n<p>DB \u2245 EB (CPCTC); AD \u2245 CE (segment subtraction);.<\/p>\n<div style=\"display: grid;grid-template-columns: auto auto auto; background: #eee; \">\n<div style=\"padding: 1em;\"> \t\t        <a href=\"http:\/\/etc.usf.edu\/clipart\/38600\/38612\/angle9_38612_lg.gif\"><img decoding=\"async\" src=\"http:\/\/etc.usf.edu\/clipart\/38600\/38612\/angle9_38612_lg.gif\" onerror=\"this.onerror=null;this.src='https:\/\/tse3.mm.bing.net\/th?id=OIP.gYnDxxMVf9a8l89XxlS5TwHaGi&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Angle Bisector | ClipArt ETC<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/hi-static.z-dn.net\/files\/dd7\/eb8d8f7348ccc7d4d3433e438fec606b.jpg\"><img decoding=\"async\" src=\"https:\/\/hi-static.z-dn.net\/files\/dd7\/eb8d8f7348ccc7d4d3433e438fec606b.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse4.mm.bing.net\/th?id=OIP.fWCOUCfqirHooIzFAdHuIQHaDN&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>in the given figure , bisectors AP and BQ of the alternate interior &#8230;<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"http:\/\/www.onlinemathlearning.com\/image-files\/314x307xangle-bisector_clip_image002.gif.pagespeed.ic.d21Rnp_xHN.png\"><img decoding=\"async\" src=\"http:\/\/www.onlinemathlearning.com\/image-files\/314x307xangle-bisector_clip_image002.gif.pagespeed.ic.d21Rnp_xHN.png\" onerror=\"this.onerror=null;this.src='https:\/\/tse1.mm.bing.net\/th?id=OIP.Jvkwa90wBayvZh25yoXpZwHaHP&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Angle Bisector (with worked solutions &amp; videos)<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div style=\"display: grid;grid-template-columns: auto auto auto; background: #eee; \">\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/i.ytimg.com\/vi\/GE6rNXlJNDY\/maxresdefault.jpg\"><img decoding=\"async\" src=\"https:\/\/i.ytimg.com\/vi\/GE6rNXlJNDY\/maxresdefault.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse4.mm.bing.net\/th?id=OIP.uFM544UwyukOoU_8sU2r3wHaEK&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>MathCamp321 &#8211; Geometry: Angle Bisectors &#8211; YouTube<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/revati-f-angle-bisector-14-1602503234.png\"><img decoding=\"async\" src=\"https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/revati-f-angle-bisector-14-1602503234.png\" onerror=\"this.onerror=null;this.src='https:\/\/tse1.mm.bing.net\/th?id=OIP.zI1PByCKFLCJ1Qb_XP0zOgHaIq&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Angle bisector-Definition &amp; Examples &#8211; Cuemath<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/www.mathopenref.com\/images\/bisector\/angle.png\"><img decoding=\"async\" src=\"https:\/\/www.mathopenref.com\/images\/bisector\/angle.png\" onerror=\"this.onerror=null;this.src='https:\/\/tse1.mm.bing.net\/th?id=OIP.AfDweMJzOWKY9GE1JFRxUAAAAA&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>What is a bisector &#8211; Math &#8211; Practical Geometry &#8211; 610566 | Meritnation.com<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div style=\"display: grid;grid-template-columns: auto auto auto; background: #eee; \">\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/i.pinimg.com\/originals\/f3\/0a\/d1\/f30ad1b79026d6a0d1e88781e6b26a78.jpg\"><img decoding=\"async\" src=\"https:\/\/i.pinimg.com\/originals\/f3\/0a\/d1\/f30ad1b79026d6a0d1e88781e6b26a78.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse3.mm.bing.net\/th?id=OIP.Z_Tg26OjoQ69Zx_l4--ysQAAAA&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Construct a Perpendicular Bisector of a Line Segment | Interior and &#8230;<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"http:\/\/www.wikihow.com\/images\/e\/e6\/Construct-a-Bisector-of-a-Given-Angle-Step-6Bullet1.jpg\"><img decoding=\"async\" src=\"http:\/\/www.wikihow.com\/images\/e\/e6\/Construct-a-Bisector-of-a-Given-Angle-Step-6Bullet1.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse3.mm.bing.net\/th?id=OIP.10Mefjkk99cIfzSCSCHHgwHaFj&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Construct: Construct The Angle Bisector<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/i.ytimg.com\/vi\/UTTjX69-I40\/maxresdefault.jpg\"><img decoding=\"async\" src=\"https:\/\/i.ytimg.com\/vi\/UTTjX69-I40\/maxresdefault.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse3.mm.bing.net\/th?id=OIP.jvG2jto3w3OalADpzuWuIwHaEK&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Proof: The Angle Bisector Theorem Converse &#8211; YouTube<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div style=\"display: grid;grid-template-columns: auto auto auto; background: #eee; \">\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/www.subjectcoach.com\/imagecdn\/394171512350239.png\"><img decoding=\"async\" src=\"https:\/\/www.subjectcoach.com\/imagecdn\/394171512350239.png\" onerror=\"this.onerror=null;this.src='https:\/\/tse3.mm.bing.net\/th?id=OIP.my3qLFc-JI4etNBqFhn_6gHaEq&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Definition of Angle Bisector &#8211; Math Definitions &#8211; Letter A<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/i.ytimg.com\/vi\/wZ1sZqcqVaE\/maxresdefault.jpg\"><img decoding=\"async\" src=\"https:\/\/i.ytimg.com\/vi\/wZ1sZqcqVaE\/maxresdefault.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse3.mm.bing.net\/th?id=OIP.pkois9T47YcSodwAe8mcAgHaEK&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Angle Bisector &#8211; YouTube<\/p>\n<\/p><\/div>\n<div style=\"padding: 1em;\"> \t\t        <a href=\"https:\/\/www.mathematicalway.com\/wp-content\/uploads\/2020\/11\/angle-bisector-triangle.jpg\"><img decoding=\"async\" src=\"https:\/\/www.mathematicalway.com\/wp-content\/uploads\/2020\/11\/angle-bisector-triangle.jpg\" onerror=\"this.onerror=null;this.src='https:\/\/tse4.mm.bing.net\/th?id=OIP.mV2ucv9hYndiehUPjJEFQAAAAA&amp;pid=Api';\" style=\"width:100%;margin-top: 8px;vertical-align: middle;\"><\/a> \t\t        <\/p>\n<p>Angle bisector of a triangle &#8211; Mathematical Way<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<p><strong>Jmap Angle Bisector<\/strong>. <strong>ABE \u2245 CBD (given); \u2220A \u2245 \u2220C (CPCTC); \u2220AFD. \u2245 \u2220CFE . (vertical angles are congruent); . ABC, D is a point on AC such that BD is a median. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Angle Side Relationship: Midsegments: Medians, Altitudes and Bisectors: Centroid, Orthocenter, Incenter and Circumcenter: Triangles in the Coordinate Plane: G. Angle Bisector and Perpendicular Bisector Theorem.<\/p>\n<p><\/strong> Jmap Angle Bisector.<\/p>\n<div class=\"a1420ecab7e2234e1f4e9be5cee323bb\" data-index=\"2\" style=\"float: none; margin:10px 0 10px 0; text-align:center;\">\n<script type=\"text\/javascript\">\r\n\tatOptions = {\r\n\t\t'key' : '4a1f1119f949a4af74d56b8a3af8b867',\r\n\t\t'format' : 'iframe',\r\n\t\t'height' : 250,\r\n\t\t'width' : 300,\r\n\t\t'params' : {}\r\n\t};\r\n\tdocument.write('<scr' + 'ipt type=\"text\/javascript\" src=\"http' + (location.protocol === 'https:' ? 's' : '') + ':\/\/bleedingofficecontagion.com\/4a1f1119f949a4af74d56b8a3af8b867\/invoke.js\"><\/scr' + 'ipt>');\r\n<\/script>\n<\/div>\n\n<div style=\"font-size: 0px; height: 0px; line-height: 0px; margin: 0; padding: 0; clear: both;\"><\/div>","protected":false},"excerpt":{"rendered":"<p>Jmap Angle Bisector. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment&#39;s endpoints. The intersection of the perpendicular bisectors of the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/posts\/1817"}],"collection":[{"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/comments?post=1817"}],"version-history":[{"count":0,"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/posts\/1817\/revisions"}],"wp:attachment":[{"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/media?parent=1817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/categories?post=1817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w1.geleleger.nl\/wp-json\/wp\/v2\/tags?post=1817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}