{"id":74,"date":"2023-09-16T13:01:17","date_gmt":"2023-09-16T13:01:17","guid":{"rendered":"https:\/\/mathority.org\/id\/rumus-titik-tengah-vektor-segmen\/"},"modified":"2023-09-16T13:01:17","modified_gmt":"2023-09-16T13:01:17","slug":"rumus-titik-tengah-vektor-segmen","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/rumus-titik-tengah-vektor-segmen\/","title":{"rendered":"Formula untuk segmen tengah"},"content":{"rendered":"<p>Halaman ini menjelaskan arti titik tengah suatu segmen. Selain itu, Anda akan menemukan cara mencari titik tengah suatu ruas menggunakan rumusnya. Anda bahkan akan melihat contoh, latihan, dan penyelesaian masalah titik tengah segmen. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-punto-medio-de-un-segmento\"><\/span> Berapakah titik tengah suatu segmen? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p> Dalam matematika, <strong>titik tengah suatu ruas<\/strong> adalah titik yang terletak pada jarak yang sama dari titik ujung suatu ruas. Oleh karena itu, bagian tengah membagi segmen menjadi dua bagian yang sama. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/milieu-dun-segment.webp\" alt=\"definisi bagian tengah suatu segmen\" class=\"wp-image-1173\" width=\"330\" height=\"123\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Selain itu, titik tengahnya berada tepat di tengah-tengah ruas, sehingga termasuk dalam garis bagi ruas tersebut.<\/p>\n<p> Sebaliknya, titik tengah suatu ruas juga merupakan titik yang berjarak sama dari dua elemen geometri: kedua ujung ruas tersebut. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-calcula-el-punto-medio-de-un-segmento\"><\/span> Bagaimana cara menghitung titik tengah suatu segmen? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> Diketahui koordinat Cartesius dari titik-titik ekstrim suatu segmen:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-407686c3c36cf4b185cacdb87d5744dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(x_1,y_1) \\qquad B(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> Koordinat titik tengah ruas tersebut sesuai dengan setengah jumlah koordinat titik ekstrim:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-259d8b58035f86d95cf81c61ea1956f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<p> Ini adalah rumus titik tengah suatu ruas pada bidang kartesius (di R2). Namun yang jelas rumus tersebut juga berlaku untuk ruang kartesius (di R3), Anda hanya perlu menjumlahkan setengah jumlah koordinat Z: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-pour-le-milieu-d-un-segment-3d.webp\" alt=\"rumus untuk bagian tengah segmen 3D\" class=\"wp-image-1179\" width=\"286\" height=\"61\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Mari kita lihat contoh cara menghitung koordinat titik tengah suatu segmen:<\/p>\n<ul>\n<li> Tentukan titik tengah segmen yang dibentuk oleh titik-titik berikut:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-48a61a131bb67501407b1aeb047c4dac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,5) \\qquad B(4,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Untuk mencari titik tengah ruas, cukup terapkan rumusnya: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-259d8b58035f86d95cf81c61ea1956f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d0371f78d8fc76210d4ddf59e4167a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{2+4}{2} , \\frac{5+(-1)}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"167\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a7096386cfff32b327f2f3d73e3b247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{6}{2} , \\frac{4}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"79\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02de9c913e1d7c44d9693f034a629609_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{M\\left(3,2\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-punto-medio-de-un-segmento\"><\/span> Latihan diselesaikan di tengah-tengah segmen <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Berapakah titik tengah ruas garis yang titik ujungnya pada dua titik berikut? <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a2f78a38573da4674d1386989c01a41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(3,-2) \\qquad B(5,8)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk mencari titik tengah ruas harus langsung menerapkan rumus:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-259d8b58035f86d95cf81c61ea1956f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d5acb725d11fabc89fb22740f66348dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{3+5}{2} , \\frac{-2+8}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8cff3d1a803ff1db7e17c7f0a2d5f0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{8}{2} , \\frac{6}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"79\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1045d884eca101567d164a3edd020721_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{M\\left(4,3\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Tentukan koordinat titik ujung ruas yang bermula di titik A dan titik tengahnya M. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da22fffbe71a83ee1d0b623d43acc44e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(4,-1) \\qquad M(-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Dalam hal ini kita mengetahui koordinat titik awal dan titik tengah ruas. Oleh karena itu, kita substitusikan koordinat yang kita ketahui ke dalam rumus titik tengah suatu segmen: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-15ac6d065547cfecd67e1ade9199e56b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)=(x_m,y_m)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"240\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cabf4a34b87d5f7521e7838373858c77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{4+x_2}{2} , \\frac{-1+y_2}{2} \\right)=(-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"224\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan sekarang kita menyelesaikan koordinat titik akhir segmen dari persamaan sebelumnya: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-185\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">koordinat X<\/span> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c43b5327bbd2a40b90814aaf8e2c58fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4+x_2}{2} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"94\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad91c75516e57a4e86e8d799558270da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4+x_2 = -2 \\cdot 2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"115\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-661259dbec707360a6c9b72762dab6ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4+x_2 = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-409ebd4538659914128a2d6e072a90c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2 = -4-4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e429416149bd720084ad755ee3d5d44e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2 = -8\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"64\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">koordinat Y<\/span> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba2731ecc8219c22d6c469eccdf85529_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-1+y_2}{2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24ad6e0cc7695293f8bb52174f241d35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1+y_2 = 1 \\cdot 2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dda4582230517de8e2bb247bd47ad579_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1+y_2 = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-adc4f877b552f1974b0398f064b93ac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_2 = 2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"79\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99710d2d724ee9ded913d4fc19f6ed50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_2 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Oleh karena itu, koordinat ujung akhir segmen tersebut adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e782e63bf6a08947063cf6b440334d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{B(-8,3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Diketahui jajar genjang berikut: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/milieu-d-un-segment-4-qui.webp\" alt=\"tengah segmen 4 yang\" class=\"wp-image-1188\" width=\"274\" height=\"183\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Diketahui M adalah pusat jajar genjang dan koordinat titik A, B, dan C adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdd42923dcd18bffb7d25e31ae8d3d75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(1,1) \\quad B(5,1) \\quad C(7,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dari informasi ini dan menggunakan rumus titik tengah, hitung koordinat titik D. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk mencari koordinat titik D menggunakan rumus titik tengah suatu ruas, pertama-tama kita harus menghitung koordinat titik M, kemudian koordinat titik D.<\/p>\n<p class=\"has-text-align-left\"> Titik M adalah titik tengah ruas BC, maka koordinatnya adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b00a351c0e1288c3c1234a1607bf1dfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{5+7}{2} , \\frac{1+3}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"140\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-448351843af41a6701e2ab8ca7341f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(6,2 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan setelah kita mengetahui titik M, maka kita dapat menemukan titik D. Titik M juga merupakan titik tengah ruas AD, jadi:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1487f136277da012127a96d412bcb1a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{1+x_2}{2} , \\frac{1+y_2}{2} \\right)=(6,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"196\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-188\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">Koordinat X titik D<\/span> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cb4fd54d2651911cf0f8fd3638f39fb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1+x_2}{2} = 6\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"81\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a53be209d6149351c5367d7c289ac509_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+x_2 = 12\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"88\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b00de9d02d4a115da066ea2b09b6ebe9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2 = 11\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">Koordinat Y titik D<\/span> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9118a226b227f29c5d5e47e6fed0584_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1+y_2}{2} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"78\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c78e47ab1f1e4c5b59fb7c5485c500a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+y_2 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"79\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99710d2d724ee9ded913d4fc19f6ed50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_2 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Maka koordinat titik D adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-548722a65aca99d596a65440d1d79972_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{D(11,3}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 4<\/h3>\n<p> Hitung persamaan kontinu garis yang tegak lurus ruas PQ di titik tengahnya. Jadilah poinnya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e4a894322ba599f7554e658df9395ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> Dan <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50dd0a3989215daca6c630d3aaa40363_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(5,-2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menentukan persamaan suatu garis, kita memerlukan vektor arahnya dan sebuah titik yang merupakan bagian dari garis tersebut.<\/p>\n<p class=\"has-text-align-left\"> Dalam hal ini, vektor arah garis akan tegak lurus terhadap vektor tersebut<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8eb47350c9bb5cdf5c2fbef09b52c1e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ}.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"32\" style=\"vertical-align: -4px;\"><\/p>\n<p> Oleh karena itu kami menghitung vektornya<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2875abb1ba6262667d0f2a0296f0232c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"37\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-565c54cddbe69956afd690041585f540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ} = Q - P = (5,-2)-(1,4) = (4,-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan kita dapat <a href=\"https:\/\/mathority.org\/id\/vektor-tegak-lurus-ortogonal\/\">mencari suatu vektor yang tegak lurus terhadap vektor lain<\/a> dengan mengubah komponen-komponen vektor di antara vektor-vektor tersebut kemudian mengubah tanda suatu komponen, oleh karena itu:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b971df6309904cd938ebf8b45e9d806_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ}_\\perp =(6,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Kita sekarang mempunyai vektor arah garis, jadi kita hanya memerlukan satu titik yang termasuk dalam garis tersebut. Dalam hal ini, instruksi memberitahu kita bahwa garis melewati titik tengah segmen, jadi kita menghitung titik tengahnya menggunakan rumus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b477c77b693a48e92a021169634f03d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{1+5}{2} , \\frac{4+(-2)}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"167\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91b3e0dff764bf27e38b0978f5990ff9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(3,1 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Terakhir, kita buat persamaan garis kontinu dari titik dan vektor yang dihitung: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c72d8ba3ce097104d7c52e934e0ce1b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x-3}{6}=\\cfrac{y-1}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Halaman ini menjelaskan arti titik tengah suatu segmen. Selain itu, Anda akan menemukan cara mencari titik tengah suatu ruas menggunakan rumusnya. Anda bahkan akan melihat contoh, latihan, dan penyelesaian masalah titik tengah segmen. Berapakah titik tengah suatu segmen? Dalam matematika, titik tengah suatu ruas adalah titik yang terletak pada jarak yang sama dari titik ujung &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/rumus-titik-tengah-vektor-segmen\/\"> <span class=\"screen-reader-text\">Formula untuk segmen tengah<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[47],"tags":[],"class_list":["post-74","post","type-post","status-publish","format-standard","hentry","category-titik-garis-dan-bidang"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Bagaimana cara menghitung titik tengah suatu segmen? 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