{"id":302457,"date":"2021-11-01T14:07:53","date_gmt":"2021-11-01T07:07:53","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=302457"},"modified":"2023-02-07T15:47:43","modified_gmt":"2023-02-07T08:47:43","slug":"koordinat-cartesius","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/koordinat-cartesius\/","title":{"rendered":"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"533\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp\" alt=\"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal\" class=\"wp-image-302472\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius-768x512.webp 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius-585x390.webp?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius-263x175.webp?crop=1 263w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Tentu Quipperian pernah memanfaatkan fitur shareloc, kan? Nah, saat Quipperian menggunakan fitur tersebut, akan muncul angka-angka yang merupakan posisi titik lokasi yang dimaksud. Susunan angka-angka itu disebut sebagai titik koordinat. Biasanya, titik koordinat itu ditulis dalam bentuk koordinat Cartesius. Ingin tahu selengkapnya?<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Pengertian Koordinat Cartesius<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Koordinat Cartesius adalah sistem koordinat yang memuat angka-angka tertentu di setiap bidangnya yang ditulis dalam bentuk (x,y).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Koordinat ini ditemukan oleh seorang ahli Matematika asal Prancis, yaitu Rene Descartes.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ciri utama koordinat Cartesius adalah adanya dua garis tegak lurus yang saling berpotongan di suatu titik. Kedua garis tersebut dinamakan sebagai sumbu koordinat.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Sistem Koordinat Cartesius<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Sistem koordinat Cartesius&nbsp; memuat dua buah sumbu, yaitu sumbu yang arahnya vertikal atau biasa disebut sumbu Y dan sumbu yang arahnya horizontal atau sumbu X. Perhatikan gambar berikut.<\/p>\n\n\n\n<figure class=\"wp-block-image alignnone wp-image-302466 size-full\"><img decoding=\"async\" width=\"596\" height=\"587\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/sistem-koordinat-cartesius-1.webp\" alt=\"\" class=\"wp-image-302466\"\/><figcaption class=\"wp-element-caption\">Sumber: Pustekkom Kemdikbud<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Berdasarkan gambar di atas, sumbu koordinatnya diberi warna biru. Sumbu Y disebut juga koordinat dan sumbu X disebut juga absis. Selain itu, terdapat tiga kondisi garis yaitu sebagai berikut.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>1. Garis yang saling sejajar<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Suatu garis dikatakan sejajar jika keduanya tidak akan pernah bertemu ujung dan pangkalnya. Hal itu karena kedua garis memiliki gradien yang sama. Contoh garis sejajar adalah garis L dan N.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>2. Garis yang saling tegak lurus dan berpotongan<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Dua garis dikatakan tegak lurus jika keduanya saling berpotongan di suatu titik dan membentuk sudut 90o. Garis yang saling tegak lurus adalah garis K dan N serta garis K dan sumbu X. Titik perpotongan tersebut sama dengan titik koordinat Cartesius.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>3. Garis yang memotong<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Dua garis dikatakan memotong jika keduanya berpotongan di suatu titik. Garis yang saling berpotongan adalah garis M dan L serta garis M terhadap sumbu X dan Y. Titik perpotongan tersebut sama menunjukkan titik koordinat Cartesius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Terdapat empat daerah pada sistem koordinat ini, yaitu daerah kuadran I, II, III, dan IV. Berikut ini contohnya.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"485\" height=\"328\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/kuadran.webp\" alt=\"\" class=\"wp-image-302465\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Daerah kuadran I memiliki nilai absis (x) dan ordinat (y) yang semuanya positif.<\/li>\n\n\n\n<li>Daerah kuadran II memiliki nilai absis (x) yang semuanya negatif dan ordinat (y) yang semuanya positif.<\/li>\n\n\n\n<li>Daerah kuadran III memiliki nilai absis (x) dan ordinat (y) yang semuanya negatif.<\/li>\n\n\n\n<li>Daerah kuadran IV memiliki nilai absis (x) yang semuanya positif dan ordinat (y) yang semuanya negatif.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Adapun rumus koordinat Cartesius adalah (x,y), dengan x = nilai absis (sumbu X) dan y = nilai ordinat (sumbu Y).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk lebih jelasnya, perhatikan contoh diagram Cartesius adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"563\" height=\"330\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/diagram-cartesius.webp\" alt=\"\" class=\"wp-image-302464\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada diagram di atas, terdapat dua titik koordinat yaitu titik A dan titik B.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk menuliskan titik koordinatnya, kamu tentukan dahulu nilai sumbu X dan sumbu Y-nya.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada diagram di atas:<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">titik A = (5,10) karena absisnya berada di skala 5 dan ordinatnya berada di skala 10. Itu artinya, titik A berada di daerah kuadran I; dan<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">titik B = (15,-5) karena absisnya berada di skala 15 dan ordinatnya berada di skala -5. Itu artinya, titik B berada di daerah kuadran IV.<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar Quipperian semakin paham dengan materi kali ini, yuk simak contoh soal koordinat Cartesius berikut.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 1<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah bangun datar dibentuk dari titik koordinat A (-1,3), titik B (1,3), titik C (-2,1), dan titik D (2,1). Tentukan luas bangun datar tersebut!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menentukan posisi titik koordinat yang disebutkan pada soal.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Titik A (-1,3) -&gt;<\/span><span style=\"font-weight: 400;\">&nbsp;titik absis = -1, titik ordinat = 3 (kuadran II)<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Titik B (1,3) -&gt;<\/span><span style=\"font-weight: 400;\">&nbsp;titik absis = 1, titik ordinat = 3 (kuadran I)<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Titik C (-2,1) -&gt;<\/span><span style=\"font-weight: 400;\">&nbsp;titik absis = -2, titik ordinat = 1 (kuadran II)<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Titik D (2,1) -&gt;<\/span><span style=\"font-weight: 400;\">&nbsp;titik absis = 2, titik ordinat = 1 (kuadran I)<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berikut ini posisi titik-titik A, B, C, dan D pada diagram Cartesius.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"393\" height=\"346\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-1.webp\" alt=\"\" class=\"wp-image-302463\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika keempat titik dihubungkan, ternyata membentuk bangun trapesium sama kaki dengan ketentuan seperti berikut.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Tinggi bangun = 3 satuan<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Sisi AB = 3 satuan<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Sisi CD = 4 satuan<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, luas trapesium ABCDnya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"224\" height=\"169\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-1b.webp\" alt=\"\" class=\"wp-image-302462\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-1b.webp 224w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-1b-200x150.webp?crop=1 200w\" sizes=\"(max-width: 224px) 100vw, 224px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, luas bangun datar tersebut adalah 10,5 satuan luas.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 2<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Galih menggambar dua buah garis, yaitu garis P dan Q. Garis P sejajar dengan sumbu X dan memotong sumbu Y di titik koordinat (0,4).&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sementara itu, garis Q sejajar sumbu Y dan memotong sumbu X di titik koordinat (5,0).&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan titik koordinat perpotongan garis P dan Q!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Gambarkan garis P dan Q pada diagram Cartesius seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"434\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-2.webp\" alt=\"\" class=\"wp-image-302461\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dari diagram Kartesius di atas, terlihat bahwa garis P dan Q berpotongan di titik koordinat (5,4).<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, garis P dan Q akan berpotongan di titik koordinat (5,4).<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal 3<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Koordinat titik K dan L berturut-turut adalah (-3,2) dan (-6,-1). Agar terbentuk bangun segitiga sama kaki, titik M harus diletakkan pada koordinat berapa?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Gambarkan titik tersebut pada diagram Cartesius berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"603\" height=\"268\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-3.webp\" alt=\"\" class=\"wp-image-302460\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-3.webp 603w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/contoh-soal-3-600x268.webp 600w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar membentuk bangun segitiga sama kaki, titik M harus diletakkan di koordinat (-2, -1).<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, titik M harus diletakkan pada koordinat (-2,-1).<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Quipperian, sekian dulu pembahasan Quipper Blog tentang Koordinat Cartesius, ya. Semoga artikel ini cukup membantu kamu untuk memahami materi yang satu ini.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Kalau kamu masih mau belajar materi ini lebih dalam atau materi lainnya, yuk gabung bersama <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\"><b>Quipper Video<\/b><\/a><span style=\"font-weight: 400;\">! Belajar Matematika jadi seru dan menyenangkan!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Penulis: Eka Viandari<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tentu Quipperian pernah memanfaatkan fitur shareloc, kan? Nah, saat Quipperian menggunakan fitur tersebut, akan muncul angka-angka yang merupakan posisi titik lokasi yang dimaksud. Susunan&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":302472,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384865],"tags":[],"ppma_author":[679386827,679386836],"class_list":["post-302457","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Belajar materi Koordinat Cartesius lengkap meliputi pengertian, sistem koordinat dan contoh soal beserta pembahasan - mata pelajaran matematika kelas 8\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal - Quipper Blog\" \/>\n<meta property=\"og:description\" content=\"Belajar materi Koordinat Cartesius lengkap meliputi pengertian, sistem koordinat dan contoh soal beserta pembahasan - mata pelajaran matematika kelas 8\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/\" \/>\n<meta property=\"og:site_name\" content=\"Quipper Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/QuipperVideoID\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-11-01T07:07:53+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-02-07T08:47:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"800\" \/>\n\t<meta property=\"og:image:height\" content=\"533\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"sereliciouz, Pamela Natasa, S.Pd.\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:site\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"sereliciouz\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/\"},\"author\":{\"name\":\"sereliciouz\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/person\\\/b08224c7b72a87b156db30c3b032083b\"},\"headline\":\"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal\",\"datePublished\":\"2021-11-01T07:07:53+00:00\",\"dateModified\":\"2023-02-07T08:47:43+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/\"},\"wordCount\":813,\"publisher\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/Koordinat-Cartesius.webp\",\"articleSection\":[\"Matematika\"],\"inLanguage\":\"id\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/\",\"url\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/\",\"name\":\"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal - Quipper Blog\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/Koordinat-Cartesius.webp\",\"datePublished\":\"2021-11-01T07:07:53+00:00\",\"dateModified\":\"2023-02-07T08:47:43+00:00\",\"description\":\"Belajar materi Koordinat Cartesius lengkap meliputi pengertian, sistem koordinat dan contoh soal beserta pembahasan - mata pelajaran matematika kelas 8\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#primaryimage\",\"url\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/Koordinat-Cartesius.webp\",\"contentUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/Koordinat-Cartesius.webp\",\"width\":800,\"height\":533},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/koordinat-cartesius\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Mapel\",\"item\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/category\\\/mapel\\\/amp\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Matematika\",\"item\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/category\\\/mapel\\\/matematika\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#website\",\"url\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/\",\"name\":\"Quipper Blog\",\"description\":\"Blog Pendidikan - Referensi untuk Siswa &amp; Guru\",\"publisher\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"id\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#organization\",\"name\":\"Quipper Indonesia\",\"url\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2021\\\/08\\\/quipper-main-logo.png\",\"contentUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2021\\\/08\\\/quipper-main-logo.png\",\"width\":146,\"height\":40,\"caption\":\"Quipper Indonesia\"},\"image\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/QuipperVideoID\\\/\",\"https:\\\/\\\/x.com\\\/quipper_id\",\"https:\\\/\\\/instagram.com\\\/quipper_id\\\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/person\\\/b08224c7b72a87b156db30c3b032083b\",\"name\":\"sereliciouz\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=gdc25c3abc1bedfa09a01ed68c15b905f\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=g\",\"caption\":\"sereliciouz\"},\"description\":\"just another random person.\",\"sameAs\":[\"http:\\\/\\\/sereliciouz.wordpress.com\"],\"url\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/author\\\/sereliciouz\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal - Quipper Blog","description":"Belajar materi Koordinat Cartesius lengkap meliputi pengertian, sistem koordinat dan contoh soal beserta pembahasan - mata pelajaran matematika kelas 8","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/","og_locale":"id_ID","og_type":"article","og_title":"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal - Quipper Blog","og_description":"Belajar materi Koordinat Cartesius lengkap meliputi pengertian, sistem koordinat dan contoh soal beserta pembahasan - mata pelajaran matematika kelas 8","og_url":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/","og_site_name":"Quipper Blog","article_publisher":"https:\/\/www.facebook.com\/QuipperVideoID\/","article_published_time":"2021-11-01T07:07:53+00:00","article_modified_time":"2023-02-07T08:47:43+00:00","og_image":[{"width":800,"height":533,"url":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp","type":"image\/webp"}],"author":"sereliciouz, Pamela Natasa, S.Pd.","twitter_card":"summary_large_image","twitter_creator":"@quipper_id","twitter_site":"@quipper_id","twitter_misc":{"Ditulis oleh":"sereliciouz","Estimasi waktu membaca":"8 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#article","isPartOf":{"@id":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/koordinat-cartesius\/"},"author":{"name":"sereliciouz","@id":"https:\/\/quipperhome.wpcomstaging.com\/#\/schema\/person\/b08224c7b72a87b156db30c3b032083b"},"headline":"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal","datePublished":"2021-11-01T07:07:53+00:00","dateModified":"2023-02-07T08:47:43+00:00","mainEntityOfPage":{"@id":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/koordinat-cartesius\/"},"wordCount":813,"publisher":{"@id":"https:\/\/quipperhome.wpcomstaging.com\/#organization"},"image":{"@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#primaryimage"},"thumbnailUrl":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp","articleSection":["Matematika"],"inLanguage":"id"},{"@type":"WebPage","@id":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/koordinat-cartesius\/","url":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/","name":"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal - Quipper Blog","isPartOf":{"@id":"https:\/\/quipperhome.wpcomstaging.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#primaryimage"},"image":{"@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#primaryimage"},"thumbnailUrl":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp","datePublished":"2021-11-01T07:07:53+00:00","dateModified":"2023-02-07T08:47:43+00:00","description":"Belajar materi Koordinat Cartesius lengkap meliputi pengertian, sistem koordinat dan contoh soal beserta pembahasan - mata pelajaran matematika kelas 8","breadcrumb":{"@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/"]}]},{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#primaryimage","url":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp","contentUrl":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp","width":800,"height":533},{"@type":"BreadcrumbList","@id":"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/koordinat-cartesius\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/quipperhome.wpcomstaging.com\/"},{"@type":"ListItem","position":2,"name":"Mapel","item":"https:\/\/quipperhome.wpcomstaging.com\/category\/mapel\/amp\/"},{"@type":"ListItem","position":3,"name":"Matematika","item":"https:\/\/quipperhome.wpcomstaging.com\/category\/mapel\/matematika\/"},{"@type":"ListItem","position":4,"name":"Materi Koordinat Cartesius: Pengertian, Sistem Koordinat dan Contoh Soal"}]},{"@type":"WebSite","@id":"https:\/\/quipperhome.wpcomstaging.com\/#website","url":"https:\/\/quipperhome.wpcomstaging.com\/","name":"Quipper Blog","description":"Blog Pendidikan - Referensi untuk Siswa &amp; Guru","publisher":{"@id":"https:\/\/quipperhome.wpcomstaging.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/quipperhome.wpcomstaging.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"id"},{"@type":"Organization","@id":"https:\/\/quipperhome.wpcomstaging.com\/#organization","name":"Quipper Indonesia","url":"https:\/\/quipperhome.wpcomstaging.com\/","logo":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/quipperhome.wpcomstaging.com\/#\/schema\/logo\/image\/","url":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/08\/quipper-main-logo.png","contentUrl":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2021\/08\/quipper-main-logo.png","width":146,"height":40,"caption":"Quipper Indonesia"},"image":{"@id":"https:\/\/quipperhome.wpcomstaging.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/QuipperVideoID\/","https:\/\/x.com\/quipper_id","https:\/\/instagram.com\/quipper_id\/"]},{"@type":"Person","@id":"https:\/\/quipperhome.wpcomstaging.com\/#\/schema\/person\/b08224c7b72a87b156db30c3b032083b","name":"sereliciouz","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/secure.gravatar.com\/avatar\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=gdc25c3abc1bedfa09a01ed68c15b905f","url":"https:\/\/secure.gravatar.com\/avatar\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=g","caption":"sereliciouz"},"description":"just another random person.","sameAs":["http:\/\/sereliciouz.wordpress.com"],"url":"https:\/\/quipperhome.wpcomstaging.com\/author\/sereliciouz\/"}]}},"jetpack_featured_media_url":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/07\/Koordinat-Cartesius.webp","jetpack_shortlink":"https:\/\/wp.me\/paV35H-1gGl","jetpack_sharing_enabled":true,"authors":[{"term_id":679386827,"user_id":99400369,"is_guest":0,"slug":"sereliciouz","display_name":"sereliciouz","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/cdcfef2aeafd7da12ba6905491ca51000871ffb5ab6f3b8dd2822116a5fe9434?s=96&d=identicon&r=g","author_category":"","user_url":"http:\/\/sereliciouz.wordpress.com","last_name":"Kedang","first_name":"Serenata","job_title":"","description":"just another random person."},{"term_id":679386836,"user_id":0,"is_guest":1,"slug":"pamela-natasa","display_name":"Pamela Natasa, S.Pd.","avatar_url":{"url":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2023\/02\/Pamela-Natasa.webp","url2x":"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2023\/02\/Pamela-Natasa.webp"},"author_category":"","user_url":"https:\/\/www.linkedin.com\/in\/pamela-natasa-356387180\/","last_name":"Natasa","first_name":"Pamela","job_title":"","description":"<span><strong>Matematika<\/strong><\/span>\r\n<p>Pamela Natasa lulusan dari Pendidikan Matematika di Universitas Sultan Ageng Tirtayasa. Telah aktif mengajar sejak kuliah semester 8 di tahun 2017. Berpengalaman mengajar matematika dan kuantitatif untuk jenjang SD hingga SMA. Menurut Kak Pamela, belajar matematika itu simpel lho, karena nggak perlu menghafal rumus. Hal yang terpenting dari belajar matematika adalah penguasaan konsep dasar. Dengan begitu, akan lebih mudah untuk memahami topik-topik lainnya deh.<\/p>\r\n\r\n<div class=\"super-guru\">\r\n        <div class=\"guru-univ\">\r\n                <div class=\"guru-univ-icon\">\r\n                        <img src=\"https:\/\/www.quipper.com\/id\/blog\/wp-content\/uploads\/2023\/02\/super-campus.webp\" alt=\"super universitas\" \/>\r\n                <\/div>\r\n                <div>\r\n                        <span>Universitas Sultan Ageng Tirtayasa<\/span>\r\n                <\/div>\r\n        <\/div>\r\n        <div class=\"guru-major\">\r\n                <div class=\"guru-major-icon\">\r\n                        <img src=\"https:\/\/www.quipper.com\/id\/blog\/wp-content\/uploads\/2023\/02\/super-majors.webp\" alt=\"super jurusan\" \/>\r\n                <\/div>\r\n                <div>\r\n                        <span>Pendidikan Matematika<\/span>\r\n                <\/div>\r\n        <\/div>\r\n<\/div>"}],"_links":{"self":[{"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/posts\/302457","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/users\/99400369"}],"replies":[{"embeddable":true,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/comments?post=302457"}],"version-history":[{"count":15,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/posts\/302457\/revisions"}],"predecessor-version":[{"id":314812,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/posts\/302457\/revisions\/314812"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/media\/302472"}],"wp:attachment":[{"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/media?parent=302457"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/categories?post=302457"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/tags?post=302457"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/quipperhome.wpcomstaging.com\/wp-json\/wp\/v2\/ppma_author?post=302457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}