{"id":896,"date":"2020-08-08T21:06:08","date_gmt":"2020-08-08T19:06:08","guid":{"rendered":"http:\/\/matma.com.pl\/?p=896"},"modified":"2020-08-09T19:45:19","modified_gmt":"2020-08-09T17:45:19","slug":"czworokaty","status":"publish","type":"post","link":"http:\/\/matma.com.pl\/?p=896","title":{"rendered":"Czworok\u0105ty"},"content":{"rendered":"<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><strong><span style=\"color: #4472c4;\">Czworok\u0105ty<\/span><\/strong> to figury geometryczne maj\u0105ce cztery boki, cztery k\u0105ty i cztery wierzcho\u0142ki. <span style=\"text-decoration: underline;\">Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?360^{\\circ&amp;space;}\" alt=\"360^{\\circ }\" align=\"absmiddle\" \/><\/span>. Na pewno ka\u017cdy pi\u0105toklasista wie jak wygl\u0105da prostok\u0105t czy kwadrat. Pami\u0119tamy pewnie tak\u017ce, \u017ce <span style=\"text-decoration: underline;\">kwadrat jest prostok\u0105tem<\/span>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><strong><span style=\"color: #4472c4;\">Prostok\u0105t<\/span><\/strong> to czworok\u0105t, kt\u00f3ry ma cztery boki i cztery k\u0105ty proste. Przeciwleg\u0142e boki prostok\u0105ta s\u0105 r\u00f3wnoleg\u0142e a przek\u0105tne s\u0105 takiej samej d\u0142ugo\u015bci.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"wp-image-901 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/prostok\u0105t.png\" alt=\"\" width=\"246\" height=\"162\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Kwadrat<\/strong><\/span> to prostok\u0105t, kt\u00f3rego wszystkie boki s\u0105 r\u00f3wne. Przek\u0105tne kwadratu s\u0105 r\u00f3wne i przecinaj\u0105 si\u0119 pod k\u0105tem <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?90^{\\circ&amp;space;}\" alt=\"90^{\\circ }\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"alignnone wp-image-906 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/kawdrrat.png\" alt=\"\" width=\"155\" height=\"161\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Jakie jeszcze powinni\u015bmy zna\u0107 czworok\u0105ty? R\u00f3wnoleg\u0142oboki, romby i trapezy&#8230;<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><strong><span style=\"color: #4472c4;\">R\u00f3wnoleg\u0142obok<\/span><\/strong> to czworok\u0105t, kt\u00f3ry ma r\u00f3wnoleg\u0142e pary bok\u00f3w. A je\u015bli boki r\u00f3wnoleg\u0142oboku s\u0105 r\u00f3wne to mamy <strong><span style=\"color: #4472c4;\">romb<\/span><\/strong>. Czyli <span style=\"text-decoration: underline;\">prostok\u0105ty i kwadraty to<\/span> tak\u017ce <span style=\"text-decoration: underline;\">r\u00f3wnoleg\u0142oboki<\/span>. A <span style=\"text-decoration: underline;\">kwadrat to<\/span> taki <span style=\"text-decoration: underline;\">romb<\/span> z k\u0105tami prostymi. Przek\u0105tne r\u00f3wnoleg\u0142obok\u00f3w przecinaj\u0105 si\u0119 w po\u0142owie, a romb\u00f3w w po\u0142owie i ponadto pod k\u0105tem prostym.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-907 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/romb-i-r\u00f3wnoleg\u0142obok-300x104.png\" alt=\"\" width=\"586\" height=\"203\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/romb-i-r\u00f3wnoleg\u0142obok-300x104.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/romb-i-r\u00f3wnoleg\u0142obok-575x198.png 575w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/romb-i-r\u00f3wnoleg\u0142obok.png 736w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Trapez<\/strong><\/span> to czworok\u0105t, kt\u00f3ry ma co najmniej jedn\u0105 par\u0119 bok\u00f3w r\u00f3wnoleg\u0142ych. <span style=\"text-decoration: underline;\">R\u00f3wnoleg\u0142oboki<\/span> tj. romb, prostok\u0105t i kwadrat s\u0105 trapezami. Ka\u017cdy trapez ma <span style=\"color: #4472c4;\">dwie<\/span> r\u00f3wnoleg\u0142e <span style=\"color: #4472c4;\">podstawy<\/span> (g\u00f3rn\u0105 i doln\u0105) oraz <span style=\"color: #4472c4;\">dwa ramiona<\/span>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-912 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapezz-300x218.png\" alt=\"\" width=\"249\" height=\"181\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapezz-300x218.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapezz.png 399w\" sizes=\"(max-width: 249px) 100vw, 249px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Wyr\u00f3\u017cniamy trapezy:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">r\u00f3\u017cnoboczne <\/span>&#8211; wszystkie boki s\u0105 r\u00f3\u017cnej d\u0142ugo\u015bci;<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-909 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3\u017cnoboczny-300x190.png\" alt=\"\" width=\"236\" height=\"149\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3\u017cnoboczny-300x190.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3\u017cnoboczny.png 354w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/span><\/p>\n<ul>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">r\u00f3wnoramienne<\/span> &#8211; ramiona s\u0105 tej samej d\u0142ugo\u015bci;<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-910 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3wnoramienny-300x185.png\" alt=\"\" width=\"246\" height=\"152\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3wnoramienny-300x185.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3wnoramienny.png 304w\" sizes=\"(max-width: 246px) 100vw, 246px\" \/><\/span><\/p>\n<ul>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">prostok\u0105tne<\/span> &#8211; jedno rami\u0119 jest prostopad\u0142e do obu podstaw.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-911 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-prostokatny-300x200.png\" alt=\"\" width=\"257\" height=\"171\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-prostokatny-300x200.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-prostokatny.png 335w\" sizes=\"(max-width: 257px) 100vw, 257px\" \/><\/span><\/p>\n<p><span style=\"color: #4472c4; font-family: 'book antiqua', palatino, serif;\"><strong>K\u0105ty w czworok\u0105tach<\/strong><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Oczywistym jest, \u017ce k\u0105ty w prostok\u0105tach i kwadratach s\u0105 proste.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">W przypadku r\u00f3wnoleg\u0142obok\u00f3w wystarczy, \u017ce przypomnimy sobie co to s\u0105 k\u0105ty przyleg\u0142e i k\u0105ty odpowiadaj\u0105ce. W\u00f3wczas sami zrozumiemy zale\u017cno\u015bci mi\u0119dzy k\u0105tami w tych figurach.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-915 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/k\u0105ty-r\u00f3wnoleg\u0142obok-300x214.png\" alt=\"\" width=\"327\" height=\"233\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/k\u0105ty-r\u00f3wnoleg\u0142obok-300x214.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/k\u0105ty-r\u00f3wnoleg\u0142obok.png 515w\" sizes=\"(max-width: 327px) 100vw, 327px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">W r\u00f3wnoleg\u0142oboku k\u0105ty przeciwleg\u0142e s\u0105 r\u00f3wne, a suma miar k\u0105t\u00f3w przy jednym boku jest r\u00f3wna <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?180^{\\circ&amp;space;}\" alt=\"180^{\\circ }\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Je\u015bli chodzi o trapezy musimy przypomnie\u0107 sobie co to s\u0105 k\u0105ty przyleg\u0142e odpowiadaj\u0105ce i naprzemianleg\u0142e. Dzi\u0119ki tej wiedzy mo\u017cemy \u0142atwiej zrozumie\u0107 zwi\u0105zki jakie zachodz\u0105 w trapezie.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-916 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/katy-trapez-300x266.png\" alt=\"\" width=\"289\" height=\"256\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/katy-trapez-300x266.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/katy-trapez.png 429w\" sizes=\"(max-width: 289px) 100vw, 289px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Widzimy, \u017ce suma k\u0105t\u00f3w przy ka\u017cdym boku jest r\u00f3wna <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?180^{\\circ&amp;space;}\" alt=\"180^{\\circ }\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Natomiast w trapezie r\u00f3wnoramiennym k\u0105ty, kt\u00f3re le\u017c\u0105 przy tej samej podstawie b\u0119d\u0105 sobie r\u00f3wne.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-917 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/kattrapr\u00f3wn.png\" alt=\"\" width=\"194\" height=\"152\" \/><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Czworok\u0105ty to figury geometryczne maj\u0105ce cztery boki, cztery k\u0105ty i cztery wierzcho\u0142ki. Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna . Na pewno ka\u017cdy pi\u0105toklasista wie jak wygl\u0105da prostok\u0105t czy kwadrat. Pami\u0119tamy pewnie tak\u017ce, \u017ce kwadrat jest prostok\u0105tem. Prostok\u0105t to czworok\u0105t, kt\u00f3ry ma cztery boki i cztery k\u0105ty proste. Przeciwleg\u0142e boki prostok\u0105ta s\u0105 r\u00f3wnoleg\u0142e a przek\u0105tne [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,12],"tags":[],"class_list":["post-896","post","type-post","status-publish","format-standard","hentry","category-baza-wiedzy","category-klasa-v"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Czworok\u0105ty - Matma.com.pl<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/matma.com.pl\/?p=896\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Czworok\u0105ty - Matma.com.pl\" \/>\n<meta property=\"og:description\" content=\"Czworok\u0105ty to figury geometryczne maj\u0105ce cztery boki, cztery k\u0105ty i cztery wierzcho\u0142ki. Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna . Na pewno ka\u017cdy pi\u0105toklasista wie jak wygl\u0105da prostok\u0105t czy kwadrat. Pami\u0119tamy pewnie tak\u017ce, \u017ce kwadrat jest prostok\u0105tem. Prostok\u0105t to czworok\u0105t, kt\u00f3ry ma cztery boki i cztery k\u0105ty proste. Przeciwleg\u0142e boki prostok\u0105ta s\u0105 r\u00f3wnoleg\u0142e a przek\u0105tne [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"http:\/\/matma.com.pl\/?p=896\" \/>\n<meta property=\"og:site_name\" content=\"Matma.com.pl\" \/>\n<meta property=\"article:published_time\" content=\"2020-08-08T19:06:08+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-08-09T17:45:19+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/latex.codecogs.com\/gif.latex?360circ&amp;space;\" \/>\n<meta name=\"author\" content=\"lucynabartczak99\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"lucynabartczak99\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/matma.com.pl\/?p=896#article\",\"isPartOf\":{\"@id\":\"http:\/\/matma.com.pl\/?p=896\"},\"author\":{\"name\":\"lucynabartczak99\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e\"},\"headline\":\"Czworok\u0105ty\",\"datePublished\":\"2020-08-08T19:06:08+00:00\",\"dateModified\":\"2020-08-09T17:45:19+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/matma.com.pl\/?p=896\"},\"wordCount\":413,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/matma.com.pl\/#organization\"},\"articleSection\":[\"Baza Wiedzy\",\"Klasa V\"],\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/matma.com.pl\/?p=896#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/matma.com.pl\/?p=896\",\"url\":\"http:\/\/matma.com.pl\/?p=896\",\"name\":\"Czworok\u0105ty - Matma.com.pl\",\"isPartOf\":{\"@id\":\"https:\/\/matma.com.pl\/#website\"},\"datePublished\":\"2020-08-08T19:06:08+00:00\",\"dateModified\":\"2020-08-09T17:45:19+00:00\",\"breadcrumb\":{\"@id\":\"http:\/\/matma.com.pl\/?p=896#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/matma.com.pl\/?p=896\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/matma.com.pl\/?p=896#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/matma.com.pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Czworok\u0105ty\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/matma.com.pl\/#website\",\"url\":\"https:\/\/matma.com.pl\/\",\"name\":\"Matma.com.pl\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/matma.com.pl\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/matma.com.pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/matma.com.pl\/#organization\",\"name\":\"Matma.com.pl\",\"url\":\"https:\/\/matma.com.pl\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg\",\"contentUrl\":\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg\",\"width\":150,\"height\":30,\"caption\":\"Matma.com.pl\"},\"image\":{\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e\",\"name\":\"lucynabartczak99\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g\",\"caption\":\"lucynabartczak99\"},\"url\":\"http:\/\/matma.com.pl\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Czworok\u0105ty - Matma.com.pl","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":"http:\/\/matma.com.pl\/?p=896","og_locale":"pl_PL","og_type":"article","og_title":"Czworok\u0105ty - Matma.com.pl","og_description":"Czworok\u0105ty to figury geometryczne maj\u0105ce cztery boki, cztery k\u0105ty i cztery wierzcho\u0142ki. Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna . Na pewno ka\u017cdy pi\u0105toklasista wie jak wygl\u0105da prostok\u0105t czy kwadrat. Pami\u0119tamy pewnie tak\u017ce, \u017ce kwadrat jest prostok\u0105tem. Prostok\u0105t to czworok\u0105t, kt\u00f3ry ma cztery boki i cztery k\u0105ty proste. Przeciwleg\u0142e boki prostok\u0105ta s\u0105 r\u00f3wnoleg\u0142e a przek\u0105tne [&hellip;]","og_url":"http:\/\/matma.com.pl\/?p=896","og_site_name":"Matma.com.pl","article_published_time":"2020-08-08T19:06:08+00:00","article_modified_time":"2020-08-09T17:45:19+00:00","og_image":[{"url":"http:\/\/latex.codecogs.com\/gif.latex?360^{\\circ&amp;space;}"}],"author":"lucynabartczak99","twitter_card":"summary_large_image","twitter_misc":{"Napisane przez":"lucynabartczak99","Szacowany czas czytania":"2 minuty"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/matma.com.pl\/?p=896#article","isPartOf":{"@id":"http:\/\/matma.com.pl\/?p=896"},"author":{"name":"lucynabartczak99","@id":"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e"},"headline":"Czworok\u0105ty","datePublished":"2020-08-08T19:06:08+00:00","dateModified":"2020-08-09T17:45:19+00:00","mainEntityOfPage":{"@id":"http:\/\/matma.com.pl\/?p=896"},"wordCount":413,"commentCount":0,"publisher":{"@id":"https:\/\/matma.com.pl\/#organization"},"articleSection":["Baza Wiedzy","Klasa V"],"inLanguage":"pl-PL","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/matma.com.pl\/?p=896#respond"]}]},{"@type":"WebPage","@id":"http:\/\/matma.com.pl\/?p=896","url":"http:\/\/matma.com.pl\/?p=896","name":"Czworok\u0105ty - Matma.com.pl","isPartOf":{"@id":"https:\/\/matma.com.pl\/#website"},"datePublished":"2020-08-08T19:06:08+00:00","dateModified":"2020-08-09T17:45:19+00:00","breadcrumb":{"@id":"http:\/\/matma.com.pl\/?p=896#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["http:\/\/matma.com.pl\/?p=896"]}]},{"@type":"BreadcrumbList","@id":"http:\/\/matma.com.pl\/?p=896#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/matma.com.pl\/"},{"@type":"ListItem","position":2,"name":"Czworok\u0105ty"}]},{"@type":"WebSite","@id":"https:\/\/matma.com.pl\/#website","url":"https:\/\/matma.com.pl\/","name":"Matma.com.pl","description":"","publisher":{"@id":"https:\/\/matma.com.pl\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/matma.com.pl\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pl-PL"},{"@type":"Organization","@id":"https:\/\/matma.com.pl\/#organization","name":"Matma.com.pl","url":"https:\/\/matma.com.pl\/","logo":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/","url":"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg","contentUrl":"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg","width":150,"height":30,"caption":"Matma.com.pl"},"image":{"@id":"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e","name":"lucynabartczak99","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/matma.com.pl\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g","caption":"lucynabartczak99"},"url":"http:\/\/matma.com.pl\/?author=1"}]}},"_links":{"self":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts\/896","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=896"}],"version-history":[{"count":8,"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions"}],"predecessor-version":[{"id":949,"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions\/949"}],"wp:attachment":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=896"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}