{"id":1203,"date":"2020-08-14T22:47:47","date_gmt":"2020-08-14T20:47:47","guid":{"rendered":"http:\/\/matma.com.pl\/?p=1203"},"modified":"2020-08-25T19:53:06","modified_gmt":"2020-08-25T17:53:06","slug":"czworokaty-2","status":"publish","type":"post","link":"http:\/\/matma.com.pl\/?p=1203","title":{"rendered":"Czworok\u0105ty"},"content":{"rendered":"<p>Czworok\u0105ty<span style=\"font-family: 'book antiqua', palatino, serif;\"> to figury geometryczne maj\u0105ce cztery boki, cztery k\u0105ty i cztery wierzcho\u0142ki. Ka\u017cdy czworok\u0105t ma dwie przek\u0105tne.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img fetchpriority=\"high\" decoding=\"async\" class=\" wp-image-1240 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/czworok\u0105t-300x252.png\" alt=\"\" width=\"258\" height=\"217\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/czworok\u0105t-300x252.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/czworok\u0105t.png 392w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><\/span><\/p>\n<p><span style=\"text-decoration: underline; font-family: 'book antiqua', palatino, serif;\">Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna\u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?360^{\\circ&amp;space;}\" alt=\"360^{\\circ }\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"wp-image-1244 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/czworok\u0105t11-300x236.png\" alt=\"\" width=\"234\" height=\"184\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/czworok\u0105t11-300x236.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/czworok\u0105t11.png 365w\" sizes=\"(max-width: 234px) 100vw, 234px\" \/><\/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 przynajmniej jedna par\u0119 bok\u00f3w r\u00f3wnoleg\u0142ych zwanych podstawami i dwa boki zwane ramionami.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"wp-image-912 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapezz-300x218.png\" alt=\"\" width=\"213\" height=\"155\" 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: 213px) 100vw, 213px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Suma miar k\u0105t\u00f3w le\u017c\u0105cych,p 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=\"text-decoration: underline; font-family: 'book antiqua', palatino, serif;\">Rodzaje traper\u00f3w:<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Trapez prostok\u0105tny<\/span> to czworok\u0105t o jednej parze bok\u00f3w r\u00f3wnoleg\u0142ych zwanych podstawami. Jedno rami\u0119 jest prostopad\u0142e do obu podstaw.<\/span><\/p>\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=\"236\" height=\"157\" 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: 236px) 100vw, 236px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Trapez r\u00f3wnoramienny<\/span> to czworok\u0105t o jednej parze bok\u00f3w r\u00f3wnoleg\u0142ych zwanych podstawami. Oba ramiona s\u0105 takiej samej d\u0142ugo\u015bci. Obie przek\u0105tne s\u0105 r\u00f3wne. W trapezie r\u00f3wnoramiennym k\u0105ty, kt\u00f3re le\u017c\u0105 przy tej samej podstawie, s\u0105 sobie r\u00f3wne.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1242 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/trapez-r\u00f3wnoramienny1.png\" alt=\"\" width=\"230\" height=\"148\" \/><\/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 dwie pary bok\u00f3w r\u00f3wnoleg\u0142ych. Przek\u0105tne r\u00f3wnoleg\u0142obok\u00f3w przecinaj\u0105 si\u0119 w po\u0142owie. K\u0105ty le\u017c\u0105ce na przeciw siebie 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\" \/>. Jedna przek\u0105tna r\u00f3wnoleg\u0142oboku dzieli go na dwa takie same tr\u00f3jk\u0105ty.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Romb<\/strong><\/span> to czworok\u0105t, kt\u00f3ry ma dwie pary bok\u00f3w r\u00f3wnoleg\u0142ych i wszystkie jego boki s\u0105 r\u00f3wne. Przek\u0105tne rombu przecinaj\u0105 si\u0119 w po\u0142owie, pod k\u0105tem prostym.\u00a0<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" 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=\"458\" height=\"159\" 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: 458px) 100vw, 458px\" \/><\/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 dwie pary bok\u00f3w r\u00f3wnoleg\u0142ych i wszystkie jego k\u0105ty wewn\u0119trzne s\u0105 proste. Przek\u0105tne prostok\u0105t\u00f3w s\u0105 takiej samej d\u0142ugo\u015bci.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-901 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/prostok\u0105t.png\" alt=\"\" width=\"198\" height=\"130\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Kwadrat<\/strong><\/span> do czworok\u0105t, kt\u00f3ry ma dwie pary bok\u00f3w r\u00f3wnoleg\u0142ych. Wszystkie boki s\u0105 takiej samej d\u0142ugo\u015bci i wszystkie jego k\u0105ty wewn\u0119trzne s\u0105 proste. Przek\u0105tne kwadratu przecinaj\u0105 si\u0119 w po\u0142owie, pod k\u0105tem prostym.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-906 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/kawdrrat.png\" alt=\"\" width=\"153\" height=\"158\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Podsumowuj\u0105c wszystkie wiadomo\u015bci z tego dzia\u0142u mo\u017cemy napisa\u0107:<\/span><\/p>\n<p><span style=\"color: #339966; font-family: 'book antiqua', palatino, serif;\">KWADRAT JEST PROSTOK\u0104TEM!<\/span><\/p>\n<p><span style=\"color: #800080; font-family: 'book antiqua', palatino, serif;\">PROSTOK\u0104T JEST R\u00d3WNOLEG\u0141OBOKIEM!<\/span><\/p>\n<p><span style=\"color: #ffcc00; font-family: 'book antiqua', palatino, serif;\">ROMB JEST R\u00d3WNOLEG\u0141OBOKIEM!<\/span><\/p>\n<p><span style=\"color: #3366ff; font-family: 'book antiqua', palatino, serif;\">R\u00d3WNOLEG\u0141OBOK JEST TRAPEZEM!<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Czworok\u0105ty to figury geometryczne maj\u0105ce cztery boki, cztery k\u0105ty i cztery wierzcho\u0142ki. Ka\u017cdy czworok\u0105t ma dwie przek\u0105tne. Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna\u00a0. Trapez to czworok\u0105t, kt\u00f3ry ma przynajmniej jedna par\u0119 bok\u00f3w r\u00f3wnoleg\u0142ych zwanych podstawami i dwa boki zwane ramionami. Suma miar k\u0105t\u00f3w le\u017c\u0105cych,p ka\u017cdym boku jest r\u00f3wna . Rodzaje traper\u00f3w: Trapez prostok\u0105tny to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,13],"tags":[],"class_list":["post-1203","post","type-post","status-publish","format-standard","hentry","category-baza-wiedzy","category-klasa-vi"],"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=\"https:\/\/matma.com.pl\/?p=1203\" \/>\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. Ka\u017cdy czworok\u0105t ma dwie przek\u0105tne. Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna\u00a0. Trapez to czworok\u0105t, kt\u00f3ry ma przynajmniej jedna par\u0119 bok\u00f3w r\u00f3wnoleg\u0142ych zwanych podstawami i dwa boki zwane ramionami. Suma miar k\u0105t\u00f3w le\u017c\u0105cych,p ka\u017cdym boku jest r\u00f3wna . 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Ka\u017cdy czworok\u0105t ma dwie przek\u0105tne. Suma miar k\u0105t\u00f3w w czworok\u0105cie jest r\u00f3wna\u00a0. Trapez to czworok\u0105t, kt\u00f3ry ma przynajmniej jedna par\u0119 bok\u00f3w r\u00f3wnoleg\u0142ych zwanych podstawami i dwa boki zwane ramionami. Suma miar k\u0105t\u00f3w le\u017c\u0105cych,p ka\u017cdym boku jest r\u00f3wna . 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