[{"question":"Dopl\u0148te defin\u00edciu: Stredov\u00e1 s\u00famernos\u0165 je zobrazenie (v rovine alebo priestore), ktor\u00e9 bodu S prirad\u00ed ten ist\u00fd bod a bodu A, ktor\u00fd nele\u017e\u00ed na bode S, bod A', pri\u010dom plat\u00ed:","answers":["|SA|\u2260 |SA'|","|SA| < |SA'|","|SA| = |SA'|","|SA| > |SA'|"],"correct":"|SA| = |SA'|","order":"1"},{"question":"Ako sa naz\u00fdva bod S z predch\u00e1dzaj\u00facej defin\u00edcie?","answers":["stred s\u00famernosti","obraz","vzor","os s\u00famernosti"],"correct":"stred s\u00famernosti","order":"2"},{"question":"Ako sa naz\u00fdva bod A z predch\u00e1dzaj\u00facej defin\u00edcie?","answers":["stred s\u00famernosti","obraz","vzor","os s\u00famernosti"],"correct":"vzor","order":"3"},{"question":"Ako sa naz\u00fdva bod A\u2019 z predch\u00e1dzaj\u00facej defin\u00edcie?","answers":["stred s\u00famernosti","obraz","vzor","os s\u00famernosti"],"correct":"obraz","order":"4"},{"question":"Ktor\u00e9 z uveden\u00fdch obrazcov patr\u00ed medzi stredovo s\u00famern\u00e9 objekty?","answers":["trojuholn\u00edk","lichobe\u017en\u00edk","p\u00e4\u0165uholn\u00edk","koso\u0161tvorec"],"correct":"koso\u0161tvorec","order":"5"},{"question":"Ktor\u00e9 z uveden\u00fdch obrazcov patr\u00ed medzi stredovo nes\u00famern\u00e9 objekty?","answers":["\u0161tvorec","obd\u013a\u017enik","trojuholn\u00edk","kruh"],"correct":"trojuholn\u00edk","order":"6"},{"question":"M\u00e1te trojuholn\u00edk ABC. Zobrazte trojuholn\u00edk ABC cez stred s\u00famernosti, ktor\u00fdm je bod C. \u010co v\u00e1m vznikne?","answers":["trojuholn\u00edk A'B'C', ktor\u00fd sa nach\u00e1dza na\u013eavo od p\u00f4vodn\u00e9ho trojuholn\u00edka","trojuholn\u00edk A'B'C', ktor\u00fd sa nach\u00e1dza napravo od p\u00f4vodn\u00e9ho trojuholn\u00edka","trojuholn\u00edk A'B'C', ktor\u00fd sa nach\u00e1dza v oblasti nad bodom C","trojuholn\u00edk A'B'C', ktor\u00fd sa nach\u00e1dza pod p\u00f4vodn\u00fdm trojuholn\u00edkom"],"correct":"trojuholn\u00edk A'B'C', ktor\u00fd sa nach\u00e1dza v oblasti nad bodom C","order":"7"},{"question":"Pre\u010do je trojuholn\u00edk ABC stredovo nes\u00famern\u00fd?","answers":["preto\u017ee m\u00e1 tri uhly a stredovo s\u00famern\u00e9 objekty maj\u00fa len \u0161tyri uhly","preto\u017ee m\u00e1 menej ako 4 uhly","preto\u017ee m\u00e1 kru\u017enicu op\u00edsan\u00fa aj vp\u00edsan\u00fa, ktor\u00e9 s\u00fa stredovo s\u00famern\u00e9 objekty a preto n\u00edm u\u017e trojuholn\u00edk by\u0165 nem\u00f4\u017ee","preto\u017ee, ak budeme chcie\u0165 zobrazova\u0165 vrcholy trojuholn\u00edka cez jeho stred, nikdy sa nedostaneme do nejak\u00e9ho in\u00e9ho p\u00f4vodn\u00e9ho vrcholu tohto trojuholn\u00edka"],"correct":"preto\u017ee, ak budeme chcie\u0165 zobrazova\u0165 vrcholy trojuholn\u00edka cez jeho stred, nikdy sa nedostaneme do nejak\u00e9ho in\u00e9ho p\u00f4vodn\u00e9ho vrcholu tohto trojuholn\u00edka","order":"8"},{"question":"Pre\u010do je \u0161tvorec stredovo s\u00famern\u00fd?","answers":["preto\u017ee, ak ktor\u00fdko\u013evek bod \u0161tvorca zobraz\u00edme cez jeho stred, dostaneme sa do bodu, ktor\u00fd op\u00e4\u0165 le\u017e\u00ed len na \u0161tvorci a to na opa\u010dnej strane ako p\u00f4vodn\u00fd bod","preto\u017ee m\u00e1 \u0161tyri uhly a stredovo s\u00famern\u00e9 objekty maj\u00fa len \u0161tyri body","preto\u017ee m\u00e1 rovnako dlh\u00e9 v\u0161etky strany, \u010do je podmienkou preto, aby bol \u00fatvar stredovo s\u00famern\u00fd","\u0161tvorec nie je stredovo s\u00famern\u00fd objekt, stredovo s\u00famern\u00e9 objekty s\u00fa len jeho body"],"correct":"preto\u017ee, ak ktor\u00fdko\u013evek bod \u0161tvorca zobraz\u00edme cez jeho stred, dostaneme sa do bodu, ktor\u00fd op\u00e4\u0165 le\u017e\u00ed len na \u0161tvorci a to na opa\u010dnej strane ako p\u00f4vodn\u00fd bod","order":"9"},{"question":"Majte dva \u0161tvorce ABCD a A'B'C'D'. Medzi nimi sa nach\u00e1dza bod S. Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed nesmie plati\u0165, aby mohol by\u0165 bod S bodom, cez ktor\u00fd sme zo \u0161tvorca ABCD vytvorili \u0161tvorec A'B'C'D'?","answers":["|AS| = |A'S|","|BS| = |B'S|","|CS| > |C'S|","|DS| = |D'S|"],"correct":"|CS| > |C'S|","order":"10"}]