[{"question":"M\u00e1me navz\u00e1jom si podobn\u00e9 trojuholn\u00edky ABC a KLM. Uhol CAB m\u00e1 ve\u013ekos\u0165 38 stup\u0148ov, uhol ABC 92 stup\u0148ov. Ve\u013ekos\u0165 uhla KML je","answers":["50 stup\u0148ov","120 stup\u0148ov","88 stup\u0148ov","65 stup\u0148ov"],"correct":"50 stup\u0148ov","order":"1"},{"question":"Trojuholn\u00edky ABC a A\u00b4B\u00b4C\u00b4 s\u00fa si podobn\u00e9, pri\u010dom koeficient podobnosti k = 3. Pomer obvodov t\u00fdchto trojuholn\u00edkov je","answers":["6","3","9","1\/3"],"correct":"3","order":"2"},{"question":"Ak skuto\u010dn\u00e1 vzdialenos\u0165 miest A a B je 3 km, pri zn\u00e1zornen\u00ed na mape je 7,5 cm, mierka mapy je","answers":["1:30000","1 : 50","1 : 7 000","1 : 40 000"],"correct":"1 : 40 000","order":"3"},{"question":"M\u00e1me podobn\u00e9 trojuholn\u00edky XYZ a ABC, dan\u00e9 je: k = 5\/2, S(XYZ) = 24 cm2, x = 8 cm. V\u00fd\u0161ka na a je","answers":["7 cm","9 cm","15 cm","12 cm"],"correct":"15 cm","order":"4"},{"question":"Dan\u00fd je pravouhl\u00fd trojuholn\u00edk ABC s odvesnami 3 cm a 4 cm. Trojuholn\u00edk XYZ, ktor\u00fd je podobn\u00fd s ABC, m\u00e1 preponu dlh\u00fa 2,5 cm. Krat\u0161ia prepona v XYZ je dlh\u00e1","answers":["1,5cm","15 cm","5 cm","5,1 cm"],"correct":"1,5cm","order":"5"},{"question":"Dan\u00fd je trojuholn\u00edk STU so stranami: s = 8 cm, t = 14 cm, u = 18 cm. STU je podobn\u00e1 trojuholn\u00edk ABC, ktor\u00e9ho obvod je 10 dm. Strany a, b, c s\u00fa ve\u013ek\u00e9","answers":["a=20 cm, b = 30 cm, c = 50 cm","a = 2 dm, b = 35 cm, c = 4,5 dm","a = 2 dm, b = 45 cm, c = 30 cm","a = 45 cm, b = 36 cm, c = 22 cm"],"correct":"a = 2 dm, b = 35 cm, c = 4,5 dm","order":"6"},{"question":"Vypo\u010d\u00edtajte d\u013a\u017eku odvesien trojuholn\u00edka KLM s preponou m = 1 dm, ak jemu podobn\u00fd trojuholn\u00edk ABC m\u00e1 d\u013a\u017eky odvesien a = 3 cm a b = 4 cm.","answers":["k = 8 cm, l = 5 cm","k = l = 8 cm","k = 5 cm, l = 6 cm","k = 6 cm, l = 8 cm"],"correct":"k = 6 cm, l = 8 cm","order":"7"},{"question":"D\u013a\u017eka balk\u00f3na na pl\u00e1ne chaty je 2 cm. Pl\u00e1n je zhotoven v mierke 1 : 300. Skuto\u010dn\u00e1 d\u013a\u017eka balk\u00f3na bude","answers":["580 cm","3 m","1,5 m","60 dm"],"correct":"60 dm","order":"8"},{"question":"Pod kom\u00ednom stoj\u00ed chlapec a pozoruje svoj tien , ktor\u00fd m\u00e1 d\u013a\u017eku 150 cm. Tie\u0148 kom\u00edna je v tom istom momente dlh\u00fd 75 m. Kom\u00edn je vysok\u00fd","answers":["40 m","30 m","50 m","60 m"],"correct":"50 m","order":"9"},{"question":"S\u00fa si pravouhl\u00e9 trojuholn\u00edky HRA a PUK podobn\u00e9, ak prepona v PUK je 20 cm, a jedna z odvesien je dlh\u00e1 12 cm?","answers":["\u00e1no, pri\u010dom k = 400","nie","\u00e1no, pri\u010dom k = 30","\u00e1no, pri\u010dom k = 5"],"correct":"\u00e1no, pri\u010dom k = 400","order":"10"}]