I. Burchaklar. Masofalar

ga, kichik asosi 4 na teng. Uning diagonali yon tomoni va katta asosi bilan mos ravishda 30° va a burchak hosil qiladi. α burchakni toping.
A) 60° V) 35° S) 30° D) 50° Ye) 45°
1 7. Rasmdagi BCD teng yonli uchburchakning BCD burchagi 135º, ABDE
teng yonli trapesiyaning ABD burchagi 112,5 bo‘lsa, insbatni hisoblang.
A) 2 B) 3 C) 1,5 D) hisoblab bo‘lmaydi E) 0,5
18. Asoslari 12 va 16 ga, o‘tmas burchagi 120º ga teng bo‘lgan teng yonli trapesiyaning yuzini hisoblang.
A) B) C) D) 14 E) 42
19. Teng yonli trapesiyaning asoslari 8 va 14 ga, yon tomoni esa 5 ga teng. Trapesiyaning yuzini hisoblang.
A) 22 B) 36 C) 44 D) 80 E) 224
20. ABCD to‘g‘ri burchakli trapesiyaning (AD||BC va AB AD) kichik diagonali katta yon tomoniga teng. Trapesiyaning kichik diagonali va kichik asosi orasidagi burchak 40º ga teng. Trapesiyaning o‘tkir burchagini toping.
A) 40º B) 50º C) 30º D) 45º E) 35º
2 1. Rasmda ABCD - teng yonli trapesiya. , va Trapesiyaning balandligini toping.

A) 4 B) 5 C) 6 D) 7 E) 8

22. Teng yonli trapesiyaning diagonali uning o‘tkir burchagini teng ikkiga bo‘ladi. Agar trapesiyaning perimetri 48 ga, katta asosi 18 ga teng bo‘lsa, uning o‘rta chizig‘ini toping.
A) 14 B) 15 C) 16 D) 12 E) 13
23. Teng yonli trapesiyaning asoslari 15 va 25 ga, balandligi esa 15 ga teng. Trapesiyaning diagonalini toping.
A) 35 B) 28 C) 25 D) 30 Ye) 20
24. Asoslari 8 va 12 ga teng bo‘lgan teng yonli trapesiyaning diagonallari o‘zaro perpendikulyar. Trapesiyaning yuzini hisoblang.
A) 100 B) 64 C) 144 D) 52 Ye) 76
25. Teng yonli trapesiyaning yon tomoni 41 ga, balandligi 40 ga va o‘rta chizig‘i 45 ga teng. Trapesiyaning katta asosini topig.
A) 50 B) 54 C) 55 D) 60 E) 65
26. Diagonallari 10 va 12 ga teng bo‘lgan trapesiyaning yuzi eng ko‘pi bilan nechaga teng bo‘lishi mumkin?
A) 30 B) 120 C) D) Ye) 60
27. Teng yonli trapesiyaning kichik asosi 3 ga, perimetri 42 ga teng. Uning diagonali o‘tmas burchagini teng ikkiga bo‘ladi. Trapesiyaning o‘rta chizig‘ini toping.
A) 8 B) 8,5 C) 12 D) 7,5 Ye) 10
28. Trapesiyaning asoslari 3 va 6 ga, yuzi 30 ga teng. Uning yon tomonlari Ye nuqtada kesishguncha davom ettirildi. BES uchburchakning yuznni toping.

A) 12 B) 10 C) 8 D) 15 Ye) 14
29. Asoslari 6 va 14 ga teng bo‘lgan teng yonli trapesiyaning diagonallari o‘zaro perpendikulyar. Trapesiyaning yon tomonini toping.
A) B) C) D) E)
30. Trapesiyaning yuzasi 30 ga, balandligi 6 ga teng bo‘lsa, uning o‘rta chizig‘i qanchaga teng bo‘ladi?
A) 2,5 B) 5 C) 7,5 D) 4,5 E) 6
31 Trapesiyaning yon tomoni uchta teng qismga bo‘lingan, bo‘linish nuqtalaridan ikkinchi yon tomoniga asosga parallel kemalar o‘tkazilgan. Trapesiyaning asoslari 2 va 5 ga teng bo‘lsa, bu kesmalarning uzunliklarini toping.
A) 3; 4 B) 2,5; 3,5 C) 3,5; 4,5 D) 2,5; 4 E) 3; 4,5
32. Teng yonli trapesiyaning katta asosi 2,7 ga, yon tomoni 1 ga, ular oarsidagi burchak 60º ga teng. Uning kichik assini toping.
A) 1,7 B) 2,35 C) 1,35 D) E)
33. Teng yonli trapesiyaning yon tomoni va kichik asosi 5 ga, balandligi 4 ga teng. Trapesiyaning yuzi 12 dan qancha ko‘p?
A) 19 V) 22 S) 20 D) 18 Ye) 24
34. BC va AD - trapesiyaning asoslari; O – AC va BD diagonallarning kesishish nuqtasi. BOC va AOD uchburchaklarning yuzlari mos ravishda 4 va 9 ga teng. Trapesiyaning yuzini toping.
A) 16 B) 25 C) 26 D) 30 E) 36
35. Teng yonli trapesiyaning yon tomoni 5 ga, balandligi 4 ga va katta asosi 9 ga teng. Uning o‘rta chizig‘ini toping.
A) 4 B) 5 C) 3 D) 2 E) 6
36. Trapesiyaning asoslari 44 va 16 ga, yon tomonlari esa 25 va 17 ga teng. Trapesiyaning balandligini toping.
A) 15 V) 14 S) 12 D) 16 Ye) 10
37. Teng yonli trapesiyaning yon tomoni 7 ga, diagonali 8 ga, o‘rta chizig‘i 4 ga teng. Trapesiyaning kichik asosini toping.
A) 3 V) 4 S) 5 D) 2 E) 4,2
38. Tengyonli trapesiya diagonallarining kesishgan nuqtasi O dan uzunligi 15 ga teng ON perpendikulyar tushirildi. Trapesiyaning diagonali 12 ga teng va kichik asosi katta asosidan ikki marta qisqa. N nuqta trapesiya katta asosining uchidan qanday masofada joylashgan?
A) 17 B) 18 C) 20 D) 21 E) 24
39. ABCD trapesiyaning kichik asosi 6 ga teng. Agar AVE uchburchakning (BE || CD) perimetri 36 ga teng bo‘lsa, trapesiyaning perimetrini toping.
A) 45 V) 48 S) 42 D) 50 Ye) 52
40. Trapesiyaning yuzi 594 ga, balandligi 22 ga, asoslari ayirmasi 6 ga teng, Trapesiya katta asosining uzunligini toping.
A) 34 V) 32 S) 28 D) 30 Ye) 36
41. Teng yonli trapesiyaning asoslari 4 va 6 ga, yon tomoni esa 5 ga teng. Trapesiya diagonallari uzunliklarining yig‘indisini toping.
A) 10 V) 12 S) 14 D) 15 Ye) 16
42. To‘g‘ri burchakli trapesiyaning diagonali uni tomoni 20 ga teng bo‘lgan teng tomonli uchburchakka va to‘g‘ri burchakli uchburchakka bo‘ladi. Trapesiyaning o‘rta chizig‘ini toping.
A) 10 V) 12 S) 15 D) 16 Ye) 18
43. To‘g‘ri burchakli trapesiyaning o‘tkir burchagi 45º ga, perimetri 2 ga teng.
Balandligi qanday bo‘lganda, shu trapesiyaning yuzi eng katta bo‘ladi?
A) B) 0,5 C) D) E)
44. ABCD trapesiyaning AC diagonali yon tomoniga perpendikulyar hamda DAB burchakning bissektrissasida yotadi. Agar AC = 8 va DAB = 60º bo‘lsa, trapesiyaning o‘rta chizig‘ini toping.
A) B) 2 C) 2,5 D) 4 E) 3
45. VS va AD - trapepiyaning asoslari, O - AS va BD diagonallarining kesishish nuqtasi. VOS va AOD uchburchaklarning yuzlari mos ravishda 9 va 16 ga teng. Trapesiyaning yuzini toping.
A) 32 V) 36 S) 49 D) 64 Ye) 56
46. Trapesiyaning o‘rta chizig‘i 3 ga, balandligi 8 ga teng. Uning yuzini hisoblang.
A) 24 B) 12 C) 16 D) 32 E) 28
47. O‘tmas burchagi 120° ga, asoslarining uzunliklari 6 va 2 ga teng bo‘lgan teng yonli trapesiyaning perimetrini toping. A) 12 V) 16 S) 18 D) 20 Ye) 14
48. Teng yonli trapesiyaning yon tomoni 5 ga teng, uning diagonali esa o‘rta chizig‘ini 3 va 7 ga teng kesmalarga bo‘ladi. Trapesiyaning yuzini hisoblang.
A) 45 V) 40 S) 35 D) 30 Ye) 25
49. ABCD trapesiyaning kichik asosi VS 8 ga va balandligi 10 ga teng. ACD uchburchakning yuzi 60 ga teng bo‘lsa, trapesiyaning yuzini toping.
A) 120 B) 140 C) 100 D) 180 E) 160
50. Trapesiyaning asoslari 2 va 3 ga, katta asosiga yopishgan burchaklari 30º va 45º ga teng bo‘lsa, trapesiyaning yuzi qanchaga teng bo‘ldi?
A) B) C) D) E)
51. ABCD trapesiyada (AD||BC) A = 90º, C = 135º va AB = 2. Agar diagonali yon tomoniga perpendikulyar bo‘lsa, uning o‘rta chizig‘ini toping.
A) 3 B) 4 C) 6 D) 2 E)
52. Trapesiyaning yon tomoni 3 va 4, asoslari 10 va 5 ga teng. Yon tomonlarini davom ettirishdan hosil bo‘lgan burchakning qiymatini toping.
A) 90º B) 60º C) 45º D) 120º E) 30º
53. Teng yonli trapesiyada bir asosi ikkinchisidan 2 marta katta. Katta asosining o‘rtasi o‘tmas burchagi uchidan kichik asos uzunligiga teng masofada yotadi. Trapesiyaning burchaklarini toping.
A) 60º; 120º; 120º; 60º B) 45º; 135º; 135º; 45º C) 80º; 100º; 100º; 80º
D) 30º; 150º; 150º; 30º E) 50º; 130º; 130º; 50º
54. Teng yonli trapesiyaning diagonali yon tomoniga perpendikulyar. Uning o‘tmas uchidan tushirilgan baladligi 4 ga teng va asosini 4:1 nisbatda bo‘ladi. Trapesiyaning yuzini toping.
A) 30 B) 28 C) 32 D) 34 E) 26
55. Katta asosi 32 ga teng va kichik asosi balandligidan 2 marta katta bo‘lgan trapesiyaning yuzi 132 dan katta va 161 dan kichik. Shu trapesiyaning baladligi qanday oraliqda bo‘ladi?
A) (3; 4) B) (2,5; 3) C) (2; 3) D) (5; 6) E) (6; 7)
56. Asoslari 17 va 7 ga teng bo‘lgan trapesiyaning diagonallari o‘rtalarini tutashtiruvchi kesmaning uzunligini toping.
A) 3,5 B) 4 C) 5 D) 4,5 E) 6,25
57. Teng yonli trapesiyaning diagonallari o‘zaro perpendikulyar. Trapesiyaning katta asosi 18 ga, kichik asosi esa ga teng. Trapesiyaning yuzini toping.
A) 290 B) 296 C) 288 D) 286 E) 284
58. To‘g‘ri burchakli trapesiyaning kichik asosi , katta yon tomoni asosidagi burchagi 45º ga teng. Trapesiyaning yuzini toping.
A) B) C) D) E)
59. O‘tkkr burchagi 60° bo‘lgan teng yonli trapesiyaning asoslari 1:2 nisbatga teng. Agar trapesiyaning perimetri 50 ga teng bo‘lsa, uning katta asosini toping.
A) 20 V) 18 S) 22 D) 24 E) 16
60. Trapesiya asoslarining uzunliklari 28 va 12 ga teng. Trapesiya diagonallarini tutashtiruvchi kesmaning uzunligini aniqlang.
A) 8 B) 10 C) 6 D) 9 E) 7
61. ABCD trapesiyada AS diagonal CD yon tomonga perpendikulyar. Agar D = 72° va AV = VS bo‘lsa, ABC ni toping.
A) 150° V) 144° S) 136° D) 112° Ye) 108°
62. Teng yonli trapesiyaning yon tomoni va kichik asosi ga katta asosiga yopishgan burchagi ga teng. Shu trapesiyaning yuzini toping.
A) 2b²sina B) b²sin2 C) D) E)
63. Trapesiyaning diagonallari uning o‘rta chizig‘ini uchta teng bo‘lakka ajratsa,
katta asosning kichik asosga nisbatini toping.
A) 2 : 1 B) 3 : 1 C) 3 : 2 D) 5 : 2 E) 7 : 3
63. Teng yonli trapesiyaning diagonallari o‘zaro perpendikulyar. Trapesiyaning katta asosi 18 ga, kichik asosi 6 ga teng. Shu trapesiyaning yuzini toping.
A) 288 V) 290 S) 248 D) 264 Ye) 238
64. Teng yonli trapesiyaning diagonali ga teng va u asosi bilan 30° li burchak tashkil etadi. Trapesiyaning o‘rta chizig‘i nimaga teng?
A) 16 V) 12 S) 10 D) 20 Ye) aniqlab bo‘lmaydi
65. ABCD trapesiyaning o‘rta chizig‘i uni o‘rta chiziqlari 13 va 17 bo‘lgan ikkita trapesiyaga ajratadi. ABCD trapesiyaning katta asosini toping.
A) 19 V) 21 S) 18 D) 30 Ye) 23
66. ABCD (AB||DC) trapesiyada AV = 6, BC = 3, CD = 4 va DA = 2 bo‘lsa, S burchakning kosinusini toping.
A) B) C) D) E)
67. ABCD (BC║AD) trapesiyaning dioganallari O nuqtada kesishadi. Agar BO = 2, DO = 4 va BOC uchburchakning yuzi 6 ga teng bo‘lsa, shu trapesiyaning yuzini toping.
A) 42 B) 48 C) 52 D) 54 E) 60
68. Teng yonli trapesiyaning yon tomoni 5 ga teng, diagonali zsa o‘rta chizig‘ini 3 va 7 ga teng bo‘lgan kesmalarga ajratadi. Trapesiyaning yuzini toping.
A) 30 B) 40 C) 45 D) 25 Ye) 50
69. Teng yonli trasesiya asoslarining ayirmasi uning yon tomoniga teng. Shu trapesiyaning katta burchagini toping.
A) 120° V) 135° S) 150° D) 100° Ye) aliqlab bo‘lmaydi
70. Trapesiyaning asoslari 8 va 12 ga, o‘tkir burchaklaridan biri 30° ga teng. Yon tomonlari davom ettirilsa, to‘g‘ri burchak ostida kesishadi. Trapesiyaning balandligini toping.
A) V) S) D) Ye) 3
71. Teng yonli trapesiyaning o‘rta chizig‘i 6 ga teng va diagonallari o‘zaro perpendikulyar. Trapesiyaning yuzini toping.
A) 36 V) 32 S) 49 D) 40 Ye) 25