I. Burchaklar

IV. To`rtburchaklar

1. To`g`ri to`rtburchakning to`g`ri burchagiuchidan uning diagonaliga tushirilgan perpendikulyar to`g`ri burchakni 3:1 kabi nisbatda bo`ladi. Shu perpendikulyar bilan boshqa diagonal orasidagi burchakni toping. (00–6–39).
A)22,5⁰ B)30⁰ C)45⁰ D)40⁰ E)32,5⁰
2. Rombning diagonali tomoni bilan 25⁰ liburchak tashkil qiladi. Rombning katta burchagini toping. (96–7–48).
A) 165⁰ B) 150⁰ C) 130⁰ D) 120⁰ E) 115⁰
3. Rombning diagonallarining tomonlari bilan hosil qilgan burchaklari kattaliklarining nisbati 2:7 ga teng. Rombning kichik burchagini toping.
(97–10–48).
A)20⁰ B) 30⁰ C) 40⁰ D) 60⁰ E) 70⁰
4. Parallelogrammning o`tkir burchagi uchidan uning shu uchidan o`tmaydigan yon tomonlariga tushirilgan perpendikulyar orasidagi burchak 130⁰ ga teng. Parallelogrammning o`tkir burchagini toping. (99–2–45).
A) 40⁰ B) 45⁰ C) 50⁰ D) 55⁰ E) 35⁰
5. Paralleogrammning diagonali tomonlari bilan 20⁰ va 50⁰ li burchaklar tashkil qiladi. Parallelogrammning katta burchagini toping.
(97–3–48).
A) 100⁰ B) 145⁰ C) 130⁰ D) 110⁰ E) 135⁰
6. Parallelogramm burchaklaridan ikkitasining ayirmasi 50⁰ ga teng. Shu ­burchaklarni toping. (97–9–44).
A) 65⁰;115⁰ B) 60⁰;110⁰ C) 45⁰;135⁰
D) 55⁰;115⁰ E) 50⁰;100⁰
7. Parallelogramm burchaklaridan ikkitasining ayirmasi 70⁰ ga teng. Shu ­burchaklarni toping. (97–5–44).
A) 45⁰;115⁰ B) 65⁰;135⁰ C) 75⁰;105⁰
D) 55⁰;125⁰ E) 60⁰;130⁰
8. Ikkita burchagining yig`indisi 100<sup>0</sup> ga teng bo`lgan parallelogrammning katta burchagini toping.
(97–7–48).
A) 100⁰ B) 110⁰ C) 120⁰ D) 130⁰ E) 150⁰
9. Teng yonli trapetsiyaning burchaklaridan biri ikkinchisidan 4 marta katta bo`lsa, shu burchaklarni toping. (97–9–103).
A) 30⁰;120⁰ B) 40⁰;160⁰ C) 25⁰;100⁰
D) 36⁰;144⁰ E) 32⁰;128⁰
10. Teng yonli trapetsiyaning yon tomoni ga, kichik asosi 4 ga teng. Uning diagonali yon tomoni va katta asosi bilan mos ravishda 30⁰ va α burchak hosil qiladi. α burchakni toping. (97–9–107).
A) 60⁰ B) 35⁰ C) 30⁰ D) 50⁰ E) 45⁰
11. ABCD to`g`ri burchakli trapetsiyaning (AD||BC va AB AD) kichik diagonali katta yon tomoniga teng. Trapetsiyaning kichik diagonali va kichik asosi orasidagi burchak 40⁰ ga teng. Trapetsiyaning o`tkir burchagini toping. (97–12–17).
A) 40⁰ B) 50⁰ C) 30⁰ D) 45⁰ E) 35⁰
12. To`rtburchak burchaklari o`zaro 3:5:4:6 nisbatda. To`rtburchakning kichik burchagini toping.
(96–1–41).
A) 80⁰ B) 30⁰ C) 60⁰ D) 40⁰ E) 25⁰
13. To`rtburchakning burchaklaridan biri to`g`ri burchak, qolganlari 4:3:2 nisbatda. To`rtburchakning kichik burchagini toping. (96–10–43).
A) 30⁰ B) 45⁰ C) 50⁰ D) 60⁰ E) 80⁰
14. Qavariq to`rtburchakning uchta burchagi yig`indisi 240⁰ ga teng. To`rtinchi burchagiga qo`shni bo`lgan burchakning qiymatini toping. (98–10–21).
A) 30⁰ B) 45⁰ C) 90⁰ D) 120⁰ E) 60⁰
15. Agar kvadratning tomoni 5 marta qisqartirilsa, uning yuzi necha marta kamayadi? (96–9–98).
A) 5 B) 10 C) 20 D) 25 E) 7,5
16. Agar kvadratning diagonali 2 marta kamaytirilsa uning yuzi necha marta kichiklashadi? (96–10–48).
A) 2 B) C) 4 D) 8 E)
17. Kvadratning tomoni necha marta kamaytirganda yuzi 4 marta kamayadi? (97–9–50).
A) 5 B) 2,5 C) 3 D) 4 E) 2
18. Kvadratning tomoni necha marta kamaytirganda uning yuzi 4 marta kichrayadi? (97–5–50).
A) 1,5 B) 2 C) 2,5 D) 3 E) 3,5
19. O`lchamlari 24m x 15m bo`lgan zalni tomoni 20 sm bo`lgan kvadrat shaklidagi plitkalardan nechtasi bilan qoplash mumkin ? (98–12–99).
A)900 B)18000 C)9000 D)1800 E)6000
20. To`g`ri to`rtburchakning eni 5 ga teng, bo`yi undan 7 ga ortiq. To`g`ri to`rtburchakning perimetrini hisoblang. (97–9–1).
A) 32 B) 34 C) 24 D) 26 E) 30
21. To`g`ri to`rtburchakning eni 7 ga teng, bo`yi undan 3 ga ortiq. To`g`ri to`rtburchakning perimetrini hisoblang. (97–5–1).
A) 22 B) 20 C) 34 D) 30 E) 32
22. To`g`ri to`rtburchakning yuzi 400 ga, tomonlarining nisbati 4:1 ga teng. To`rtburchakning perimetrini toping. (98–1–44).
A)100 B) C)200 D) E)120
23. To`g`ri to`rtburchakning perimetri 32 ga, qo`shni tomonlarining ayirmasi 2 ga teng. Uning tomonlarini toping. (98–7–32).
A) 8 va 6 B) 12 va 10 C) 10 va 8
D) 9 va 7 E) 11 va 9
24. To`g`ri to`rtburchakning uzunligi 25% ga orttirildi. Uning yuzi o`zgarmasligi uchun enini necha foizga kamaytirish kerak? (00–4–50).
A) 20 B) 16 C) 25 D) 18 E) 19,2
25. Agar to`g`ri to`rtburchakning tomonlari 4 marta orttirilsa, uning yuzi necha marta ortadi?
(96–1–46).
A) 4 B) 8 C) 12 D) 16 E) 32
26. Tomonlari 72 va 8 bo`lgan to`rtburchakka tengdosh kavadratning tomonini toping. (96–10–47).
A) 36 B) 28 C) 24 D) 18 E) 26
27. ABCD to`g`ri to`rtburchakning A burchagi bissektrisasi BC tomonni uzunliklari BM=16 va MC=14 bo`lgan ikki qismga ajratadi. To`g`ri to`rtburchakning yuzini toping. (98–10–20).
A) 500 B) 420 C) 480 D) 510 E) 460
28. To`g`ri to`rtburchakning perimetri 60 ga teng, bir tomoni boshqa tomonidan 6 ga ko`p. To`g`ri to`rtburchakning yuzini toping. (98–8–44).
A) 196 B) 216 C) 108 D) 144 E) 180
29. To`g`ri to`rtburchakning katta tomini 12 ga, diagonallarining kesishgan nuqtasidan katta tomonigacha bo`lgan masofa 3 ga teng. To`g`ri to`rtburchakning yuzini toping. (98–9–46).
A) 96 B) 54 C) 48 D) 72 E) 64
30. Rombning diagonallari 3:4 kabi nisbatda, yuzi esa 384 ga teng. Uning tomonini toping. (96–7–47).
A) 18 B) 20 C) 24 D) 28 E) 30
31. Rombning balandligi 5 ga, diagonallarining ko`paytmasi 80 ga teng. Uning perimetrini toping. (98–2–50).
A) 32 B) 16 C) 24 D) 28 E) 20
32. Rombning tomoni 6 ga, o`tkir burchagi 30<sup>0</sup> ga teng. Uning diagonallari ko`paytmasini toping.
(98–10–23)
A) 27 B) 18 C) 42 D) 36 E) 28
33. Ikkita o`xshash romblar tomonlarining nisbati 3 ga teng. Ularning yuzlarini nisbatini hisoblang.
(97–9–114).
A) 7 B) 8 C) 10 D) 11 E) 9
34. Agar rombning bir diagonalini 10% uzaytirib, ikkinchi diagonalini 15% qisqartirilsa, rombning yuzi qanday o`zgaradi? (97–9–115).
A) 5% ortadi B) o`zgarmaydi C) 6,5% kamayadi D) 5,65% kamayadi E) 6,5% ortadi.
35. Rombning tomoni 4 ga, yuzi 9 ga teng. Rombning diagonallari yig`indisini toping. (99–2–49).
A) 12 B) 11 C) 10 D) 9,5 E) 11,5
36. Rombning katta burchagi 120⁰ ga, kichik diagonali ga teng. Rombning yuzini toping. (00–9–3).
A) 54 B) 102 C) 84 D) 48 E) 96
37. Rombning o`tmas burchagi 120⁰ ga, katta diagonali ga teng. Rombning yuzini hisoblang.
(99–9–40).

38. Rombning tomoni 5 ga,diagonallaridan biri 6 ga teng. Rombning yuzini toping. (00–1–52).
A) 24 B) 28 C) 30 D) 20 E) 22
39. Rombning tomoni 10 ga, diagonallarining nisbati 4:3 ga teng. Rombning yuzini toping. (97–7–47).
A) 192 B) 96 C) 24 D) 60 E) 48
40. Tomoni ga, diagonallaridan biri 4 ga teng bo`lgan rombning yuzini toping. (97–10–47).
A) 20 B) C) 16 D) 32 E)
41. Agar rombning tomoni 10 ga, burchaklaridan biri 150⁰ ga teng bo`lsa, uning yuzi qanchaga teng bo`ladi? (00–5–58).
A) 100 B) 80 C) 90 D) 50 E) 60
42.Rombning ga teng balandligi tomonini teng ikkiga bo`ladi. Rombning perimetrini toping.
(97–7–44).
A) B) 24 C) 36 D) E) 48
43. Rombning uchidan tushirilgan balandligi uning tomonini, o`tkir burchagi uchidan boshlab hisoblaganda, 3 va 2 ga teng bo`lgan kesmalarga bo`linadi. Rombning yuzini toping. (98–6–36).
A) 10 B) 20 C) 15 D) 18 E) 24
44. Rombning yuzi 18 ga, diagonallaridan biri 9 ga teng. Ikkinchi diagonalni uzunligini toping.
(96–6–38).
A) 3,5 B) 5 C) 4,5 D) 4 E) 6
45. Rombning yuzi 24 ga, diagonallaridan biri 6 ga teng. Uning tomonini toping. (97–3–47).
A) 10 B) 5 C) 8 D) 4,8 E) 6
46.Rombning kichik diagonali ga, yuzi 1,5 ga teng. Uning o`tmas burchagini toping. (99–4–45).
A)150⁰ B)120⁰ C)135⁰ D)110⁰ E)140⁰
47. Rombning tomoni 6 ga, yuzi 18 ga teng. Uning o`tmas burchagini toping. (97–2–38).
A)135⁰ B)120⁰ C)150⁰ D)140⁰ E)165⁰
48. Rombning yuzi 16 ga, perimetri 12 ga teng. Uning diagonallari yig`indisini toping. (99–7–39).
A) 8 B) 12 C) 11 D) 10 E) 9
49. Rombning tomonlari a ga, o`tmas burchagi α ga teng. Rombning yuzini hisoblash uchun quyida keltirilgan ifodalardan qaysi biri to`g`ri?
(96–10–49).

50. Perimetri 2p ga, diagonallarining yig`indisi m ga teng bo`lgan rombning yuzini toping. (98–5–40).

51. Parallelogrammning 5 ga teng bo`lgan diagonali uning 12 ga teng bo`lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. (96–7–44).
A) 50 B) 34 C) 100 D) 48 E) 68
52. Parallelogrammning burchaklaridan biri 150⁰ ga teng.Uning 6 ga teng bo`lgan diagonali tomoniga perpendikulyar. Parallelogrammning perimetrini toping. (97–3–44).
A)36 B)48 C) D)36 E)
53. Burchaklaridan biri 45⁰ ga teng bo`lgan 4 ga teng bo`lgan parallelogram diagonali tomoniga perpendikulyar. Parallelogrammning perimetrini toping. (97–10–44).
A)32 B) C) E)24
54. Parallelogrammning o`tkir burchagi 60⁰ ga teng. Uning kichik diagonali katta tomoni bilan 30⁰ li burchak tashkil qiladi. Parallelogrammning katta tomoni 20 ga teng. Uning yuzini toping.
(98–2–49).
A) B)85 C) D) E)
55. Perimetri 60 ga teng bo`lgan parallelogrammning tomonlari nisbati 2:3 ga, o`tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.
(97–11–30).
A) 108 B) 54 C) 96 D) E)
56. Parallelogramm tomonlarining nisbati 3:5 kabi. Agar parallelogrammning perimetri 48 ga, burchaklaridan biri 120⁰ ga teng bo`lsa, uning yuzini toping. (97–1–30).
A)67,5 B) C) 48 D) E)
57. Parallelogramning diagonallari 6 va 8, ular orasidagi burchak 30⁰. Parallelogrammning yuzini toping. (96–9–97).
A) 48 B) 24 C) D) 12 E)
58. ABCD parallelogrammda AC CD, CE AD, AE=16 va ED=4. Parallelogrammning yuzini toping. (00–1–51).
A) 150 B) 145 C) 155 D) 148 E) 160
59. ABCD parallelogrammda A burchagi 30⁰ ga teng. A burchagining bissektrisasi BC tomonni E nuqtada kesib o`tadi. Agar BE=4 va EC=2 bo`lsa, paralellogrammning yuzini toping. (00–7–41).
A) 10 B) 11 C) 9 D) 12 E) 8
60. Balandliklari va 4 ga, ular orasidagi burchagi 60⁰ ga teng. Parallelogrammning yuzini toping.
(99–9–40).
A) B) 48 C) D) 96 E) 72
61. Parallelogrammning tomonlaridan biri ikkinchisidan 4 marta katta. Agar uning perimetri ga, o`tkir burchagi 45<sup>0</sup> ga teng bo`lsa, yuzini toping. (97–6–30).
A) B) C) 16 D) 8 E)
62. ABCD parallelogrammda OB AC, AO=8, OC=6 va BO=4. Parallelogrammning yuzini toping.
(98–9–44).

A) 50 B) 28 C) 56 D) 52 E) 32
63. Parallelogrammning tomonlari 11 va 23 ga , diagonallari nisbati 2:3 ga teng. Uning katta diagonalini toping. (00–3–82).
A) 18 B) 20 C) 24 D) 25 E) 30
64. Yuzasi 144, balandliklari 8 va 12 bo`lgan parallelogrammning perimetrini toping. (96–1–45).
A) 40 B) 30 C) 80 D) 120 E) 60
65. Parallelogrammning tomonlari 12 va 5 ga teng. Uning katta tomoniga yopishgan burchaklarining bissektrisalari qarama-qarshi tomonni uch qismga ajratadi. Shu qismlardan eng kichigining uzunligini toping. (00–6–42).
A) 2 B) 2,5 C) 3,2 D) 3,6 E) 3
66. Parallelogramm o`tkir burchagining bissektrisasi uning diagonalini uzunliklari 3,2 va 8,8 bo`lgan kesmalarga ajratadi. Agar parallelogrammning perimetri 30 ga teng bo`lsa, uning katta tomonini toping. (00–3–80).
A) 8 B) 9 C) 12 D) 11 E) 10
67. ABCD parallelogrammning perimetri 10 ga teng. ABD uchburchakning perimetri 8 ga teng. BD diagonalining uzunligini toping. (99–1–33).
A) 3 B) 4 C) 2 D) 3,5 E) 2,5
68. Tomonlari 5 va 6 bo`lgan parallelogrammning yuzi 24 ga teng. Parallelogrammning kichik diagonalini toping. (00–5–57).
A) B) 5 C) 4,5 D) 4 E) 6
69. Tomonlari 4 va 8 bo`lgan parallelogrammning yuzi 16. Parallelogrammning o`tmas burchagini toping. (97–8–37).
A) 120⁰ B) 150⁰ C) 135⁰ D) 105⁰ E) 160⁰
70. ABCD-parallelogrammda AD=3, S_ABCD=12. DE–? (96–3–102).

A) 2 B) 2,2 C) 2,3 D) 2,1 E) 2,4
71. ABCD-parallelogrammda AD=DB, S_ABCD=32.
DE–? (96–9–36).

A) 4 B) 4,5 C) 3 D) 3,5 E) 5
72. AD||BC, AB||DC, DB=4, S_ABCD=12. AB–?
(96–12–106).

A) 6 B) 7 C) 5,5 D) 5 E) 6,5
73. ABCD-parallelogrammda AD=DB, S_ABCD=32. AB–? (96–13–44).

A) 6 B) 9 C) 7 D) E) 8
74. Parallelogrammning 6 ga teng bo`lgan kichik diagonali uning 8 ga teng bo`lgan kichik tomoniga perpendikulyar. Parallelogrammning katta tomoniga tushirilgan balandlikni toping.
(99–2–46).
A) 4,2 B) 4,4 C) 4,6 D) 4 E) 4,8
75. Parallelogrammning tomonlari a va b, o`tmas burchagi α ga teng. Parallelogrammning yuzini hisoblash uchun quyidagi ifodalardan qaysi biri to`g`ri ?(96–9–100).

76. Teng yonli trapetsiyaning kichik asosi 3 ga, perimetri 42 ga teng. Uning diagonali o`tmas burchagini teng ikkiga bo`ladi. Trapetsiyaning o`rta chizig`ini toping. (98–8–37).
A) 8 B) 8,5 C) 12 D) 7,5 E) 10
77. Trapetsiyaning kichik asosi 4sm. o`rta chizig`i katta asosidan 4sm ga qisqa. Trapetsiyaning o`rta chizig`ini toping. (96–9–95).
A) 6 B) 10 C) 8 D) 9 E) 12
78. Teng trapetsiyaning diagonali uning o`tkir burchagini teng ikkiga bo`ladi. Agar trapetsiyaning perimetri 48 ga, katta asosi 18 ga teng bo`lsa, uning o`rta chizig`ini toping. (98–1–37).
A) 14 B) 15 C) 16 D) 12 E) 13
79. Teng trapetsiyanning yon tomonini 5 ga , balandligi 4ga va katta asosi 9 ga teng. Uning o`rta chizig`ini toping. (99–1–37).
A) 4 B) 5 C) 3 D) 2 E) 6
80. ABCD trapetsiyaning AC diagonali yon tomoniga perpendikulyar hamda DAB burchakning bissektrisasida yotadi. Agar AC=8 va DAB=60⁰ bo`lsa, trapetsiyaning o`rta chizig`ini toping.
(00–7–45).

81. To`g`ri burchakli trapetsiyaning diagonali uni tomoni 20 teng bo`lgan teng tomonli uchburchakka va to`g`ri burchakli uchburchakka bo`ladi. Trapetsiyaning o`rta chizig`ini toping. (00–3–79).
A) 10 B) 12 C) 15 D) 16 E) 18
82. Trapetsiyaning asoslari 44 va 16 ga, yon tomonlari esa 25 va 17 ga teng. Trapetsiyaning balandligini toping. (99–8–46).
A) 15 B) 14 C) 12 D) 16 E) 10
83. Rasmda ABCD–teng yonli trapetsiya. ABD=90⁰, BE AD, AE=4 va ED=9. Trapetsiyaning balandligini toping. (97–12–25).

A) 4 B) 5 C) 6 D) 7 E) 8
84. Teng trapetsiayning yon tomoni 41 ga, balandligi 40 ga va o`rta chizig`i 45 ga teng. trapetsiyaning katta asosini toping. (98–5–38).
A) 50 B) 54 C) 55 D) 60 E) 65
85. Trapetsiyaning o`rta chizig`i 9 sm, asoslaridan biri ikkinchisidan 6 sm qisqa. trapetsiyaning katta asosini toping. (96–1–43).
A) 15 B) 18 C) 14 D) 12 E) 10
86. Rasmda BC||AD, AO:OC=3:1 va AD=12. BC ning uzunligini toping. (97–8–25).

A) 4,8 B) 9 C) 8 D) 6 E) 4
87. Teng yonli trapetsiyaning katta asosi 2,7 ga, yon tomoni 1 ga, ular orasidagi burchak 60⁰ ga teng. Uning kichik asosini toping. (99–1–45).
A)1,7 B)2,35 C)1,35 D) E)
88. Teng yonli trapetsiyaning yon tomoni 7 ga, diagonali 8 ga, o`rta chizig`i 4 ga teng. Trapetsiyaning kichik aosini toping. (99–8–47).
A) 3 B) 4 C) 5 D) 2 E) 4,2
89. Trapetsiyaning yuzi 594 ga, balandligi 22 ga, asoslari ayirmasi 6 ga teng. Trapetsiyaning katta asosini toping. (00–2–38).
A) 34 B) 32 C) 28 D) 30 E) 36
90. Asoslari 6 va 14 ga teng bo`lgan teng yonli trapetsiyaning diagonallari o`zaro perpendikulyar. Trapetsiyaning yon tomonini toping. (98–10–94).

91. Teng yonli trapetsiyaning perimetri 36, o`rta chizig`i esa 10. Shu trapetsiyaning yon tomonini toping. (96–10–45).
A) 10 B) 8 C) 9 D) 13 E) 12
92. Teng yonli trapetsiyaning asoslari 15 va 25 ga, balandligi esa 15 ga teng. Trapetsiyaning diagonalini toping. (98–2–51).
A) 35 B) 28 C) 25 D) 30 E) 20
93. Teng yonli trapetsiyaning asoslari 6 va 18, diagonali 12 . Diagonallar kesishish nuqtasida diagonal qanday uzunlikdagi kesmalarga ajraladi? (96–10–46).
A) 4 va 8 B) 3 va 9 C) 2 va 10
D) 5 va 7 E) 3,5 va 8,5
94. Trapetsiyaning diagonallaridan birining uzunligi 27, ikkinchisi esa diagonallarining kesishish nuqtasida 10 va 8 li kesmalarga ajraladi. Birinchi diagonal qanday uzunlikdagi kesmalarga ajraladi? (96–9–96).
A) 20 va 7 B) 14 va 13 C) 18 va 9
D) 12 va 15 E) 10 va 17
95. Teng yonli trapetsiyaning asoslari 4 va 6 ga, yon tomoni esa 5 ga teng. Trapetsiyaning diagonallari uzunliklarining yig`indisini toping. (00–3–78).
A) 10 B) 12 C) 14 D) 15 E) 16
96. ABCD trapetsiyaning kichik asosi 6 ga teng. Agar ABE uchburchakning (BE||CD) perimetri 36 ga teng bo`lsa, trapetsiyaning perimetrini toping.
(00–1–50).
A) 45 B) 48 C) 42 D) 50 E) 52
97. Teng yonli trapetsiyaning burchaklaridan biri 120⁰ bo`lsa, shu trapetsiya kichik asosining yon tomoniga nisbati qancha bo`lishi mumkin?
(97–4–51).
A)2 B) C)aniqlab bo`lmaydi D)1,5 E) 3
98. Trapetsiyaning yon tomoni uchta teng qismga bo`lingan, bo`linish nuqtalaridan ikkinchi yon tomoniga asosga parallel qismlar o`tkazilgan. Trapetsiyaning asoslari 2 va 5 ga teng bo`lsa, bu kesmalarning uzunliklarini toping. (99–1–34).
A) 3; 4 B) 2,5; 3,5 C) 3,5; 4,5
D) 2,5; 4 E) 3; 4,5
99. Rasmda berilgan trapetsiyaning yuzini ttoping. (AD||BC). (96–3–48).


100. Teng trapetsiyaning asoslari 8 va 14 ga, yon tomoni esa 5 ga teng. Trapetsiyaning yuzini toping. (97–11–38).
A) 22 B) 36 C) 44 D) 80 E) 224
101. Rasmda AB||DC, O – to`rtburchak diagonallarining kesishish nuqtasi. DC=3, AB=6 va OC=8 bo`lsa, OA ning uzunligini toping.
(96–6–27).

A) 16 B) 4 C) 12 D) 14 E) 8
102. Asoslari 12 va 16 ga, o`tmas burchagi 120<sup>0</sup> ga teng bo`lgan teng yonli trapetsiyaning yuzini toping. (97–10–43).

103. Asoslari 8 va 12 ga teng bo`lgan ten yonli trapetsiyaning diagonallari o`zaro perpendikulyar. trapetsiyaning yuzini toping. (98–3–47).
A) 100 B) 64 C) 144 D) 52 E) 76
104. Teng yonli trapetsiyaning asoslari 12 va 6 ga teng. Uning diagonallari o`zaro perpendikulyar bo`lsa, trapetsiyaning yuzi qanchaga teng bo`ladi?
(98–11–83).
A) 80 B) 64 C) 72 D) 81 E) 100
105. Teng yonli trapetsiyaning asoslari 16 va 8 ga, o`tmas burchagi 150⁰ ga teng. Shu trapetsiyaning yuzini toping. (97–7–43).

106. Teng yonli trapetsiyaning asoslari 4,2 va 5,4 ga, kichik asosidagi burchagi esa 135⁰ ga teng. trapetsiyaning yuzini toping. (97–6–38).
A) 24,8 B) 9,6 C) 16,8 D) 4,8 E) 2,88
107. Teng yonli trapetsiyaning asoslari 2,1 va 7,5 ga, diagonali esa 6 ga teng. Trapetsiyaning yuzini toping. (97–1–38).
A)16,8 B)14,5 C)20,4 D)17,28 E)19,88
108. Teng yonli trapetsiyaning asoslari 10 va 20 ga, asosidagi burchagi 60⁰ ga teng. Shu trapetsiyaning yuzini toping. (97–3–43).

109. Teng yonli trapetsiyaning asoslari 7 va 13 ga, o`tmas burchagi 135⁰ ga teng. Shu trapetsiyaning yuzini toping. (96–7–43).
A) 60 B) 30 C) D) 136,5 E) 120
110. Rasmda berilgan trapetsiyaning yuzini toping. (AD||BC). (96–11–49).


111. BC va AD – trapetsiyaning asoslari, O – AC va BD diagonallarining kesishish nuqtasi. BOC va AOD uchburchaklarning yuzalari mos ravishda 4 va 9 ga teng. Trapetsiyaning yuzini toping.
(99–5–44).
A) 16 B) 25 C) 26 D) 30 E) 36
112. Teng yonli trapetsiyaning yon tomoni va kichik asosi 5 ga, balandligi 4 ga teng. Tarpetsiyaning yuzi 12 dan qanchaga ko`p? (99–2–47).
A) 19 B) 22 C) 20 D) 18 E) 24
113. Trapetsiyaning o`rta chizig`i 3 ga, balandligi 8 ga teng. Uning yuzini hisoblang. (00–10–33).
A) 24 B) 12 C) 16 D) 32 E) 28
114. BC va AD – trapetsiyaning asoslari, O – AC va Bd diagonallarining kesishish nuqtasi. BOC va AOD uchburchaklarning yuzalari mos ravishda 9 va 16 ga teng. Trapetsiyaning yuzini toping.
(00–9–48).
A) 32 B) 36 C) 49 D) 64 E) 56
115. Trapetsiyaning yuzasi 30 ga, balandligi 6 ga. teng bo`lsa, uning o`rta chizig`i qanchaga teng bo`ladi? (98–11–38).
A) 2,5 B) 5 C) 7,5 D) 4,5 E) 6
116. Diagonallari 10 va 12 ga teng bo`lgan trapetsiyaning yuzi eng ko`pi bilan nechaga teng bo`lishi mumkin? (98–6–35).
A) 30 B) 120 C) D) 90 E) 60
117. Uchburchakning yon tomoni uchidan boshlab hisoblaganda 2:3:4 kabi nisbatda bo`linadi va bo`linish nuqtalari orqali asosiga parallel to`g`ri chiziqlar o`tkazildi. Hosil bo`lgan figuralar yuzalarining nisbatlarini toping. (99–4–44).
A) 4:9:16 B) 2:5:9 C) 4:25:49
D) 4:21:56 E) 4:25:81
118. Qavariq to`rtburchakning diagonallari uni nechta uchburchakka ajratadi? (00–5–55).
A) 4 B) 5 C) 6 D) 7 E) 8
119. To`rtburchakka diagonal o`tkazish natijasida u perimetrlari 25 va 27 ga teng bo`lgan ikkita uchburchakka ajratildi. Agar to`rtburchakning perimetri 32 ga teng bo`lsa, o`tkazilgan diagonal uzunligini toping. (00–6–35).
A) 6 B) 8 C) 10 D) 11 E) 10,5
120. Perimetri 48 ga teng bo`lgan uchburchakning har bir tomoni 4 ga teng kesmalarga bo`lindi. Bo`linish nuqtalari tomonlarga parallel kesmalar bilan tutashtirilgan. Shu kesmalarning uzunliklarini toping. (98–12–45).
A) 72 B) 96 C) 24 D) 144 E) 36
121. Rasmdagi BCD teng yonli uchburchakning BCD burchagi 135⁰, ABDE teng yonli trapetsiyaning ABD burchagi 112,5⁰ bo`lsa, nisbatini hisoblang. (97–9–111).

A)2 B)3 C)1,5 D)hisoblab bo`lmaydi E)0,5
122. Shaklda berilganlarga ko`ra ADEC to`rtburchakning yuzini toping. (99–1–49).

A) 10 B) 6 C) 12 D) 8 E) 7
123. Shakga ko`ra BM:MA=3:5 va BN:NC=4:2 bo`lsa, ∆ABC yuzini ∆MBN yuziga nisbatini hisoblang. (99–9–38).

A) 4:1 B) 6:1 C) 3:2 D) 10:3 E) 9:4
124. Trapetsiyaning asoslari 3 va 6 ga, yuzi 30 ga teng. Uning yon tomonlari E nuqtada kesishguncha davom ettirildi. BEC uchburchakning yuzini toping.
(98–9–19).

A) 12 B) 10 C) 8 D) 15 E) 14
125. Teng yonli to`g`ri burchakli uchburchakka romb shunday ichki chizilganki, ularning bir burchagi umumiy rombning qolgan uchlari uchburchakning tomonlarida yotadi. Agar uchburchakning kateti ga teng bo`lsa, rombning tomonini toping.
(98–8–45).

126. To`g`ri burchakli uchburchakning burchaklaridan biri 60⁰ ga teng. Bu uchburchakka romb shunday ichki chizilganki, 60⁰ burchak umumiy, rombning qolgfan uchlari uchburchakning tomonlarida yotadi. Agar rombning tomoni ga teng bo`lsa, berilgan uchburchakning katta katetini toping. (98–1–45).

127. To`g`ri burchakli uchburchakka kvadart shunday ichki chizilganki, to`g`ri burchak ular uchun umumiy. Kvadratning bir uchi gipotenuzaning o`rtasida yotadi. Agar gipotenuzaning uzunligi ga teng bo`lsa, kvadratning perimetrini toping. (98–2–46).
A) 36 B) 48 C) 42 D) 28 E) 32
128. Teng yonli to`g`ri burchakli uchburchakning gipotenuzasi 45 ga teng. Unga to`g`ri tortburchak shunday ichki chizilganki, to`g`ri to`rtburchakning ikki uchi uchburchakning gipotenuzasida, q olgan ikki uchi katetlarida yotadi. Agar to`g`ri to`rtburchak tomonlarining nisbati 5:2 kabi bo`lsa, uning perimetrini toping. (99–4–40).
A) 50 B) 65 C) 70 D) 90 E) 75
129. Perimetri 14 ga teng bo`lgan ABCD romb berilgan. A<sub>1</sub>B<sub>1</sub>C<sub>1</sub>D<sub>1</sub> to`rtburchak ushbu rombning o`rtalarini tutashtiradi. A<sub>2</sub>B<sub>2</sub>C<sub>2</sub>D<sub>2</sub> to`rtburchak A₁B₁C₁D₁ to`rtburchakning o`rtalarini tutashtiradi. A₂B₂C₂D₂ to`rtburchakning perimetrini toping.
(97–9–104).
A) 7 B) 10 C) 8 D) 6 E) 9