I. Burchaklar. Masofalar

2. Romb.

1. Rombning yuzi 18 ga, diagonallaridan biri 9 ga teng. Ikkinchi diagonalining uzunligi qancha?

A) 3,5 B) 5 C) 4,5 D) 4 E) 6
2. Rombning diagonallari 3: 4 kabi nisbatda, yuzi esa 384 ga teng. Uning tomonini toping.
A) 18 B) 20 C) 24 D) 28 E) 30
3. Rombning diagonali tomoni bilan 25º li burchak tashkil qiladi. Rombning katta burchagini toping.
A) 165º B) 150º C) 130º D) 120º E) 115º
4. Rombning tomonlari a ga, o‘tmas burchagi ga teng. Rombning yuzini hisoblash uchun quyidagi keltirilgan ifodalardan qaysi biri to‘g‘ri?
A) B) C) D) E)
5. Rombning yuzi 24 ga, diagonallaridan biri 6 ga teng. Uning tomonini toping.
A) 10 B) 5 C) 8 D) 4,8 E) 6
6. Rombning ga teng bo‘lgan balandligi tomonini teng ikkiga bo‘ladi. Rombning perimetrini toping,
A) V) 24 C) 36 D) Ye) 48
7. Rombning tomoni 10 ga, diagonallarining nisbati 4:3 ga teng. Rombning yuzini toping.
A) 192 B) 96 C) 24 D) 60 Ye) 48
8. Ikkita burchagi yig‘indisi 100° ga teng bo‘lgan parallelogrammning katta burchagini toping.
A) 100° B) 110° C) 120° D) 130° Ye) 150°
9. Perimetri 14 ga teng bo‘lgan AVSD romb berilgan. A₁V₁S₁D₁ to‘rtburchak ushbu rombning o‘rtalarini tutashtiradi. A₂V₂S₂D₂ to‘rtburchak A₁V₁S₁D₁ to‘rtburchakning o‘rtalarini tutashtiradi. A₂V₂S₂D₂ to‘rtburchakning perimetrini toping.
A) 7 V) 10 S) 8 D) 6 Ye) 9
10. Ikkita o‘xshash romblar tomonlarining nisbati 3 ga teng. Ularning yuzlarini nisbatini hisoblang.
A) 7 B) 8 C) 10 D) 11 Ye) 9
11. Agar rombning bir diagonalini 10% uzaytirib, ikkinchi diagonalini 15% qisqartirilsa, rombning yuzi qanday o‘zgaradi?
A) 5% ortadi B) o‘zgarmaydi C) 6,5% kamayadi D) 5,65% kamayadi Ye) 6,5% ortadi
12. Tomoni ga, diagonallaridan biri 4 ga teng bo‘lgan rombning yuzini toping.
A) 20 B) C) 16 D) 32 E)
13. Romb diagonallarining tomonlari bilan hosil qilgan burchaklari kattaliklarining nisbati 2:7 ga teng. Rombning kichik burchagini toping.
A) 20º B) 30º C) 40º D) 60º E) 70º
14. To‘g‘ri burchakli uchburchakning burchaklaridan biri 60° ga teng. Bu uchburchakka romb shunday ichki chizilganki, 60° li burchak umumiy, rombning qolgan uchlari uchburchakning tomonlarida yotadi. Agar rombning tomoni ga teng bo‘lsa, berilgan uchburchakning katta katetini toping.
A) 1,8 B) 2,4 C) D) E) 2,2
15. Rombning balandligi 8 ga, diagonallarining ko‘paytmasi 80 ga teng. Uning perimetrini toping.
A) 32 B) 16 C) 24 D) 28 Ye) 20
16. Perimetri 2p ga, diagonallarining yig‘indisi m ga teng bo‘lgan rombning yuzini toping.
A) B) C) D) E)
17. Rombning uchidan tushirilgan balandligi uning tomonini, o‘tkir burchagi uchidan boshlab hisoblaganda, 3 va 2 ga teng kesmalarga bo‘ladi. Rombning yuzini toping.
A) 10 B) 20 C) 15 D) 18 Ye) 24
18. 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.
A) B) 0,2 C) 0,4 D) Ye) 0,1
19. Rombning tomoni 6 ga, o‘tkir burchagi 30° ga teng. Uning diagonallari ko‘paytmasini toping.
A) 27 B) 18 C) 42 D) 36 Ye) 28
20. Rombning tomoni 4 ga, yuzi 9 ga teng. Rombning diagonallari yig‘indisini toping.
A) 12 V) 11 S) 10 D) 9,5 Ye) 11,5
21. Rombning kichik diagonali ga, yuzi 1,5 ga teng. Uning o‘tmas burchagini toping.
A) 150º B) 120º C) 135º D) 110º E) 140º
22. Rombning yuzi 16, perimetri 12 ga teng. Uning diagonallari yig‘indisini toping.
A) 8 B) 12 C) 11 D) 10 E) 9
23. Rombning o‘tmas burchagi 120º ga, katta diagonali ga teng. Rombning yuzini hisoblang.
A) B) C) D) E)
24. Rombning tomoni 5 ga, diagonallaridan biri 6 ga teng. Rombning yuzini toping.
A) 24 V) 28 S) 30 D) 20 Ye) 22
25. Agar rombning tomoni 10 ga , burchaklaridan biri esa 150º ga teng bo‘lsa, uning yuzi qanchaga bo‘ladi?
A) 100 B) 80 C) 90 D) 50 E) 60
26. Rombning katta burchagi 120º ga, kichik diagonali ga teng.
A) 54 B) 102 C) 84 D) 48 E) 96
27. ABCD rombda A = 31º. diagonallari O nuqtada kesishadi. VOS uchburchakning burchaklarini toping.
A) 15,5º; 90º; 74,5º B) 31º; 90º; 59º C) 15,5º; 89,5º; 75 D) 31º; 89º; 60º E) 15º; 90º; 75
28. Rombning tomoni 10 ga teng. Agar uning balandligi 4 ga uzaytirilsa, yuzi 50% ga ortadi. Rombning yuzini toping.
A) 40 V) 60 S) 80 D) 100 Ye) 50
29. Diagonali 16 va 12 ga teng bo‘lgan rombning o‘tkir burchagi tangensini toping.
A) B) C) D) E)
30. Tomoni 10 ga va kichik diagonali 12 ga teng bo‘lgan rombning yuzini toping.
A) 102 B) 94 C) 98 D) 104 E) 96
31. Romb tomonining uning diagonallari bilan tashkil qilgan burchaklari nisbati 5:4 kabi. Rombning o‘tmas burchagini toping.
A) 100° V) 120° S) 96° D) 120° Ye) 140°
32. Diagonallari 32 va 24 ga teng bo‘lgan rombning o‘tmas burchagi kotangensini toping.
A) B) C) D) E)
33. Rombning tomoni 10 ga, kichik diagonali 12 ga teng. Rombning yuzini toping.
A) 98 V) 96 S) 94 D) 102 Ye) 92
34. Rombning yuzi 12 ga, diagonallarining nisbati 1:2 ga teng. Romb tomonining uzunligini toping.
A) 4 V) S) D) 6 Ye) 2
35. Rombning perimetri 24 ga teng bo‘lib, diagonallaridan biri uning tomoni bilan 75° li burchak tashkil etadi. Rombning qarama-qarshi tomonlari orasidagi masofani toping.
A) 3 V) 4 S) 3,2 D) 3,5 E) 3,6
36. Rombning yuzi 24 ga, diagonallarining nisbati 0,75 ga teng. Shu rombning tomonini toping.
A) 7 B) 4 C) 5 D) 10 E) 9
37. ABCD rombning diagonallari 5 va 12 ga teng. Katta diagonali AS da N nuqta olingan va AN:NC = 4 : 1. AND uchburchakning yuzini toping.
A) 11 B) 12 C) 12,5 D) 13 E) 13,25
38. Rombning burchaklaridan biri boshqasidan uchch marta katta, perimetri esa 20 ga teng. Rombning yuzini toping.
A) 12 V) 12,5 S) 10,5 D) 8 Ye) 7,5
39. Rombning perimetri 52 ga, diagonallarining yig‘indisi 34 ga teng. Rombning yuzini toping.
A) 30 V) 128 S) 32 D) 120 Ye) 24