O‘xshash uchburchaklar va ularning xossalari — 9-sinf Geometriya test savollari

1.O‘xshash ikkita uchburchakning o‘xshashlik koeffitsienti $\frac{2}{3}$(kichikdan kattaga). Kattasining medianasi 18 sm bo‘lsa, kichigining mos medianasini toping.

• A)9 sm
• B)18 sm
• C)12 sm
• D)27 sm

2.Uchburchaklar o‘xshash, tomonlari nisbati 4:7. Kichik uchburchakning yuzi 32 sm² bo‘lsa, katta uchburchak yuzini toping.

• A)98 sm²
• B)49 sm²
• C)56 sm²
• D)64 sm²

3.O‘xshash uchburchaklarning ichki chizilgan aylana radiuslari 3 sm va 5 sm. Ularning yuzlari nisbatini toping.

• A)$\frac{25}{6}$
• B)$\frac{25}{9}$
• C)$\frac{10}{3}$
• D)$\frac{5}{3}$

4.O‘xshash uchburchaklarning perimetrlari 20 sm va 35 sm. Birinchisining balandligi 8 sm bo‘lsa, ikkinchisining mos balandligini toping.

• A)14 sm
• B)8 sm
• C)10 sm
• D)17,5 sm

5.Ikki o‘xshash uchburchakning tomonlari mos ravishda 6 sm va 15 sm. Kichigining perimetri 24 sm bo‘lsa, kattasining perimetrini toping.

• A)60 sm
• B)40 sm
• C)90 sm
• D)15 sm

6.O‘xshash uchburchaklarning bissektrisalari nisbati 3:5. Ularning tomonlari nisbatini toping.

• A)3:5
• B)25:9
• C)9:25
• D)5:3

7.O‘xshash uchburchaklarning tashqi chizilgan aylana radiuslari 4 sm va 10 sm. Yuzlari nisbatini toping.

• A)$\frac{25}{16}$
• B)$\frac{5}{2}$
• C)$\frac{2}{5}$
• D)$\frac{25}{4}$

8.O‘xshash uchburchaklarning yuzlari 45 sm² va 80 sm². Tomonlari nisbatini toping (kichikdan kattaga).

• A)4:3
• B)9:16
• C)2:3
• D)3:4

9.O‘xshashlik koeffitsienti 5 bo‘lgan ikkita uchburchakdan kichigining yuzi 6 sm². Kattasining yuzini toping.

• A)180 sm²
• B)60 sm²
• C)30 sm²
• D)150 sm²

10.O‘xshash uchburchaklarning tomonlari nisbati 2:5. Perimetrlari yig‘indisi 84 sm bo‘lsa, kichik uchburchak perimetrini toping.

• A)12 sm
• B)60 sm
• C)36 sm
• D)24 sm