Ko‘pburchaklarning o‘xshashligi — 9-sinf Geometriya test savollari

1.Ikkita o‘xshash to‘rtburchakning yuzlari 18 sm² va 50 sm². Kichigidan kattasiga qarab o‘xshashlik koeffitsientini toping.

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

2.O‘xshash beshburchaklarning perimetrlari 24 sm va 36 sm. Kichik beshburchakning bir tomoni 5 sm bo‘lsa, katta beshburchakdagi mos tomonni toping.

• A)3,33 sm
• B)5 sm
• C)7,5 sm
• D)10 sm

3.O‘xshash ko‘pburchaklarning o‘xshashlik koeffitsienti $\frac{2}{5}$(kichikdan kattaga). Kattasining yuzi 200 sm² bo‘lsa, kichigining yuzini toping.

• A)32 sm²
• B)80 sm²
• C)500 sm²
• D)128 sm²

4.O‘xshash uchburchaklarning tomonlari mos ravishda 3, 4, 5 va 6, 8, x. x ni toping.

• A)10
• B)7,5
• C)8
• D)12

5.To‘rtburchak ABCD ~ A′B′C′D′, AB = 6 sm, A′B′ = 9 sm. Agar $BC$ = 8 sm bo‘lsa, B′C′ ni toping.

• A)10,67 sm
• B)8 sm
• C)5,33 sm
• D)12 sm

6.O‘xshash oltiburchaklarning yuzlari nisbati 4:9. Ularning tomonlari nisbatini toping.

• A)2:3
• B)16:81
• C)4:9
• D)3:2

7.Ikkita o‘xshash uchburchakning perimetrlari 15 sm va 25 sm. Birinchisining yuzi 27 sm² bo‘lsa, ikkinchisining yuzini toping.

• A)75 sm²
• B)135 sm²
• C)25 sm²
• D)45 sm²

8.O‘xshash uchburchaklarning o‘xshashlik koeffitsienti 3 (kichikdan kattaga). Kichik uchburchakning balandligi 4 sm bo‘lsa, katta uchburchakning mos balandligini toping.

• A)12 sm
• B)16 sm
• C)7 sm
• D)1,33 sm

9.O‘xshash beshburchaklarning bir juft mos tomonlari 4 sm va 10 sm. Boshqa juft mos tomonlaridan biri 6 sm bo‘lsa, ikkinchisini toping.

• A)9 sm
• B)12 sm
• C)15 sm
• D)2,4 sm

10.O‘xshash to‘rtburchaklarning yuzlari 16 sm² va 81 sm². Kichigidan kattasiga o‘xshashlik koeffitsientini toping.

• A)$\frac{16}{81}$
• B)$\frac{9}{4}$
• C)$\frac{4}{9}$
• D)$\frac{2}{3}$