Gomotetiya va o‘xshashlik — 9-sinf Geometriya test savollari

1.Koordinata boshiga nisbatan k = 3 gomotetiyada A(2;1) nuqtaning obrazini toping.

• A)(6;1)
• B)(5;4)
• C)(6;3)
• D)(2;1)

2.M(1;2) markazga nisbatan k = 2 gomotetiyada A(4;5) nuqtaning obrazini toping.

• A)(8;10)
• B)(3;3)
• C)(5;7)
• D)(7;8)

3.Koordinata boshiga nisbatan k = -2 gomotetiyada B(3;-1) nuqtaning obrazini toping.

• A)(-6;-2)
• B)(6;-2)
• C)(1,5;-0,5)
• D)(-6;2)

4.Koordinata boshiga nisbatan $k=\frac{1}{2}$ gomotetiyada C(8;-6) nuqtaning obrazini toping.

• A)(4;-3)
• B)(-4;-3)
• C)(16;-12)
• D)(4;3)

5.Uchburchak gomotetiya natijasida k = 4 koeffitsient bilan almashtirildi. Boshlang‘ich yuzi 5 sm² bo‘lsa, obrazining yuzini toping.

• A)80 sm²
• B)40 sm²
• C)25 sm²
• D)20 sm²

6.Gomotetiya koeffitsienti $k=\frac{1}{3}$. Boshlang‘ich kesma 18 sm bo‘lsa, uning obrazi qancha bo‘ladi?

• A)54 sm
• B)15 sm
• C)6 sm
• D)21 sm

7.Gomotetiya koeffitsienti k = 5. Uchburchak perimetri obrazda necha marta ortadi?

• A)5 marta
• B)25 marta
• C)2,5 marta
• D)10 marta

8.Gomotetiya markazi O, koeffitsienti k. Agar |k| > 1 bo‘lsa, shakl qanday o‘zgaradi?

• A)Kichrayadi
• B)O‘zgarmaydi
• C)Kattalashadi
• D)Aylanadi

9.Gomotetiya markazi O, koeffitsienti k. Agar 0 < k < 1 bo‘lsa, shakl qanday o‘zgaradi?

• A)Kichrayadi
• B)Simmetrik bo‘ladi
• C)Kattalashadi
• D)O‘zgarmaydi

10.k = -1 bo‘lgan gomotetiya qanday almashtirishga teng?

• A)Markaziy simmetriyaga
• B)Ayniy almashtirishga
• C)Burilishga
• D)Parallel ko‘chirishga