Uchburchaklar o‘xshashligining birinchi alomati — 9-sinf Geometriya test savollari

1.Uchburchak ABC ichida DE $\parallel$ $BC$ (D — AB da, E — AC da), AD = 4 sm, DB = 6 sm, AC = 15 sm. AE ni toping.

• A)6 sm
• B)10 sm
• C)9 sm
• D)7,5 sm

2.Uchburchak ABC da D nuqta AB da, E nuqta AC da yotadi, burchak ADE = burchak ACB (umumiy burchak A bilan birga ikkinchi alomatni beradi). AD = 4 sm, AC = 6 sm, AE = 3 sm bo‘lsa, AB ni toping.

• A)2 sm
• B)9 sm
• C)4,5 sm
• D)8 sm

3.Uchburchak ABC va uchburchak A₁B₁C₁ da burchak A = burchak A₁ = 55°, burchak B = burchak B₁ = 70°. Bu uchburchaklar haqida qaysi xulosa to‘g‘ri?

• A)Ular o‘xshash, chunki ikkita burchagi teng
• B)Faqat perimetrlari teng bo‘lishi mumkin
• C)Ular teng (kongruent)
• D)O‘xshash emas

4.DE $\parallel$ $BC$, AD = 6 sm, DB = 4 sm, $BC$ = 15 sm bo‘lsa, DE ni toping.

• A)6 sm
• B)9 sm
• C)10 sm
• D)12 sm

5.Uchburchak ABC da AD — balandlik (D — $BC$ da), burchak B = 90° − burchak C bo‘lgani uchun uchburchak ABD ~ uchburchak CBA. Agar AB = 6 sm, $BC$ = 10 sm bo‘lsa, BD ni toping.

• A)3,6 sm
• B)10 sm
• C)4 sm
• D)6 sm

6.Ikkita uchburchakning ikkitadan burchagi mos ravishda teng bo‘lsa, ular haqida nima deyish mumkin?

• A)Uchburchaklar teng
• B)Uchburchaklar o‘xshash
• C)Tomonlari teng
• D)Yuzlari teng

7.Trapetsiya ABCD da AB $\parallel$ CD, diagonallari E nuqtada kesishadi. AB = 12 sm, CD = 8 sm, AE = 9 sm bo‘lsa, EC ni toping (uchburchak AEB ~ uchburchak CED).

• A)6 sm
• B)4 sm
• C)12 sm
• D)7,5 sm

8.DE $\parallel$ BC, AD/DB $=\frac{2}{3}$. Agar AC = 20 sm bo‘lsa, AE ni toping.

• A)12 sm
• B)8 sm
• C)10 sm
• D)6 sm

9.Uchburchak ABC da burchak C = 90°, CD — gipotenuzaga tushirilgan balandlik. Uchburchak ACD va uchburchak ABC o‘xshashligining sababi nima?

• A)Ikkalasida ham to‘g‘ri burchak va umumiy o‘tkir burchak bor
• B)Perimetrlari teng
• C)Tomonlari teng
• D)Yuzlari proporsional

10.DE $\parallel$ $BC$, AD = 5 sm, AB = 8 sm, AE = 6 sm bo‘lsa, EC ni toping.

• A)3,6 sm
• B)2,4 sm
• C)9,6 sm
• D)4 sm