Pifagor teoremasiga teskari teorema — 8-sinf Geometriya test savollari

1.Uchburchakning tomonlari a=5, b=11, c=12 bo'lsa, u to'g'ri burchakli uchburchak bo'ladimi?

• A)Yo'q, chunki 5²+11²=146 ≠ 12²=144
• B)Ha, chunki 5²+11²=12²
• C)Ha, chunki barcha tomonlari musbat
• D)Yo'q, chunki 5+11<12

2.Uchburchakning tomonlari a=√85, b=7, c=6 bo'lsa, u to'g'ri burchakli uchburchak bo'ladimi?

• A)Ha, chunki 7²+6²=(√85)²
• B)Yo'q, chunki 7²+6²≠(√85)²
• C)Ha, chunki barcha tomonlari musbat
• D)Aniqlab bo'lmaydi

3.Uchburchakning tomonlari 1,6 sm, 3 sm, 3,4 sm bo'lsa, u to'g'ri burchakli uchburchak bo'ladimi?

• A)Ha, chunki 1,6²+3²=3,4²
• B)Yo'q, chunki 1,6²+3²≠3,4²
• C)Ha, chunki tomonlar musbat son
• D)Aniqlab bo'lmaydi

4.Uchburchakning tomonlari 3 sm, 4 sm, 6 sm bo'lsa, u to'g'ri burchakli uchburchak bo'ladimi?

• A)Yo'q, chunki 3²+4²=25 ≠ 6²=36
• B)Ha, chunki 3²+4²=6²
• C)Ha, chunki tomonlar musbat son
• D)Aniqlab bo'lmaydi

5.Rombning diagonallari 10 sm va 24 sm ga teng. Rombning tomonini toping.

• A)13 sm
• B)17 sm
• C)34 sm
• D)12 sm

6.Rombning diagonallari 14 sm va 48 sm ga teng. Rombning perimetrini toping.

• A)100 sm
• B)62 sm
• C)25 sm
• D)50 sm

7.Pifagor teoremasiga teskari teoremaga ko'ra, uchburchak tomonlaridan birining kvadrati qolgan ikkitasi kvadratlari yig'indisiga teng bo'lsa, uchburchak qanday bo'ladi?

• A)to'g'ri burchakli
• B)o'tkir burchakli
• C)o'tmas burchakli
• D)teng yonli

8.To'g'ri burchakli uchburchakning istalgan kateti nimadan kichik bo'ladi?

• A)gipotenuzadan
• B)ikkinchi katetdan
• C)perimetrdan
• D)yarim perimetrdan

9.Rombning diagonallari 12 sm va 16 sm ga teng. Rombning tomonini toping.

• A)10 sm
• B)14 sm
• C)28 sm
• D)8 sm

10.Og'ma AB, unga tushirilgan perpendikular AC va proyeksiyasi $CB$ orasidagi Pifagor munosabati qanday ifodalanadi?

• A)AB² = AC² + $CB$²
• B)AC² = AB² + $CB$²
• C)$CB$² = AB² + AC²
• D)AB = AC + $CB$