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NUVOCO PUBLIC SCHOOL,, , GOPALNAGAR, , SESSION 2021 ~ 2022, , CLASS TEST- X, , TOPIC- TRIANGLE, Q1.In ABC, DE | | AB. If CD = 3.cm, EC = 4.cm, BE = 6 cm, then DA is equal to, (a) 7.5m, (b) 3m, (c)4.5 em, (d)6cm, , 2. Ois a point on side PQ of a APQR such that PO = QO = RO, then, (a) RS? = PRx QR, , (b) PR? + QR? = PQ?, , (c) QR? = QO? + RO?, , (d) PO? + RO? = PR?, , 3. Triangle ABC is an equilateral A of side a. Its arca will be, , (a) 3,2 3,, 4 4, 3 3, © Sa Sa, 4. In a square of side 10 cm, its diagonal =, (a) 15cm, (b) 10V2 cm, (c) 20cm, (d) 12cm, , 5. Inarectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal =, (a) 9 cm, , (b) 14cm, , (c) 10cm, , (d) 12cm, , 6. In a rhombus if di = 16 cm, d2 = 12 cm, its area will be..., (a) 16 x 12 cm?, , (b) 96 cm?, , (c) 8 x 6 cm?, , (d) 144 cm?, , 7. In a rhombus if dj = 16 cm, d: = 12 cm, then the length of the side of the rhombus is, (a) 8 cm, , (b) 9 cm, , (c) 10cm, , (d) 12 cm

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8. If in two As ABC and DEF, 42. - BC | then, DF FE, , (a) AABC ~ ADFF, , (b) AABC ~ AEDF, , (c) AABC ~ AFFD, , (d) AABC ~ ADFE, , 9. 10. In ZBAC = 90° and AD 1 BC. A Then, , A, , D, , (a) BD.CD = BC?, (6) AB.AC = BC?, (c) BD.CD = AD?, (d) AB.AC = AD?, , 10 D and E are respectively the points on the sides AB and AC of a triangle ABC such that, AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is, , (a) 2.5, , (b) 3, , (c)5, , (d)6, , 11. If AABC ~ ADEF and AABC is not similar to ADEF then which of the following 1s not, true?, , (a) BC_LEF = AC.FD, , (b) AB.ED = AC_DE, , (c) BC.DE = AB.EE, , (d) BC.DE = AB,FD, , 12. If in triangles ABC and DEF, ae = BC , then they will be similar, if, DE FD, , (a) 2B= ZE, , (b) 2A= 2D, , {c) Z2B=2D, , (d) ZA = 2F, , 13. Dand E are the midpoints of side AB and AC of a triangle ABC, respectively and, BC = 6 cm. If DE || BC, then the length (in em) of DE is:, , (a) 2.5, , (b)3, , (c) 5, , (d)6

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14. Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the, ratio, , (a) 2:3, , (b) 4:9, , (c) 81: 16, , (d) 16:8, , 15. 2. In triangle ABC, ZBAC = 90° and AD 1 BC. Then, , (A) BD .CD = BC?, , (B) AB. AC = BC’, , (C) BD .CD = AD?, , (D) AB. AC = AD?, , 16. Which of the following is not a similarity criterion for two triangles?, (a) AAA, , (b) SAS, , (c) SSS, , (d) ASA, , 17. The ratio of the areas of two similar triangles is equal to, , (a) square of the ratio of their corresponding sides, , (b) cube of the ratio of their corresponding sides, , (c) square root of the ratio of their corresponding sides, , (d) twice the ratio of their corresponding sides, , 18.In AABC, AB =6\3 cm, AC = 12 cm and BC =6 cm. The angle B is, (a) 120°, , (b) 60°, , (c) 90°, , (d) 45°, , 19. It is given that AABC ~ ADFE, 2A = 30°, 2C = 50°, AB=5 cm, AC=8 cmand DF =7.5, cm. Then, the following is true:, , (a) DE = 12 cm, 2F = 50°, , (b) DE = 12 cm, ZF = 100°, , (c) FF = 12 em, 2D = 100°, , (d) EF = 12 cm, 2D = 30°, , 20. It is given that AABC ~ APQR, with BC/QR = 1/4 then, ar(APRQ)/ar(ABC) is equal, to, , (a) 16, , (b)4, , (c) Li4, , (d) 1/16