ASSIGNMENT FOR CLASS 9

1. ASSIGNMENT
Q1. If ina triangle ABC, A+ B = 105,B +  C = 120 then  B is:
(a) 65 (b) 80 (c) 35 (d) 45
Q2. A rt. angledisoscelestriangleABCisrightangledatA. Then  B is:
(a) 45 (b) 60 (c) 30 (d) 90
Q3. In triangle ABC, BC=AB.If B=70, then A is:
(A) 55 (B) 70 (C) 110 (D) 45
Q4. The angle whichishalf itssupplementis:
(A) 60 (B) 120 (C) 110 (D) 130
Q5. If r, s, t are the sidesof a triangle,thenwhichistrue ?
(A) r= s+t (B) r=s > t (C) r +s> t (D) t > r+s
Q6. InABC,AB=2.5 cm and BC =6 cm, thenthe lengthof ACcannot be :
(A) 3.4 cm (B) 4 cm (C) 3.8 cm (D) 3.6 cm
Q7. If one angle of a triangle is130, thenthe angle betweenthe bisectorsof the othertwoanglesis:
(A) 50 (B) 65 (C) 145 (D) 155
Q8. In a right angledtriangle,one acute angle isdoublethe other,then:
(A) Hypotenuse = double the smallestside (B) Hypotenuse= double the otherside
(C) One acute angle is40 (D)  isan isoscelestriangle.
Q9. The measure of an angle whichiscomplementof itself is:
(A) 60 (B) 30 (C) 45 (D) 20
Q10. Whichof the followingisnota criterionforcongruence of triangles:
(A) SAS (B) ASA (C) SSA (D) SSS
Q11. If one angle of a triangle isequal tothe sumof the othertwo angles,thenthe triangle is:
(A) Obtuse triangle (B) Equilateral triangle (C) Isoscelestriangle (D) Righttriangle
Q12. If the 3 altitudesof a triangle are equal,thentriangleis
(A) rightangledtriangle (B) Isoscelestriangle (C) acute angledtriangle (D) Equilateral triangle
Q13. Anexteriorangle of atriangle is130 and its twointerioroppositeanglesare equal.Eachof the interior
angle isequal to:
(a) 45 (b) 65 (c) 75 (d) 35
Q14. Ina rightangledtriangle,if one acute angle ishalf the other,thenthe smallest angle is:
(a) 15 (b) 25 (c) 30 (d) 35
Q15. In ∆PQR if PQ > QR then:
(A) R > P (B)  P=R (C) Q < R (D Q=R
Q16. In∆ABC, if A >  B >  C then:
(A) AB> AC (B) AC< BC (C) AB > BC (D) AC> BC
Q17. If a transversal intersectstwoparallellineandthe interioranglessoformedare inthe ratio2 : 3 ,
the greaterof the two anglesis:
(A) 54 (B) 108 (C) 120 (D) 36
Q18. InABC if A= 35 and  B =75, thenthe longestside of the triangle is
(A) AC (B) AB (C) BC (D) AB
Q19. IntrianglesABCand PQR,AB=AC,  C=P and B=Q. The twotriangles are :
(A) Isoscelesbutnotcongruent (B) Isoscelesandcongruent
(C) Congruentbutnot isosceles (D) neitherisoscelesnorcongruent
Q20. Ina  ABC, C=65 and B=35 andbisectorofBAC meetsBC inP,then:
(A) AP> BP > CP (B) BP> AP> CP (C) AP< BP < CP (D) BP< AP< CP
Q21. If in a triangle XYZ, Y > Z and XY= 13 cm, thenXZ is
(A) 8 cm (B) 9 cm (C) 13.5 cm (D) 13 cm
Q22. If in twotrianglesABCandDEF, AB =DE, BC= EF and AC =DF then ABC  DEF by congruencyrule
(A) RHS (B) SAS (C) SSS (D) ASA
Q23. ABC  FDE inwhichAB = 6 cm B = 40,  A = 80 and FD = 6 cm, thenEis :
(A) 50 (B) 80 (C) 40 (D) 60
Q24. IntrianglesABCand PRQ,AB=PR and A= P. The twotrianglesare congruentbySASaxiomif :
(A) BC=QR (B) AC=PQ (C) AC=QR (D) BC=PR

2. Q25. Inthe figure,sidesPQandPRare producedandif SQR < TRQ, then:
(A) PQ > QR (B) PQ = PR (C) PQ < PR (D) PQ> PR
Q26. Infig,if PS I l andRQ I l , Q27. Inthe givenfigure, BCDisequal to:
thenthe value of y is:
(A) 55 (B) 90 (A) 180 (B)  ACB+  ABC
(C) 80 (D) 135 (C)  ACB +BAC (D)  BAC + ABC
Q28. Inthe givenfigure,the valueof x which Q29. Infig.BC||DE. If ABC = CDE = 90
makesPOQ a straightline is: and ACB = 30 thenthe measure ofDCE is:
(A) 35 (B) 30 (A) 30 (B) 60
(C) 25 (D) 40 (C) 90 (D) 120
Q30. Inthe givenfigure,AB=ACandBD=CD. Q31. Inthe figure the measure of (a +b +c +d +e +f +g +h +i
+j) is:
The ratio ABD : ACD is :
(A) 1 : 1 (B) 1 : 2 (A) 900 (B) 720
(C) 2 : 1 (D) 2 : 3 (C) 540 (D) 360
Q32. If E isa pointonside QR of PQR such that Q33. Inthe figure,if B < A and  D > C, then
PE bisects QPR,then:
(A) QP > QE (B) QE =ER (A) AD >BC (B) AD= BC
(C) QE > QP (D) ER > RP (C) AD < BC (D) AD =2BC