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Assignment Sem1 ch10 01. In a quadrilateral, the diagonals are congruent and bisect each other at right angles. Then, that quadrilateral is a … (A) Rectangle (B) Rhombus (C) Square (D) Trapezium 02. In a quadrilateral all the four angles are congruent, but all the four sides are not congruent. Then, that quadrilateral is a … (A) Trapezium (B) Rectangle (C) Square (D) Rhombus 03. The perimeter of rectangle ABCD is 20 cm. If AB : BC = 2 : 3 then AD = ………….. cm. (A) 12 (B) 2 (C) 6 (D) 4 04. In ABC, P is the midpoint of AB and Q is the midpoint of AC . Then, PQCB is a ……… (A) Rectangle (B) Rhombus (C) Trapezium (D) Parallelogram 05. In ABC, D, E and F are the midpoint of of ABC is ………. cm (A) 45 (B) 15 (C) 30 (D) 60 AB, BC and CA respectively. If the perimeter of 06. ABCD is a rhombus. If AC = 10 cm and BD = 24 cm, the perimeter of (A) 48 (B) 52 (C) 13 (D) 26 DEF is 30 cm, then the perimeter ABCD is ……….. cm. 07. ABCD is a rectangle. If AB = 5 cm and BC = 12 cm, then BD = ……… cm. (A) 13 (B) 17 (C) 1 (D) 8.5 08. ABC is an equilateral triangle. D, E and F are the midpoints of AB, BC and CA respectively. If the AB = 8 cm, the perimeter of DEF is ………….. cm. (A) 24 (B) 12 (C) 48 (D) 6 09. ABCD is a trapezium. AD || BC and P and Q are the midpoints of AB and CD respectively. If AD = 10 cm and BC = 18 cm, then PQ = …………. cm. (A) 14 (B) 28 (C) 7 (D) 56 10. In mABCD, the bisectors of A and (A) 20 (B) 45 (C) 90 (D) 70 B intersect at M. If m A = 40, then m ABM = ………… 11. In trapezium PQRS, PS|| QR . If m S = 100, then m R = … (A) 50 (B) 100 (C) 150 (D) 80 12. In mABCD, m A = 75 and m DBC = 60. Then, m ABD = … (A) 45 (B) 90 (C) 30 (D) 40 13. In ⭦mABCD if m B - m C = 40 then m A = … (A) 35 (B) 55 (C) 70 (D) 110 14. If the diagonals of quadrilateral are not congruent and bisect each other at right angles then the quadrilateral is … (A) Square (B) Rectangle (C) Rhombus (D) parallelogram 15. All the four sides of a quadrilateral are congruent but all the four angles are not congruent. Then the quadrilateral is … (A) rectangle (B) rhombus (C) square (D) parallelogram 16. The perimeter of (A) 12 (B) 16 ABCD is 32 cm. if AB = 10 cm, then AD = ………… cm. (C) 6 (D) 8 m 17. In trapezium PQRS, PS|| QR and E and F are the midpoints of P Q and RS respectively. If EF = 10 cm and PS = 8 cm, then QR = ………… cm (A) 24 (B) 2 (C) 12 (D) 18 18. All the four angles of a quadrilateral are congruent but all the four sides are not congruent. Then the quadrilateral is a … (A) Rectangle (B) Rhombus (C) Square (D) Trapezium 19. In rhombus PQRS if the diagonals PR = 8 and QS = 6 then perimeter of rhombus is ………….. (A) 10 (B) 40 (C) 5 (D) 20 20. P and Q are midpoints of AB and AC of ABC. Then ⭦PBCQ is a … (A) Square (B) Trapezium (C) Rhombus (D) Rectangle 21. ⭦PQRS is a square. If PQ = 5 then QS = … (A) 10 (B) 15 (C) 50 (D) 5 2 22. Perimeter of rhombus PQRS is 96. Then PQ is … (A) 24 (B) 12 (C) 48 (D) 6 23. In ABC, m B = 90, D and E are the midpoints of AB and AC . If AB = 13 then DE = … (A) 6 (B) 2.5 (C) 5 (D) 6.5 24. Perimeter of the square ABCD is 16 then AC = … (A) 8 (B) 3 2 (C) 4 2 (D) 4 25. In ⭦mPQRS, m P - Q = 50 then m Q = …… (A) 115 (B) 65 (C) 100 (D) 85 26. In ⭦ABCD, A = 2 m B then m C = …… (A) 60 (B) 120 (C) 100 (D) 50 27. In PQR, A, B, C are midpoints of PQ, QR , RP respectively. If AB : BC : CA = 2 : 3 : 5 and QR = 20 then perimeter of PQR = … (A) 20 (B) 50 (C) 30 (D) 40 28. In ABC, E, F, G are midpoints of AB, BC , AC respectively. If EF + EG = 14 and AB = 7 then perimeter of ABC = … (A) 15 (B) 45 (C) 35 (D) 25 29. In a trapezium ⭦PQRS, PQ || SR , PQ > SR. X and Y are midpoints of SP and QR respectively. If XY = 7.5, and PQ = 12 then RS = … (A) 9 (B) 6 (C) 12 (D) 3 30. In trapezium ⭦ABCD AB || CD , AB > DC. P and Q are midpoints of AD and BC respectively. If AB = 15, CD = 7 then XY = … (A) 11 (B) 7 (C) 13 (D) 9 31. In ABC, D, E, F are the midpoints of AB, BC, CA respectively. If AB = 9, BC = 12, CA = 18 then the perimeter of ⭦DBCF = … (A) 30 (B) 39 (C) 31.5 (D) 19.5 32. The perimeter of XYZ is 25. P, Q, R the midpoints of XY, YZ , ZX respectively then perimeter of (A) 6.25 (B) 12.5 (C) 37.5 (D) 50 PQR = … 33. In a ABC, the points of E and F are the midpoints of AB and AC . If EF = 6.5 then BC = … (A) 13 (B) 19.5 (C) 26 (D) 3.25 34. In a trapezium PQRS, PQ|| SR and PQ > SR. X and Y are midpoint of SP and RQ respectively. If SR = 12 XY = 14.5 then PQ =… (A) 19 (B) 29 (C) 15 (D) 17 35. In a ⭦mPQRS the bisector of P and Q intersect at X. If m P = 70 then m PXQ = … (A) 90 (B) 35 (C) 45 (D) 55 36. ⭦PQRS is rectangle. Its diagonals intersect each other at 0 and m POS = 120. (A) 60 (B) 20 (C) 70 (D) 40 mÐQPO = … 37. ⭦DEFG is a rhombus. If DF = 30 and EG = 16 then perimeter of ⭦DEFG = … (A) 72 (B) 68 (C) 76 (D) 64 38. ⭦PQRS is a rhombus. If m QRS = 60 and QS is 15 cm then perimeter of ⭦PQRS = …………. cm. (A) 90 (B) 60 (C) 120 (D) 86 39. ⭦XYZW is a rectangle. XY + YZ = 7, XZ + YW = 10. XY = … (A) 2 (B) 6 (C) 5 (D) 4 40. A vertex oa a quadrilateral is … (A) Intersection of adjacent angles of the quadrilateral. (B) Intersection of opposite sides of the quadrilateral. Intersection of opposite angles of the quadrilateral. (D) Intersection of adjacent sides of the quadrilateral. 41. A quadrilateral has …………. parts. (A) Four (B) Eight (C) Six (D) Ten 42. ……. are opposite sides of (A) AB and BD (B) ABCD. CD and AB (C) AC and BD 43. A quadrilateral has ………. pair/s of opposite angles. (A) Three (B) One (C) Four (D) Two 44. A quadrilateral has ………. Pair/s of opposite sides. (A) One (B) Three (C) Four (D) Two 45. A quadrilateral has ………. pair/s of adjacent sides. (A) Three (B) One (C) Four (D) Two (D) AB and DA (C) 46. ABCD and ……… represent the same quadrilateral. (A) ACBD (B) DACB (C) DABC (D) ABDC 47. In a quadrilateral, the intersection of ……… is always an empty set. (A) Adjacent sides (B) Opposite sites (C) Diagonals (D) Opposite angles 48. ……….. is not a subset of (A) CD (B) AB (C) AC ABCD. (D) BC 49. The vertex A of ABCD is the common end point of ……. side/s of the quadrilateral. (A) Two (B) Four (C) One (D) Three 50. Every rectangle is a … (A) Parallelogram (B) Square (C) Trapezium 51. Every rhombus is a … (A) Rectangle (B) Trapezium (C) Square (D) Rhombus (D) Parallelogram 52. ABCD is a rhombus. If AC BD M , then m AMB = … (A) 90 (B) 45 (C) 60 (D) 30 53. ABCD is a rhombus. If the perimeter of (A) 8 (B) 12 (C) 16 (D) 24 ABCD is 48 cm, then AB = ……….. cm. 54. perimeter of ⭦PQRS is = …… (A) 18 (B) 30 (C) 24 (D) 24 55. ⭦ABCD is a rhombus. If AC intersects BD at M, then m AMB is … (A) 90 (B) 60 (C) 30 (D) 45 56. P ……………. ⭦PQRS. (A) (B) (C) (D) 57. In a trapezium ABCD, AD|| CD and AD < BC. E and F are midpoints of AB and CD . AC EF P if EP = 7 then AD = … (A) 20 (B) 6 (C) 8.5 (D) 14 58. Intersection of two adjacent angles of a quadrilateral is … (A) A side of the quadrilateral. (B) A diagonal of the quadrilateral. (C) A ray of the quadrilateral. (D) A vertex of the quadrilateral. 59. The plane containing a quadrilateral is divided into ………. mutually disjoint sets. (A) 5 (B) 4 (C) 3 (D) 2 60. P Q ………….. ⭦PQRS. (A) (B) (C) (D) 61. In a trapezium ⭦PQRS, PS|| QR , m P : m Q = 7 : 3 then m P = … (A) 54 (B) 99 (C) 81 (D) 126 62. The statement ……… is false. (A) Every square is a rectangle. (B) Every rectangle is a square. (C) Every square is rhombus. (D) Every rectangle is a parallelogram. 63. The statement ……… is true. (A) Every rhombus is a square. (B) Every allelogram is a rhombus. (C) Every square is a rhombus. (D) Every rectangle is a trapezium. 64. ⭦XYZW is a rectangle. XY + YZ = 7, XZ + YW = 10. XY = … (A) 4 (B) 6 (C) 5 (D) 2 65. In rhombus ABCD if AC = 10, CM and BD = 24 cm then perimeter of ⭦ABCD = … (A) 52 (B) 96 (C) 28 (D) 20 66. Diagonals of a ………….. are congruent and perpendicular to each other. (A) Rhombus (B) Trapezium (C) Rectangle (D) Square 67. If diagonals of the rhombus ABCD intersect at O then m AOB = … (A) 60 (B) 30 (C) 45 (D) 90 68. All the sides of a …………. are congruent. (A) Parallelogram (B) Trapezium (C) Rectangle (D) Rhombus 69. Every trapezium is a …… (A) Rhombus (B) Reactangle (D) Convex quadrilatera (C) Parallelogram 70. A quadrilateral with all the angles right angles and all the sides congruent is a … (A) Rhombus (B) Trapezium (C) Rectangle (D) Square 71. All the angles of a ……….. are congruent. (A) Rectangle (B) Trapezium (C) Rhombus (D) Parallelogram 72. ABCD is a square, If AB = 4 cm, then the perimeter of (A) 16 (B) 8 (C) 12 (D) 4 ABCD = ……….. cm. 73. The quadrilateral obtained by joining in order the midpoints of the sides of a convex quadrilateral is a … (A) Rectangle (B) Square (C) Rhombus (D) Parallelogram 74. In ABC, E and F are the midpoints of AB and AC respectively. If EF = 4 cm, then BC = ………… cm. (A) 2 (B) 4 (C) 12 (D) 8 75. A figure is formed by joining in order the midpoints of the sides of a quadrilateral. It is a … (A) Rectangle (B) Square (C) Parallelogram (D) Rhombus 76. The statement ………….. is false. (A) AB and CD are opposite sides of ⭦ABCD. (B) A and is a diagonal of ⭦ABCD. (C) AC (D) The angle of quadrilateral is a subset of the quadrilateral B are adjacent angles of ⭦ABCD. 77. In ABC, P and Q are midpoints of AB and AC . If R and S midpoints of AD and AQ and BC = 16 then RS = … (A) 2 (B) 6 (C) 4 (D) 8 78. In ⭦ABCD, the measures of the angles (A) 120 (B) 24 (C) 48 (D) 96 A, B, C, D are in proportion 2 : 4 : 5 : 4 then m B = …… 79. and DE are opposite sides while AD and AB are adjacent sides of … (A) □BCAD (B) ADCB (C) □ACBD (D) ADBC AD 80. The intersection of (A) BC (B) B, C B and C of (C) 81. In ABCD, the intersection of (A) BD (B) B, D (C) (D) ABCD is … B B and D is … (D) A, C 82. The intersection of opposite angles of a quadrilateral contains ……… vertex/vertices of the quadrilateral. (A) Three (B) One (C) Two (D) Four 83. The quadrilateral obtained by joining in order the midpoint of the sides of a rhombus is a … (A) Rectangle (B) Parallelogram (C) Square (D) Rhombus 84. In a rectangle all the angles are … (A) Right angles (B) Obtuse (C) Not congruent (D) Acute 85. In ⭦mABCD, m A = 75 m DBC = 60 then m CDB = … (A) 60 (B) 75 (C) 45 (D) 105 86. If any angle of a parallelogram is a right angle, then the parallelogram is a … (A) Trapezium (B) Rhombus (C) Square (D) Rectangle 87. A quadrilateral with both the pairs of opposite sides parallel and all the right angle is a … (A) Rhombus (B) Square (C) Rectangle (D) Trapezium 88. ⭦mPQRS is not formed if … (A) PQ RS, QR PS (B) PR QS and PR || QS (D) m P = m R and m Q = m S (C) PR QS and bisect each other 89. In ⭦mPQRS, M is the foot of perpendicular from S to P Q . If m PSM = 30 then m P = … (A) 50 or 130 (B) 60 or 120 (C) 30 or 150 (D) 45 or 135 90. If the diagonals of a parallelogram are congruent and intersect at right angles, then the parallelogram is a … (A) Kite (B) Rectangle (C) Rhombus (D) Square 91. If in a quadrilateral, only one pair of opposite sides is parallel to each other then the quadrilateral is … (A) A square (B) A trapezium (C) A rhombus (D) A kite 92. A quadrilateral, in which the sides in only one pair of opposite sides are parallel, is a … (A) Parallelogram (B) Concave quadrilateral (C) Rhombus (D) Trapezium 93. In PQRS, m P = 5x, m Q = 3x, m R = 4x and m S = 6x. Then, the measure of greatest angle of (A) 100 (B) 60 (C) 120 (D) 80 PQRS is … 94. The vertex A of ABCD lies on …... angle/s of the quadrilateral. (A) Two (B) One (C) Four (D) Three 95. ………. is not subset (A) Q (B) RS PQRS. (C) P S (D) QR 96. The sum of measures of all the angles of a quadrilateral is … (A) 60 (B) 90 (C) 180 (D) 360 97. The ratio of four angles in order of a quadrilateral is 2 : 4 : 5 : 4. Then, the measure of the smallest angle of the quadrilateral is … (A) 120 (B) 96 (C) 48 (D) 60 98. In ABCD, m A = m B = m C = 100. Then, m D = … (A) 150 (B) 60 (C) 100 (D) 50 99. If in ⭦PQRS, m P = 2x, m Q = 3x, m R = 4x and m S = 6x then m Q = …….. (A) 144 (B) 24 (C) 72 (D) 48 100. The perimeter of the rectangle PQRS is 70 cm. If PQ : QR = 3 : 4 then QR = ……… cm. (A) 28 (B) 20 (C) 40 (D) 24 101. In ⭦mPQRS, M is the foot of perpendicular from S to (A) 50 or 130 (B) 30 or 150 (C) 45 or 135 (D) 60 or 120 PQ . If m PSM = 30 then m P = … 102. In ABCD, m A = m B = m C = 100. Then, m D = … (A) 50 (B) 150 (C) 60 (D) 100 103. A quadrilateral, in which the sides in both the pairs of opposite sides are parallel, is a … (A) Parallel ogram (B) TrapeziumKite (C) Concave (D) qquadrilateral 104. ........... is not a side of (A) P R (B) RS PQRS. (C) P Q (D) QR 105. The perimeter of rectangle ABCD is 36, and AB : BC = 4 :5 then the length of BC = … (A) 10 (B) 8 (C) 16 (D) 9 106. In ABC, D, E, F are the midpoints of AB, BC, CA respectively. If the perimeter of (A) 6 (B) 48 (C) 24 (D) 36 DEF is. Then perimeter of ABC = … 107. In trapezium ABCD, AD || BC , BC > AD. Points P and Q are midpoints of AB and CD . If AD = 6 and BC = 8 then PQ = … (A) 14 (B) 7 (C) 4 (D) 3 108. In trapezium PQRS, PS|| BC , QR > PS and points M and N are midpoints of P Q and SR . If QR = 16 and MN = 14 then P S = … (A) 9 (B) 4 (C) 12 (D) 44 109. In ⭦mPQRS the bisectors of P and Q intersect at X. If m P = 70, then m PXQ is … (A) 35 (B) 110 (C) 55 (D) 90 110. ABCD is a square. If AC = 6 cm, then AB = ……….. cm. (A) 6 2 (B) 3 (C) 3 2 (D) 6 111. In ⭦mABCD, m A : m B = 1 : 3 then m C = … (A) 45 (B) 135 (C) 90 (D) 120 112. In ⭦mABCD if m A : m B = 2 : 3 then m D = … (A) 60 (B) 72 (C) 108 (D) 90 113. In (A) 50 ABCD, m B + m D = 130. Then, m A = … (B) 130 (C) 65 (D) 115 m 114. In mABCD, Then ratio m A : m B : m C : m D can be … (A) 2 : 3 : 2 : 3 (B) 3 : 4 : 5 : 6 (C) 2 : 3 : 5 : 8 (D) 2 : 3 : 3 : 2 ABCD, 3m A = 2m B. Then, m D = …… (B) 60 (C) 120 (D) 72 115. In (A) 108 m 116. In (A) 70 m 117. In (A) 120 m ABCD, m A : m B = 7:11. Then, m C = … (B) 100 (C) 110 (D) 90 ABCD, m A = 80. Then, m D = ………. . (B) 160 (C) 80 (D) 100 118. The diagonals of a quadrilateral are congruent and bisect each other but not at right angles. Then, that quadrilateral is a ……….. (A) Rhombus (B) Parallelogram (C) Square (D) Rectangle 119. In a quadrilateral, the diagonals are congruent and bisect each other at right angles but they are not congruent. Then that quadrilateral is a ………… (A) Rectangle (B) Rhombus (C) Trapezium (D) Square 120. In a quadrilateral, al the four sides are congruent, but all the four angles are not congruent. Then, that quadrilateral is a ……… (A) Rhombus (B) Parallelogram (C) Rectangle (D) Square 121. In trapezium PQRS PQ|| RS . If m P = 150, then m S = ………… (A) 75 (B) 60 (C) 150 (D) 30 122. In (A) 150 ABCD. m A - m B = 30. Then, m C = ………….. . (B) 60 (C) 105 (D) 75 m 123. PQRS is a rhombus. If PQ + 6 cm, then the perimeter of (A) 12 (B) 24 (C) 6 (D) 18 PQRS is …………. CM 124. ABCD is a rectangle. If AB = 8 cm and AC = 10 cm, then BD = ……….. cm. (A) 8 (B) 10 (C) 6 (D) 4 125. For rhombus ABCD ………. is not true. (A) AC BD 126. In (B) AB AD (C) AC BD (D) AB BC ABCD, m A + m B + 150. Then, m C + m D + …………. (A) 210 127. In (A) 48 (B) 105 (C) 150 (D) 300 m PQRS.PQ = 5 cm and QR = 7cm. then the perimeter of (B) 24 (C) 12 (D) 18 PQRS is ………. cm m 128. The perimeter of mABCD is 12 cm. If AB = 4 cm, then BC = ………. cm. (A) 7 (B) 5.5 (C) 6 (D) 4 129. In (A) 90 m ABCD, the bisectors of A and (B) 80 (C) 50 (D) 40 B intersect at M. If m A = 80, Then m AMB = ……………. Answer Sheet 01 : A B C D 02 : A B C D 03 : A B C D 04 : A B C D 05 : A B C D 06 : A B C D 07 : A B C D 08 : A B C D 09 : A B C D 10 : A B C D 11 : A B C D 12 : A B C D 13 : A B C D 14 : A B C D 15 : A B C D 16 : A B C D 17 : A B C D 18 : A B C D 19 : A B C D 20 : A B C D 21 : A B C D 22 : A B C D 23 : A B C D 24 : A B C D 25 : A B C D 26 : A B C D 27 : A B C D 28 : A B C D 29 : A B C D 30 : A B C D 31 : A B C D 32 : A B C D 33 : A B C D 34 : A B C D 35 : A B C D 36 : A B C D 37 : A B C D 38 : A B C D 39 : A B C D 40 : A B C D 41 : A B C D 42 : A B C D 43 : A B C D 44 : A B C D 45 : A B C D 46 : A B C D 47 : A B C D 48 : A B C D 49 : A B C D 50 : A B C D 51 : A B C D 52 : A B C D 53 : A B C D 54 : A B C D 55 : A B C D 56 : A B C D 57 : A B C D 58 : A B C D 59 : A B C D 60 : A B C D 61 : A B C D 62 : A B C D 63 : A B C D 64 : A B C D 65 : A B C D 66 : A B C D 67 : A B C D 68 : A B C D 69 : A B C D 70 : A B C D 71 : A B C D 72 : A B C D 73 : A B C D 74 : A B C D 75 : A B C D 76 : A B C D 77 : A B C D 78 : A B C D 79 : A B C D 80 : A B C D 81 : A B C D 82 : A B C D 83 : A B C D 84 : A B C D 85 : A B C D 86 : A B C D 87 : A B C D 88 : A B C D 89 : A B C D 90 : A B C D 91 : A B C D 92 : A B C D 93 : A B C D 94 : A B C D 95 : A B C D 96 : A B C D 97 : A B C D 98 : A B C D 99 : A B C D 100 : A B C D 101 : A B C D 102 : A B C D 103 : A B C D 104 : A B C D 105 : A B C D 106 : A B C D 107 : A B C D 108 : A B C D 109 : A B C D 110 : A B C D 111 : A B C D 112 : A B C D 113 : A B C D 114 : A B C D 115 : A B C D 116 : A B C D 117 : A B C D 118 : A B C D 119 : A B C D 120 : A B C D 121 : A B C D 122 : A B C D 123 : A B C D 124 : A B C D 125 : A B C D 126 : A B C D 127 : A B C D 128 : A B C D 129 : A B C D
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