Assignment Ch8
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.
(A) Rectangle
and Q is the midpoint of AC
(C) Trapezium
(D) Parallelogram
AB
(B) Rhombus
05. In
AB, BC
(A) 45
(B) 15
(C) 30
(D) 60
06.
(A) 48
(B) 52
(C) 13
(D) 26
07.
(A) 13
(B) 17
(C) 1
08.
and CA
(D) 8.5
C is an equilateral triangle. D, E and F are the midpoints of AB, BC and CA respectively. If the AB = 8 cm,
(A) 24
(B) 12
(C) 48
(D) 6
AD || BC and P and Q are the midpoints of
09.
BC = 18 cm, then PQ = …………. cm.
(A) 14
(B) 28 (C) 7 (D) 56
10.
(A) 20
and CD respectively. If AD = 10 cm and
m
ABCD
(B) 45
(C) 90
(D) 70
R=…
11. In trapezium PQRS, PS|| QR
(A) 50
(B) 100 (C) 150 (D) 80
12.
(A) 45
AB
ABD = …
m
(B) 90
(C) 30
(D) 40
13. In ⭦m
(A) 35
(B) 55
(C) 70
(D) 110
A=…
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.
(A) 12
ABCD is 32 cm. if AB = 10 cm, then AD = ………… cm.
(C) 6 (D) 8
m
(B) 16
17. In trapezium PQRS, PS|| QR and E and F are the midpoints of P Q and
cm, then QR = ………… cm
(A) 24
(B) 2 (C) 12 (D) 18
RS
respectively. If EF = 10 cm and PS = 8
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
(A) Square (B) Trapezium (C) Rhombus
⭦PBCQ is a …
(D) Rectangle
21. ⭦PQRS is a square. If PQ = 5 then QS = …
(A) 10
(B) 15
(D) 5 2
(C) 50
22. Perimeter of rhombus PQRS is 96. Then PQ is …
(A) 24
(B) 12 (C) 48 (D) 6
23.
(A) 6
AB
(B) 2.5
(C) 5
and AC . If AB = 13 then DE = …
(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 ⭦m
(A) 115
(B) 65
(C) 100
Q = ……
(D) 85
26. In ⭦
(A) 60
(B) 120
(C) 100
C = ……
(D) 50
27.
(A) 20
(B) 50
respectively. If AB : BC : CA = 2 : 3 : 5 and QR = 20
AB, BC , AC
respectively. If EF + EG = 14 and AB = 7 then perimeter
PQR = …
(C) 30 (D) 40
28.
ABC = …
(A) 15
(B) 45
PQ, QR , RP
(C) 35
(D) 25
29. In a trapezium ⭦PQRS, PQ || SR , PQ > SR. X and Y are midpoints of
PQ = 12 then RS = …
(A) 9
(B) 6 (C) 12 (D) 3
SP
and QR respectively. If XY = 7.5, and
30. In trapezium ⭦ABCD AB || CD , AB > DC. P and Q are midpoints of AD and
then XY = …
(A) 11
(B) 7 (C) 13 (D) 9
31.
of ⭦DBCF = …
(A) 30
(B) 39
32.
(A) 6.25
AB, BC, CA
(C) 31.5
(D) 19.5
(C) 37.5
(D) 50
respectively. If AB = 15, CD = 7
respectively. If AB = 9, BC = 12, CA = 18 then the perimeter
XY, YZ , ZX
(B) 12.5
BC
33.
AB
(A) 13
(B) 19.5
(C) 26
and
AC .
If EF = 6.5 then BC = …
(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 ⭦m
(A) 90
(B) 35
36. ⭦
(A) 60
PXQ = …
(C) 45
(D) 55
QPO = …
(B) 20
(C) 70
(D) 40
37. ⭦DEFG is a rhombus. If DF = 30 and EG = 16 then perimeter of ⭦DEFG = …
(A) 72
(B) 68 (C) 76 (D) 64
38. ⭦
(A) 90
⭦PQRS = …………. cm.
(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.
(C) Intersection of opposite angles of the quadrilateral.
(B) Intersection of opposite sides 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.
(A)
AB and BD
(B) CD and AB
(C) AC and BD
(D) AB and DA
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
46.
quadrilateral.
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 subse
(A) CD
(B) AB
(C) AC
(D) BC
49.
……. side/s of the quadrilateral.
(A) Two
(B) Four
(C) One
(D) Three
50. Every rectangle is a …
(A) Parallelogram (B) Square
(C) Trapezium
(D) Rhombus
51. Every rhombus is a …
(A) Rectangle
(B) Trapezium
52.
(A) 90
53.
(A) 8
(C) Square
. If AC  BD  M
(B) 45
(B) 12
(C) 60
(D) Parallelogram
AMB = …
(D) 30
(C) 16
(D) 24
54. perimeter of ⭦PQRS is = ……
(A) 18
(B) 30 (C) 24 (D) 24
55. ⭦ABCD is a rhombus. If AC intersects BD
(A) 90
(B) 60 (C) 30 (D) 45
56.
⭦PQRS.
57. In a trapezium ABCD, AD|| CD and AD < BC. E and F are midpoints of AB and
AD = …
(A) 20
(B) 6 (C) 8.5 (D) 14
CD . AC  EF  P
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.
61. In a trapezium ⭦PQRS,
(A) 54
(B) 99 (C) 81
PS|| QR
…
(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
if EP = 7 then
66. Diagonals of a ………….. are congruent and
perpendicular to each other.
(A) Rhombus
(B) Trapezium (C) Rectangle
67.
(A) 60
(D) Square
AOB = …
(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
72.
(A) 16
(B) 8
(C) 12
(D) Parallelogram
(D) 4
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.
(A) 2
AB
(B) 4
(C) 12
and AC respectively. If EF = 4 cm, then BC = ………… cm.
(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)
⭦ABCD.
is
a
diagonal
of
⭦ABCD.
(C) AC
(D)The angle of quadrilateral is a subset of the quadrilateral
77.
(A) 2
78. In ⭦
(A) 120
AB
(B) 6
(C) 4
and
AC .
If R and S midpoints of AD and AQ and BC = 16 then RS = …
(D) 8
B = ……
(B) 24
(C) 48
(D) 96
79. AD and DE are opposite sides while AD and AB are adjacent sides of …
80.
ABCD is …
(A) BC
81.
(A) BD
D is …
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
85. In ⭦m
(A) 60
(B) 75
(D) Acute
CDB = …
(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
(C) PR  QS and bisect each other
m
89. In ⭦ PQRS, M is the foot of perpendicular from S to P Q .
(A) 50 or 130
(B) 60 or 120 (C) 30 or 150
P=…
(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.
…
(A) 100
94.
(A) Two
PQRS is
(B) 60
(B) One
(C) 120
(D) 80
(C) Four
(D) Three
95.
RS
(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.
(A) 150
D=…
(B) 60
99. If in ⭦
(A) 144
(B) 24
(C) 100
(C) 72
(D) 50
(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
m
101. In ⭦ PQRS, 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
102.
(A) 50
P=…
PQ
D=…
(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.
(D) QR
(C) P Q
(B) RS
(A) P R
105. The perimeter of rectangle ABCD is 36, and AB : BC = 4 :5 then the length of
(A) 10
(B) 8 (C) 16 (D) 9
BC
=…
AB, BC, CA
106.
(A) 6
(B) 48
(C) 24
(D) 36
107.In trapezium ABCD, AD || BC , BC > AD. Points P and Q are midpoints of
PQ = …
(A) 14
(B) 7 (C) 4 (D) 3
AB
and CD . If AD = 6 and BC = 8 then
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 ⭦m
(A) 35
(B) 110
PXQ is …
(C) 55
(D) 90
110.
(A) 6 2
(C) 3 2
(D) 6
111. In ⭦m
(A) 45
(B) 135
(C) 90
(D) 120
112. In ⭦m
(A) 60
(B) 72
(C) 108
(D) 90
(C) 65
(D) 115
113.
(A) 50
(B) 3
C=…
D=…
A=…
m
ABCD,
(B) 130
114.
m
(A) 2 : 3 : 2 : 3
115.
(A) 108
m
116.
(A) 70
m
117.
(A) 120
m
(B) 3 : 4 : 5 : 6
D can be …
(C) 2 : 3 : 5 : 8 (D) 2 : 3 : 3 : 2
D = ……
(B) 60
(C) 120
(D) 72
(B) 100
(C) 110
(D) 90
(C) 80
(D) 100
C=…
(B) 160
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
(A) 75
(B) 60 (C) 150 (D) 30
122.
(A) 150
123.
(A) 12
124.
(A) 8
m
(C) 105
(B) 60
(B) 24
(B) 10
(C) 6
(C) 6
(D) 75
(D) 18
(D) 4
125. For rhombus ABCD ………. is not true.
(A) AC  BD
126.
(A) 210
127.
(A) 48
128.
(A) 7
129.
(A) 90
(C) AC  BD
(B) AB  AD
(B) 105
(C) 150
(D) 300
PQRS is ………. cm
m
(B) 24
m
(C) 12
(D) 18
ABCD is 12 cm. If AB = 4 cm, then BC = ………. cm.
(D) 4
m
(B) 5.5
(C) 6
m
(B) 80
(D) AB  BC
(C) 50
(D) 40
Answers:
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


