# AP 9th Maths Mock Test 2021 For Chapter 8 – “Quadrilaterals” Online Practice Test

1. In a quadrilateral , the angles are in the ratio 1 : 2 : 3 : 4 then the value of larger angle is
2. The angles of a quadrilateral are x , x - 100 , x + 300 and 2x0 then the smallest angle is
3.
1. Statement - I : In a rectangle PQRS , P = 3x - 10 , Q = 5x + 30 then P = 1200
2. Statement II : The angles of a quadrilateral are y , y + 10 , y + 30 and 2y then the smallest angle is 580
3. Statement III : If in a parallelogram DEFG , DE = 4cm , EF = 7 cm then the length of the diagonal is less than 11 cm.
4.
1. The four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4 then the angles are 360 , 720 , 1080 , 1440
2. In a quadrilateral PQRS the bisectors of R and S intersect at 'O' then ROS = (P + Q)
3. In a parallelogram if the diagonals bisect any of the angle then it is a rhombus
4. The angle bisectors of a parallelogram from triangle
Which of the above are correct ?
5. JUMP is a square with JUP = 450 then PUM =
6. In a parallelogram ABCD , D = 600 then A =
7. In a parallelogram PQRS the values of QSP and QSR are
8. A quadrilateral has three acute angles each measuring 800 , the measure of fourth angle is
9. The angles of a quadrilateral are x0 , (x - 10)0 , (x + 30)0 and 2x0 then the greatest angle is equal to
10. Two adjacent angles of a parallelogram are (2x - 5)0 and (4x - 1)0 the x0 =
11. In a parallelogram ABCD , diagonals AC and BD intersect at 'O' and AC = 12.8 cm , BD = 7.6 cm. The measure of OC and OD respectively are
12. In a rhombus PQRS , diagonals intersect at 'O' . If PQ = 10 cm , diagonal QS = 16 cm , then the length of the diagonal PR is ............
13. In triangle ABC , E is the mid point of median AD such that BE produced meets AC at 'F' . If AC = 10.5 cm , then AF =
14. The diagonals of a parallelogram ABCD intersects at 'O' . If BOC = 900 and BDC = 500 then OAB =
15. The diagonals AC and BD of a rectangle ABCD intersect each other at 'P' . If ABD = 500 then DPC =
16. In a rhombus PQRS , if PQ = PR then QRS =
17. If the lengths of two diagonals of a rhombus are 12 cm , 16 cm , then the length of each side is
18. PQRS is a rhombus . If PRQ = 400 then PSQ =
19. If an angle of a parallelogram is of its adjacent angle , then the smallest angle of the parallelogram is
20. ABCD is a rhombus , Prove that the diagonals divide the rhombus into four congruent triangles , for the above problem what is R.T.P ?
21. Assertion A : Each angle of a rectangle is a right angle is the corollary
Reason R : A corollary is a statement the truth of which follows readily form an established theorem
22. Assertion A : The figure formed by joining the midpoints of sides of a rhombus successively is a rectangle
Reason R : A quadrilateral is a simple closed figure formed by four lines in a plane
23. In a square ABCD , the diagonals bisect at 'O' what type of a triangle is AOB ?
24. One diagonal of a rhombus is equal to side of the rhombus then the pair of unequal angles of the rhombus are
25.
1. Statement : ABCD is a square . Ac and BD intersect at 'O' . The measure of AOB is 900
2. Reason R : Diagonals of a square bisect each other at right angles
26. In which of the following figures the adjacent sides are not necessarily be equal
27. In a parallelogram ABCD , the bisectors of the consecutive angles A and B intersect at 'P' then APB =
28. If ABCD is a isosceles trapezium , C =
29. The figure formed by joining the mid - points of the adjacent sides of a rectangle is
30. In a parallelogram , if one set of opposite angles are complementary , then the biggest angle in it is
31.
1. Line segments joining the midpoints of a triangle cuts the triangle into 4 congruent triangles
2. The minimum number of line segments required to form a closed figure is 4
3. Parallelogram is a specific quadrilateral with many properties
32.
1. The figure formed by joining the midpoints of sides of rectangle is      ( ) P. Rhombus
2. The figure formed by joining the midpoints of sides of rhombus is      ( ) Q. 4 right angles
3. Sum of 4 angles of a quadrilateral                                                              ( ) R. AC
4. One of the diagonals of quadrilateral ABCD                                            ( ) S. Rectangle
33. ABCD is a quadrilateral If AC and BD bisect each other , what is ABCD ?
34.
1. Diagonals are equal but not perpendicular         ( ) a. Parallelogram
2. Diagonals are unequal but perpendicular            ( ) b. Rectangle
3. Diagonals are neither equal nor perpendicular  ( ) c. Trapezium
35. A quadrilateral having two adjacent sides equal and the opposite sides unequal , then it is called a
36. In ABCD quadrilateral Ab = Dc and AD = BC also A = 900 then ABCD is a
37. The consecutive sides of a quadrilateral have .................. common point
38. In the given figure find P in the parallelogram PQRS
39. Which of the following properties are not true for a parallelogram ?
40. In which of the following , "Opposite angles are equal" ?
41. In a quadrilateral , if each pair of opposite angles are equal then it is a
42. ABCD is a square , its diagonals bisect at 'O' then the triangle AOB is ............ triangle
43. A quadrilateral is a rectangle but not a square when
44. The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS , taken in order , is a rhombus if
45. ABCD is a quadrilateral , PQRS is a kite then which of the following is correct
46. The square ABCD has the property of Only one set of opposite sides are parallel then if BC parallel to AD and is a transversal ADB = 100 - 4x0 , CBD = 1800 - 5x0 then x =
47. Square KLMN has the all sides and angles are equal
From the above statement answer the following
If KM is the diagonal , then KML =
48. In square PQRS the diagonals bisect each other
From the above statement answer the following
and are the angle bisectors at p , Q which meets at O , then pOQ =
49. Square ABCD has only one set of opposite sides are parallel
From the above statement find the answer
If parallel to then A and D are
50. From the above table find the false statement
51. The diagonals of a rhombus are 12 cm and 16 cm . Then the length of each side is
52. In triangle ABC , AD and BE are medians and BE parallel to DF then AC =
53. In a parallelogram ABCD , if AB = 2x + 5 , CD = y + 1 , AD = y + 5 and BC = 3x - 4 then the ratio of AB : BC =
54. If AB = 16 cm then the distance between ,   is
55. Which of the following are in the same ratio as Area of square ABXD : Area of square ABCD ?
56. If an angle of parallelogram is of its adjacent angle , the largest angle of the parallelogram is
57. Area of triangle DEF =
58. In a parallelogram ABCD , the bisectors of the consecutive angles A and B intersects at 'P' show that APB = 900
a. Sum of the consecutive angles = 1800 , A + B = 1800b. In APB , sum of 3 angles = 1800c. + = 900d. BAP + ABP = 900e. APB + BAP + ABP = 1800f. APB = 900g. APB + 900 = 1800Arrange the steps orderly
59. If the sides BA and DC of a quadrilateral ABCD are produced as shown in the figure then
60. In the given figure ABCD is a square then the measure  of DBC =
61. In the given figure , ABCD is a quadrilateral , the line segments bisecting C and D meet at E then 2 CED =
62. ABCD is a trapezium , AB parallel to CD . AB = 6 cm , BC = AD = 5 cm then find x ?
63. All sides are equal in
64. Which of the following are not a properties of Square ?
65. Find false statement ?
66. Find true statement ?
67. The four angles of a quadrilateral is in the ratio 1 : 2 : 3 : 4 then find the measure of each angle of quadrilateral
68. Diagonal of a rectangle is the ............................ of that angles
69. Each angle of a rectangle is
70. The angle bisectors of a parallelogram form a
71. The figure formed by joining the mid point of sides of a rhombus successively is a
72. The diagonals of a square are
73. The diagonals of a rhombus divide it into .......... congruent triangles
74. A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides is called
75. In rhombus , sum of any two adjacent angles is
76. Each diagonal of a rhombus divides it into .............. congruent isosceles triangles
77. .............................. is simple closed figure bounded by 4 lines in a plane
78. .............................. is simple closed figure bounded by 3 lines in a plane
79. Joining the opposite vertices ........................... are formed in quadrilateral
80. Sum of four angles of a quadrilateral is
81. .................... is a quadrilateral in which one pair of opposite sides are parallel
82. The diagonals of trapezium divides each other
83. Which of the following is not a quadrilateral ?
84.
• opposite angles are equal
• Each angle is equal to 900
• Lengths of the diagonals are equal
• Diagonals of rectangle bisects each other
• Each diagonal divides it into congruent right angled triangle
These all are properties of
85.
• lengths of diagonals are equal
• Base angles are equal
• Sum of right side angles 1800 and left side angles is 1800
These are all belongs to
86.
87. In ............. each angle is right angle
88. diagonals are perpendicular to each other in
89. Only one pair of opposite sides are parallel in
90. Two pairs of opposite sides are parallel in
91. ABCD is a rectangle , AC is diagonal then find the angles of triangle ACD
92. In the adjacent figure ABCD is a parallelogram and ABEF is a rectangle then the relation between triangle AFD and triangle BEC are
93. Find the measure of all the angles of a parallelogram if one angle is 240 less than the twice of the smallest angle
94. ABCD is parallelogram and AP , CQ are perpendicular drawn from vertices A and C on diagonal BD then
95. Which of the following are true ?
96. Which of the following is false ?
97. In a square JOSH angle at JOS = 89 then the angle at OSH =
98. A quadrilateral has three acute angles each measuring 1000 then the measure of fourth angle is
99. Kite is example for
100. Quadrilateral contains ........... sides , ............... angles , ............ vertices