AP 9th Maths Mock Test 2021 For Chapter 7 – “Triangles” Online Practice Test

1. From the given figure x = .............
2. In the given figure the point 'P' bisects AB and DC . Prove that \triangleAPC  \cong \triangleBPD
a. Consider \triangleAPC and \triangleBPD
b. CP = DP
c. AP = BP
d. \angleAPC = \angleBPD
e. \triangleAPC  \cong \triangleBPD
Arrange the steps orderly
3. Two line segments are congruent if they have same ...............
4. Two circles are said to be congruent , if their ....... are equal
5. Two rhombuses are said to be congruent if their ......... are equal
6. Any two circles are
7. Angles opposite to equal sides of a triangle are ...........
8. Each angle of an equilateral triangle is
9. An exterior angle of a triangle is equal to the sum of two ............ angles
10. An exterior angle of an isosceles triangle is 1100 then the angles in the triangle are ...........
11. In a triangle ABC , is 2\angleA = 3\angleB = 6\angleC then \angleA , \angleB , \angleC are .............
12. How many criteria of congruency of triangles are there ?
13. The angles of a triangle are in the ratio 7 : 6 : 2 what is unit place digit of the smallest angle ?
14. Two circles with same radii are ...........
15. Which of the following is not a criterion for congruence of triangles ?
16. In a triangle , angle opposite to the longer side is ...........
17. If \triangleABC congruent to \triangleDEF under which criteria ?
18. AC bisects \angleBAD , \angleBCD which of the following methods can be used to prove \triangleABC  \cong\triangleADC
19. Teacher asked her students to measure the lengths of sides of school garden which is in a triangle shape
Sudha measured as 50 mts , 45 mts and 20 mts
Kiran measured as 40 mts , 20 mts and 60 mts
Radha measured as 45 mts , 20 mts and 50 mts
Jhon measured as 40 mts , 20 mts and 65 mts
20. In the given figure AB \parallel CD , AB = CD . \overline{AC} and \overline{BD} intersects at 'O' from the given information which of these is false ?
21. \trianglePQR is an equilateral triangle X , Y , Z are the midpoints of the sides and A , B , C are of the midpoints of sides \triangleXYZ , if the perimeter of \trianglePQR is 8.4 cm then perimeter of \triangleABC =
22. l , m are two lines intersecting at A , P is a point equidistant . To prove \overline{AP} is the bisector of the angle formed by 'l' and 'm' . Which of the following information is not needed ?
23. From the given figure , what is the additional information needed to prove OBE\cong \triangleOCD ?
24. From a rectangular shape of paper if you cut 3 triangles the area of bigger triangle is
25. In \bigtriangleupABC , \overline{AD} , \overline{BE} are medians \overline{BE} , \parallel\overline{DF} . To prove CF = \frac{1}{4}AC it was written as "In \bigtriangleupABC , 'D' is the mid - point of \overline{BC} and \overline{BE} , \parallel\overline{DF} . As per triangle mid-point theory 'F' is the mid point of \overline{CE} ,if CF = \frac{1}{2}CE" . Which of the following is the next step ?
26. Assertion A : When we have two sides and an angle equal we cannot say that the triangles are congruent unless the angle is between the given sides
Reason R : We can say that the SAS congruency rule holds for the statement
27. Assertion A : The sum of any two sides of a triangle is greater than the third side
Reason R : Sides opposite to equal angles of an isosceles triangle are equal
28. Assertion A : ABC is a right triangle in which \angleA = 900 and AB = AC then \angleB = \angleC
Reason R : Angles opposite to equal sides are equal in a triangle
29. Assertion A : AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD then \angleA > \angleC
Reason R : \triangleABC is an isosceles triangle in which altitudes BD and CE are drawn to equal sides AC and AB respectively , then these altitudes are equal
30. In the adjacent figure \triangleABC , D is the midpoint of BC , DE \bot AB , DF \bot AC and DE = DF then ST \triangleBED \cong\triangleCFD then arrange the steps orderly
a. In \triangleABC , D is a midpoint of BC i.e, BD = DC
b. Consider \triangleBED and \triangleCFD
c. DE = DF
d. \triangleBED \cong\triangleCFD
e. DE \perp AB and DF \perp AC , hence DE = DF
f. BD = DC ; \angleBED = \angleCFD = 900
31. ABC is a right angled triangle in which \angleA = 900 and AB = AC show that \angleB = \angleC
a. Consider \triangleDAC and \triangleDAB
b. Ab = AC , \angleBAD = \angleCAD = 450 , AD = AD
c. Draw AD bisector to\angleBAD
d. \triangleDAC \cong \triangleDAB
e. \angleB = \angleC
Arrange the above steps orderly
32. In an isosceles triangle ABC with AB = AC , D and E are points on BC such that BE = CD show that AD + AE
a. In \triangleABD and \triangleACE
b. AB = AC
c. that is BD = CE
d. \angleB = \angleC
e. Also BE = CD , so BE - DE = CD - DE
f. So \triangleABD \cong \triangleACE
g. AB = AE
Arrange the steps orderly
33. Which of the following is different statement ?
34. In \bigtriangleupABC , AB = 5 cm , BC = 6 cm , CA = 7 cm . Identify the relation between the angles
35. If \triangleABC  \cong \triangleDEF , then\angleC =
36. \trianglePQR , \overline{PR} is the longest side then the greatest angle is
37. In \triangleXYZ , W is a point on YZ such that XW = XZ then
38. In the figure , PA = PB and QA = QB then \anglePOA is ........... angle
39. In a triangle , if two angles are equal , then sides opposite to them are ...............
40. In a triangle the sides are 6 cm , 8 cm and 10 cm then the greatest angle is .......
41. Which of the following is correct ?
42. Sum of any two sides of a triangle is always ................ third side in a triangle
43. 6 cm , 5 cm , 3 cm form .................. type of triangle
44. In \bigtriangleupABC , if \angleA = 450 and \angleB = 700 then the shortest and largest sides of the triangle are ..............
45. Which of the following statement is correct ?
46. In \bigtriangleupABC , AD \perp BC , \angleB = \angleC and AB = AC , state by which property \triangleADB\cong \triangleADC ?
47. Which of the following statements are true ?
48. Statement : Two triangles are said to be congruent if two sides and an angle of the one triangle are respectively equal to the two sides and an angle of the other
Reason R : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other
49. Statement : If we draw triangles with angles 300 , 700 and 800 and te length of the sides of one triangle be different then that of the corresponding sides of the other then the two triangles are not congruent
Reason R : If two triangles are constructed which have all corresponding angles equal but have a pair of unequal corresponding sides , then the two triangles cannot be congruent to each other
50. In the figure , diagonal AC of a quadrilateral ABCD bisects the angles A & C then
51. If a triangle is regular then it is .................. triangle
52. If two isosceles triangles have a common base then the line joining their vertices will
53. The sum of exterior angles of a triangle is
54. If in the given diagram BD = AD and AC = CD then \angleCAB : \angleABD =

55. "In a triangle median divides the triangle into two triangles whose areas are equal " Rough diagram for the above statement is
56. Match the following if \triangleABC\cong \trianglePQR
  1. ED                                       ( ) P. FD
  2. \angleE                                      ( )Q. \angleD
  3. QR                                      ( )R. PR
  4. \angleR                                      ( )S. \angleP
57. ABC is a triangle in which \angleB = 2\angleC . D is the mid point on BC such that AD bisects \triangleBAC and AB = CD . Based on above data match the following
  1. \angleBAC                          ( ) a. 360
  2. \angleACB                          ( )b.720
  3. \angleADC                          ( )c. 1080
  4. Exterior of \angleADB      ( )d. 880
58. A : We can make two different squares with sides having same measure
B : 'Congruent'means equal in all aspects
C : The sides decide the size of the triangle
D : The angle decides the shape of the triangle
59. Statement I : If Ab and CD are intersecting at 'O' then OA = OB and OD = OC then AD  \parallel BC
Statement II : PQR is a triangle in which PQ = PR and 'S' is any point on the side PQ , through 'S' . A line is drawn parallel to QR and intersecting PR at 'T' then PS = Qs
60. Statement I : In two triangles one of the angle and two sides are equal then the two triangles are congruent
Statement II : In any triangle , the side opposite to the larger angle is shorter
Statement III : The sum of any two sides of a triangle is greater than the third side
61. i. CPCT are always equal
ii. CPCT means corresponding parts of congruent triangles
iii. CPCT means congruent parts of corresponding triangles
iv. CPCT are related to congruent and similar triangles
Which of the above are correct ?
62. i. If one angle , side , angle of two triangles are equal then we say that they are congruent triangles
ii. In right angle triangle if one side and hypotenuse of triangles are equal then we can say that they are congruent
iii. If all sides of a triangle are equal to another triangle then we can say that they are congruent
iv. SSA is a congruency rule
Which of the above are correct ?
63. i. In a triangle ABC , exterior angle at A measures 1700 and angle at B = 800 then angle at C = 900ii. The sum of three altitudes of a triangle is less than the sum of two sides of a triangle
iii. In a triangle DEF , angle at D is 400 , angle at E is 600 , angle at F is 800 then exterior angle at F is 1000iv. In obtuse angled triangle , one of the angle must be > 900 and < 1800Which of the above are correct ?
64. AB is a line segment and line 'l' is its perpendicular bisector of a point 'P' lies on 'l' Show that 'P' is equidistant from A and B

a. Consider \trianglePCA and \trianglePCB
b. PA = PB as they are corresponding sides of congruent triangles
c. \trianglePCA \cong \trianglePCB
d. AC = BC
e. \anglePCA = \anglePCB = 900f. PC = PC
Arrange the steps orderly
65. Find the odd one
66. In triangle ABC , if AB > AC then the angle B ...........
67. In \triangleXYZ , XZ is the smallest side , then the smallest angle is ............
68. The difference of any two sides of a triangle is ....... third side
69. An exterior angle of a triangle is 1200 then the triangle is ...... triangle
70. If a , b , c are the sides of a triangle then
71. In triangle PQR , QR = 5.4 , \angleP = 500 and \angleQ = 300 then PQ + PR =
72. In triangle PQR , QR = 5.4 , \angleP = 500 and \angleQ = 300 then the exterior angle of R =
73. In \triangleXYZ , XY = 7 , YZ = 13 and ZX = 12 then the biggest angle is at which vertex ?
74. In \triangleABC , AB = 6.7 , BC = 5.4 , AC = 3.5 and angle at B is 300 , angle at C = 1000.In \trianglePQR , QR = 5.4 and angle at p is 500 , angle at Q is 300, From the above data \triangleABC \cong \trianglePQR under which congruency criterian ?
75. TQ and TR are angular bisectors of \angleQ and \angleR respectively , the measure of \angleQTR will be
76. The value of 'x' from the adjacent figure will be
77. In the figure (p+r) =
78. If in the given figure angle at p is 1300 then the value of x =
79. The value of 'q' is
80. Which of the following is different ?
81. In the given triangle is it possible to exist all exterior angles as right angles
82. ABC is a right angled triangled in which \angleA = 900 and AB = AC then
83. If ABC is isoseles triangle in which AB = AC . Side BA is produced to D such that AD = AB then \angleBCD is a
84. Figures which are identical i.e having same shape and size are called
85. The sum of the three angles of a triangle is
86. In a right angle triangle the 'hypotenuse' is the
87. The difference of any two sides in a triangle is ............. the third side
88. The sum of any two sides of a triangle is ................ the third side
89. In any triangle , the side opposite to the larger angle is
90. Each angle of an equilateral triangle is
91. If two sides of a triangle are unequal , the angle opposite to the longer side is
92. Conversely , sides opposite to equal angles of an isosceles triangle are
93. Angles opposite to equal sides of an isosceles triangle are
94. Congruency of triangles are
95. Congruency of triangles are
96. \cong means
97. Which of the following is true ?
98. Which of the following is false ?
99. In rhombus , ......... sides are equal
100. Which of the following triangle has 600 to each angle ?

 

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