AP 7th Maths Mock Test 2023 For Chapter - 5 : " Triangles And Its Properties " Online Practice Test

1. It two angles in a triangle are 75⁰ , 55⁰ what type of triangle is that ?

Obtuse

Acute

Right

Scalene

2. The ration in which the centroid of a triangle divides the median is

1 : 2

2 : 1

1 : 3

3 : 1

3. From the adjacent figure find the values of x and y

x = 65⁰ , y = 60⁰

x = 55⁰ , y = 60⁰

x = 60⁰ , y = 55⁰

x = 60⁰ , y = 65⁰

4. The angles of the triangle are in the ratio 1 : 2 : 3 then the smallest angle is

30⁰

60⁰

90⁰

80⁰

5. A triangle can have .................. altitudes

6. The exterior angle of a triangle is 130⁰ and one of its interior opposite angles is 60⁰ , then the other opposite interior angle is

80⁰

90⁰

70⁰

60⁰

7. If in a triangle two angles are equal and the third angle is 120⁰ , what are the equal angles ?

30⁰ , 30⁰

40⁰ , 40⁰

20⁰ , 20⁰

50⁰ , 50⁰

8. Find x and y values from the figure

x = 40⁰ , y = 80⁰

x = 80⁰ , y = 40⁰

x = 70⁰ , y = 60⁰

x = 80⁰ , y = 70⁰

9. An obtuse angled triangle has ..................... acute angles

10. The angle in an equilateral triangle is

90⁰

70⁰

60⁰

50⁰

11. In a right angled isosceles triangle the acute angle is

30⁰

40⁰

50⁰

45⁰

12. An acute angled triangle has ..................... acute angles

13. A triangle which has maximum two acute angles is

Right

Obtuse

Both

None

14. The following are acute angled triangles

Equilateral

Isosceles

Scalene

All

15. The following is the possible third side if the two sides are 6 cm , 9 cm

1 cm

2 cm

3 cm

6 cm

16. Match the following

AB + BC > ( ) a . BC
BC - CA < ( ) b. CA
AD is altitude then AD < ( ) c. AB

1 - a , 2 - b , 3 - c

1 - c , 2 - b , 3 - a

1 - b , 2 - a , 3 - c

1 - b , 2 - c , 3 - a

17. The altitude of the ................ triangle lies outside of the triangle

Acute angled

Right angled

Obtuse angled

Scalene

18. What is x here ?

Median

Radius

Altitude

Angular bisector

19. In $\triangle$ ABC if $\angle$ A = 3 $\angle$ B and $\angle$ C = 2 $\angle$ B find all the three angles of $\triangle$ ABC

90⁰ , 60⁰ , 30⁰

60⁰ , 60⁰ , 60⁰

90⁰ , 45⁰ , 45⁰

50⁰ , 40⁰ , 90⁰

20. In the adjacent figure x⁰ =

30⁰

70⁰

40⁰

100⁰

21. Which of the following are the possible sides of a triangle ?

3 cm , 5 cm , 10 cm

4 cm , 4 cm , 8 cm

3 cm , 4 cm , 5 cm

None

22. If the three angles of a triangle are in the ratio 1 : 2 : 3 then the angles are

40⁰ , 60⁰ , 80⁰

30⁰ , 60⁰ , 90⁰

50⁰ , 100⁰ , 150⁰

30⁰ , 50⁰ , 100⁰

23. In $\triangle$ XYZ , $\angle$ X = 30⁰ , $\angle$ Y = 45⁰ then find $\triangle$ Z =

75 $\triangle$

15 $\triangle$

95 $\triangle$

105 $\triangle$

24. In the given figure , the values of x + y is

120⁰

190⁰

110⁰

180⁰

25. Angles of a triangle are 30⁰ , 110⁰ , x⁰then x is

50⁰

40⁰

60⁰

15⁰

26. The lengths of two sides of an isosceles triangle are 7 cm , 8 cm then the possible third side is of length

7 cm

9 cm

8 cm

7 or 8 cm

27. The exterior angle of an equilateral triangle is

120⁰

180⁰

60⁰

150⁰

28. If the angles are in the ratio 3 : 1 : 2 then biggest angle is

60⁰

120⁰

90⁰

30⁰

29. The two angles of a triangle are complementary then it is .......................... triangle

Acute angled

Obtuse angled

Right angled

Equilateral

30. Find 'x' in the figure

40⁰

60⁰

70⁰

50⁰

31. Find 'z' in the figure

40⁰

60⁰

70⁰

50⁰

32. In a $\triangle$ PQR , if $\angle$ P = 100⁰ and $\triangle$ Q = $\triangle$ R then $\triangle$ P + $\triangle$ R =

100⁰

180⁰

140⁰

40⁰

33. Match the following

60⁰ , 60⁰ , 60⁰ ( ) a. Obtuse angled triangle
45⁰ , 45⁰ , 45⁰ ( ) b. Isosceles triangle
100⁰ , 40⁰ , 40⁰ ( ) c. Right angled triangle
90⁰ , 30⁰ , 60⁰ ( ) d. Equilateral triangle
50⁰ , 50⁰ , 80⁰ ( ) e. Right angled isosceles triangle

1 - a , 2 - b , 3 - c , 4 - d , 5 - e

1 - d , 2 - e , 3 - a , 4 - c , 5 - b

1 - c , 2 - d , 3 - e , 4 - a , 5 - b

1 - e , 2 - d , 3 - c , 4 - b , 5 - a

34. Least number of possible acute angles in a triangle is.........

35. Which type of triangle is formed by BC = 7.2 cm , AC = 6 cm and $\angle$ C = 120⁰ ?

Acute angled triangle

Obtuse angled triangle

Right angled triangle

Isosceles triangle

36. Which triangle is formed by AB = 3 cm , BC = 4 cm and AC = 8 cm ?

A scalene triangle

An equilateral triangle

An isosceles triangle

No triangle formed

37. P : An isosceles triangle is right angled
Q : $\angle$ A = $\angle$ B = 45⁰ and $\angle$ C = 90⁰Which of the following statement is true ?

P is true and Q is not correct explanation of P

P is true and Q is correct explanation of P

P is false

Q is true and P is correct explanation of P

38. Which of the following statement is not true ?

A triangle can have three 60⁰ angles

A triangle can have a right angle

A triangle can have two right angles

A triangle can have all three angles equal

39. Which of the following angles are not the angles of a triangle ?

45⁰ , 65⁰ , 70⁰

45⁰ , 55⁰ , 65⁰

60⁰ , 60⁰ , 60⁰

30⁰ , 60⁰ , 90⁰

40. Sum of interior angles in a triangle is equal to

2 right angles

Right angle

Two straight angles

0⁰

41. Some of two acute angles of right angled triangle is

90⁰

60⁰

30⁰

180⁰

42. In $\triangle$ ABC , which of the following is false ?

$\overline{AB}$ - $\overline{BC}$ < $\overline{AC}$

$\overline{BC}$ + $\overline{CA}$ > $\overline{AB}$

$\overline{AB}$ - $\overline{BC}$ = $\overline{AC}$

None

43. A triangle can have ............... obtuse angle

44. The relation between x and y in the given figure expressed with 'y' as subject is ............

y = $\frac{1}{2}$ (180 - x)

y = $\frac{1}{2}$ (180 + x)

2y = 180 - x

x = 180 + 2y

45. Following lengths of the sides of a triangle are given . In which case it is not possible to construct a triangle (in cm)

3 , 4 , 5

6 , 6 , 6

4 , 4 , 8

3 , 5 , 7

46. The sum of interior angles in a pentagon is ..........

270⁰

360⁰

540⁰

480⁰

47. The opposite interior angles are in the ratio 1 : 4 then $\angle$ A , $\angle$ B ?

26⁰ , 104⁰

104⁰ , 26⁰

75⁰ , 105⁰

50⁰ , 80⁰

48. In the adjacent figure $\angle$ A + $\angle$ B + $\angle$ C + $\angle$ D + $\angle$ E = ...........

90⁰

360⁰

540⁰

270⁰

49. Find the value of x and y

135⁰ , 80⁰

80⁰ , 135⁰

70⁰ , 125⁰

125⁰ , 70⁰

50. The following is the representation of line segment

$\overline{AB}$

$\overrightarrow{AB}$

$\tworightarrow{AB}$

None

51. One of the exterior angle of a triangle is 105⁰ and the interior opposite angles are in the ratio 2 : 5 Find the angles of the triangle

75⁰ , 30⁰ , 30⁰

75⁰ , 30⁰ , 75⁰

75⁰ , 75⁰ , 75⁰

30⁰ , 30⁰ , 30⁰

52. If an exterior angle of a triangle is 130⁰ and one of the interior opposite angle is 60⁰ then find the other interior opposite angle

50⁰

60⁰

70⁰

80⁰

53. The exterior $\angle$ PRS of $\triangle$ PQR is 105⁰ . If $\angle$ Q = 70⁰ find $\angle$ P then relation between $\angle$ PRS and $\angle$ P is

$\angle$ PRS = $\angle$ P

$\angle$ PRS > $\angle$ P

$\angle$ PRS < $\angle$ P

$\angle$ PRS $\neq$ $\angle$ P

54. One of the exterior angles of a triangle is 125⁰ and the interior opposite angles are in the ratio 2 : 3 then find the angles of triangle

50⁰ , 55⁰ , 55⁰

75⁰ , 75⁰ , 50⁰

50⁰ , 50⁰ , 50⁰

50⁰ , 75⁰ , 55⁰

55. The acute angles of a right - triangle are in the ratio 2 : 3 then find the angles of the triangle

36⁰ , 55⁰ , 89⁰

35⁰ , 56⁰ , 90⁰

36⁰ , 54⁰ , 90⁰

39⁰ , 50⁰ , 98⁰

56. If the angles of a triangle are in the ratio 1 : 4 : 5 then angles are

18⁰ , 72⁰ , 90⁰

90⁰ , 90⁰ , 90⁰

72⁰ , 72⁰ , 72⁰

18⁰ , 18⁰ , 18

57. In $\triangle$ PQR , $\angle$ P = 2 $\angle$ Q and 2 $\angle$ R = 3 $\angle$ Q calculate the angles of $\triangle$ PQR

39⁰ , 69⁰ , 99⁰

30⁰ , 60⁰ , 90⁰

80⁰ , 40⁰ , 60⁰

60⁰ , 70⁰ , 90⁰

58. The angles of triangle are in the ratio 1 : 2 : 3 then greatest angle is

30⁰

60⁰

90⁰

180⁰

59. The angles of triangle are in the ratio 1 : 2 : 3 then angles are

30⁰ , 60⁰ , 180⁰

60⁰ , 90⁰ , 180⁰

90⁰ , 60⁰ , 30⁰

Can't say

60. Which of the following is true about triangle ?

A triangle can have 2 right angles

A triangle can have 2 acute angles

A triangle can have 2 obtuse angles

None

61. In a right angled triangle , one acute angle is 30⁰ then find other acute angle

30⁰

60⁰

90⁰

180⁰

62. Find the measure of the third angle of triangles whose two angles are 38⁰ , 102⁰

10⁰

20⁰

30⁰

40⁰

63. Find the measure of the third angle of triangles whose two angles are 116⁰ , 30⁰

30⁰

31⁰

33⁰

34⁰

64. Find the measure of the third angle of triangles whose two angles are 40⁰ , 80⁰

30⁰

60⁰

90⁰

100⁰

65. In a right angled triangle , one acute angle is 60⁰ then find other acute angle

30⁰

40⁰

50⁰

20⁰

66. The angles of triangle are in the ratio 2 : 3 : 4 then angles are

30⁰ , 60⁰ , 90⁰

45⁰ , 55⁰ , 65⁰

20⁰ , 40⁰ , 60⁰

40⁰ , 60⁰ , 80⁰

67. The acute angles of a right - triangle are in the ratio 1 : 2 then find the angles of the triangle

30⁰ , 60⁰ , 90⁰

36⁰ , 54⁰ , 90⁰

18⁰ , 72⁰ , 90⁰

All

68. If the angles of a triangle are in the ratio 2 : 3 : 4 then angles are

18⁰ , 72⁰ , 90⁰

36⁰ , 54⁰ , 90⁰

30⁰ , 60⁰ , 90⁰

40⁰ , 60⁰ , 80⁰

69. In $\triangle$ XYZ , $\angle$ X = 2 $\angle$ Y and $\angle$ Z = 3 $\angle$ Y calculate the angles of $\triangle$ XYZ

20⁰ , 40⁰ , 60⁰

30⁰ , 60⁰ , 90⁰

30⁰ , 90⁰ , 80⁰

12⁰ , 82⁰ , 13⁰

70. In $\triangle$ DEF , $\angle$ D = 4 $\angle$ E and 2 $\angle$ F = 10 $\angle$ E calculate the angles of $\triangle$ DEF

20⁰ , 40⁰ , 60⁰

30⁰ , 60⁰ , 90⁰

30⁰ , 90⁰ , 80⁰

18⁰ , 72⁰ , 90⁰

71. If an exterior angle of a triangle is 120⁰ and one of the interior opposite angle is 70⁰ then find the other interior opposite angle

50⁰

60⁰

40⁰

30⁰

72. If an exterior angle of a triangle is 140⁰ and one of the interior opposite angle is 40⁰ then find the other interior opposite angle

100⁰

60⁰

90⁰

80⁰

73. One of the exterior angle of a triangle is 100⁰ and the interior opposite angles are in the ratio 2 : 3 Find the angles of the triangle

40⁰ , 56⁰ , 98⁰

34⁰ , 65⁰ , 90⁰

23⁰ , 76⁰ , 57⁰

40⁰ , 60⁰ , 80⁰

74. One of the exterior angle of a triangle is 160⁰ and the interior opposite angles are in the ratio 1 : 3 Find the angles of the triangle

40⁰ , 56⁰ , 98⁰

34⁰ , 65⁰ , 90⁰

120⁰ , 76⁰ , 87⁰

20⁰ , 40⁰ , 120⁰

75. Which of the following are impossible ?

6 cm , 6 cm , 9 cm

3 cm , 4 cm , 5 cm

Both

4 cm , 4 cm , 8 cm

76. Triangle has ................ line segments

No line segments

77. Triangle is

Opened figure

Closed figure

Either open or close

Symmetry

78. Triangle has .............. vertices

Depending on triangle

79. Triangle has .............. sides

Depending on triangle

80. Triangle has .............. angles

Depending on triangle

81. Here $\angle$ A is opposite to side

None

82. Here $\angle$ C is opposite to side

None

83. Here opposite angle to side CA is

$\angle$ A

$\angle$ B

$\angle$ C

None

84. Here opposite angle to side BA is

$\angle$ A

$\angle$ B

$\angle$ C

None

85. Triangle formed by 3 collinear points with equal distance formed ....................... triangle

Scalene

Equilateral

Isosceles

No triangle formed

86. The region of plane enclosed by $\triangle$ ABC is called the

Interior of $\triangle$ ABC

Exterior of $\triangle$ ABC

Triangular region

None

87. The region of plane is not enclosed by $\triangle$ ABC is called the

Interior of $\triangle$ ABC

Exterior of $\triangle$ ABC

Triangular region

None

88. The interior of a triangle together with its boundary is known as the ............................. in a plane

Interior of $\triangle$ ABC

Exterior of $\triangle$ ABC

Triangular region

None

89. A triangle having all the three sides are equal length is called

Equilateral triangle

Scalene triangle

Isosceles triangle

Right angled triangle

90. A triangle having at least two sides of equal length is called

Equilateral triangle

Scalene triangle

Isosceles triangle

Right angled triangle

91. A triangle having all three sides with different lengths is called

Equilateral triangle

Scalene triangle

Isosceles triangle

Right angled triangle

92. A triangle whose angles are less than 90⁰ is called

Acute - angled triangle

Obtuse - angled triangle

Right -angled triangle

None

93. A triangle whose angles are greater than 90⁰ is called

Acute - angled triangle

Obtuse - angled triangle

Right -angled triangle

None

94. A triangle whose angles is 90⁰ is called

Acute - angled triangle

Obtuse - angled triangle

Right -angled triangle

None

95. In Angle - sum property of a triangle the sum of all three angles in triangle is

60⁰

90⁰

120⁰

180⁰

96. A line segment drawn form a vertex of triangle which is perpendicular to the side opposite to the vertex is called an

Altitude

Median

Centroid

Angle

97. The line segment that joins a vertex and the mid point of its opposite side is called

Altitude

Median

Centroid

Angle

98. The point of intersection of median of a triangle is called

Altitude

Median

Centroid

Angle

99. Centroid of triangle is denoted by

100. In triangle means

2 angles

3 angles

4 angles

No angles

AP 7th Maths Mock Test 2023 For Chapter – 5 : ” Triangles And Its Properties ” Online Practice Test

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