All About Triangles

Mathematics

Basic Concepts about Triangles

1. With respect to the lengths of sides, a triangle is classified into:

a) Two types
b) Four types
c) Three types
d) None of these
2. A triangle can be classified with respect to angles into:

a) Four types
b) Three types
c) Two types
d) Only one type
3. If two angles in a triangle are congruent, then:

a) Their opposite sides are also congruent
b) All three altitudes are also congruent
c) Their medians are same
d) All these correct
4. A triangle has six segments, 3 angles and 3:

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5. If the altitudes of a triangle are congruent, then the triangle is:

a) Isosceles triangle
b) Equilateral triangle
c) Right angled triangle
d) None of these
6. In a triangle if one of the angles is 90° or more, the remaining two angles will be:

a) Less than 90°
b) One angle greater than 90° & the other will be less then 45°

c) Less than 45°
d) B & C are correct

7. The sum all the three angles of a triangle is:

a) 270°
b) 360°
c) 180°
d) None is correct
8. A triangle is union of three line segments, each pair having:

a) Three common end points
b) Two common end points
c) One common end point or vertex
d) None of these
9. A triangle is:

a) The Union of three lines
b) Intersection Six lines
c) Formed only when a transversal cuts two parallel lines
d) All are correct
10. In the diagram triangle ABC is:

a) Line AB n BC n AC
b) Line AB u BC n AC
c) Line AB u BC u AC
d) Line AB u BC n AC
11. A triangle has:

a) 9 line segments
b) 4 angles
c) 3 angles only
d) 6 elements (3 sides with 3 angles)
12. Elements of a triangle are

a) Three sides and three angles
b) Three angles only
c) Three sides only
d) Two sides & one angle
13. If all the sides of a triangle are equal in length, then:

a) Scalene Triangle
b) Isosceles Triangle
c) Equilateral Triangle
d) Tangent Triangle
14. A triangle having any two sides equal in measure is called:

a) Equilateral triangle
b) Scalene triangle
c) Congruent triangle
d) Isosceles triangle
15. In the diagram, slash marks on the sides of the triangle indicates:

a) Equilateral triangle
b) Congruent angles
c) Scalene lengths
d) Lines of equal measure
16. Medians of a triangle are :

a) Concurrent
b) Parallel
c) Perpendicular
d) None of these
17. State the types of triangles with respect to angles:

a) Obtuse angle, Right angle and Equilateral angle triangles
b) Obtuse angle, Vertical angle and Equilateral angle triangles
c) Obtuse angle, Acute angle, Right angled and Equilateral angle triangles
d) Obtuse angle, Vertex angle and Equilateral angle triangles
18. A right angle triangle is a triangle that has a right angle in its:

a) Interior
b) Opposite
c) Exterior
d) Congruent
19. The sum of measure of an exterior angle of a triangle is equal to sum of the measures of its opposite:

a) Exterior angles
b) Interior angles
c) Supplementary angles
d) Vertical angles
20. An obtuse angle is:

a) Less than 180°
b) Greater than 90° and less than 180°
c) Greater than 90°
d) Any measure in between zero to 90°
21. An obtuse angle triangle is that triangle which has one angle:

a) Lesser than 90°
b) Greater than 90°
c) Lesser than 180°
d) Greater than 180°
22. An acute angle is:

a) Less than 90°
b) Greater than 90°
c) Less than 180°
d) Greater than 180
23. An acute angle triangle has:

a) Three acute angles
b) Two acute and one obtuse angle
c) Two obtuse and one acute angle
d) One angle of 90 deg
24. A triangle with all equal angles is:

a) Obtuse angle triangle
b) Right angle triangle
c) Acute angle triangle
d) Equilateral angle triangle
25. All sides of an equilateral triangle are:

a) Not equal
b) Equal
c) Parallel to each other
d) Perpendicular to each other
26. The bisectors of the angles of a triangle are:

a) Concurrent
b) Parallel
c) Perpendicular
d) None of these
27. Two equal sides in an isosceles triangle are called:

a) Diameter
b) Arc
c) Legs
d) Bases
28. In an isosceles triangle, the side which is not equal to the other two sides is called:

a) The leg
b) The base
c) The arc
d) Perpendicular
29. The altitudes of a triangle which are congruent to each other are:

a) Three
b) Two
c) None of these
30. In the following isosceles triangle, red line indicates:

a) Segments
b) Legs
c) Arms
d) Base
31. In a right angle triangle which side is called hypotenuse:

a) Side along right angle.
b) Side which is opposite to right angle
c) Sides which form right angle
d) None of these
32. In the following triangle which line represents hypotenuse:
 

a) AB
b) BC
c) AC
d) All these

33. In any triangle which statement / statements are correct:

a) Sides with the same length are opposite the angles with the same measure.
b) The shortest side is opposite the smallest angle.
c) The longest side of triangle is opposite the largest angle.
d) All are correct
34. In any triangle:

a) The longest side of triangle is opposite the largest angle.
b) The longest side of triangle is opposite the smallest angle.
c) None is correct.
d) The smallest side of triangle is opposite the largest angle.
35. In any triangle sides with the same length are opposite the angles with the same measure.

a) False
b) True
36. In any triangle the longest side of triangle is opposite the smallest angle.

a) False
b) True
37. In Scalene triangle all three sides are of different lengths.

a) False
b) True
38. In Isosceles triangles two of the sides of triangle are equal in length:

a) True
b) False
39. In Equilateral triangles all three sides are equal in length.

a) True
b) False
40. In Equilateral triangles all three sides and all the angles are equal.

a) True
b) False
41. In a triangle there can be at least two:

a) Right angles
b) Obtuse angles
c) None of these
d) Acute angles
42. Which statement is correct about the classification of triangle with respect to the angles.

a) All are correct
b) Obtuse triangle: in which one angle is obtuse and two are acute.
c) Right triangle: This has one right and two acute angles.
d) Acute triangle: in which all three angles are acute.
43. In any right triangle, the sum of the measures of the two _____ angles is 900
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44. The square of the longest side of a right triangle is equal to the sum of the squares of the other two sides is known as:

a) Pythagoras Theorem
b) A Rule
c) A Concept
d) Play fair's Postulate
45. If the legs of a triangle are 1, 1 then its hypotenuse is:

a) 1
b) 4
c) None is correct
d) 2
46. An angle is called an exterior angle of a triangle if:

a) It is supplementary to the interior angle
b) It is adjacent to the interior angle
c) Both a & b are correct
d) None of these
47. The lines which bisect the sides of a triangle perpendicularly are called:

a) Line segments
b) Bisectors
c) Altitudes
d) Right bisectors
48. The perimeter of a triangle is can be obtained by:

a) Adding all sides
b) Making square of all sides then addition
c) By using Pythagoras theorem
d) All these are correct
49. Triangle in the diagram is:

a) Isosceles triangle
b) Equilateral triangle
c) Scalene triangle
d) Congruent triangle

50. The triangle shown in the diagram is a right angle triangle:
 

a) No
b) Yes

51. The triangle shown in the diagram is an:
 

a) Congruent angled triangle
b) Obtuse angle triangle
c) Opposite angle
d) Right angle triangle

52. The triangle in the diagram is:
 

a) Acute angle triangle
b) Congruent angled triangle
c) Obtuse angle triangle
d) Right angle triangle

53. If a triangle has all its sides equal then:

a) All angles will not be equal to each other
b) All angles will be equal to each other
c) Two angles will equal to each other
d) None of these
54. In the following isosceles triangle side AB and CB are:

a) Arc
b) Legs
c) Diameter
d) Bases

55. In the following isosceles triangle side AC is:
 

a) The arc
b) The base
c) The leg
d) None of these

56. The common end point of two lines is called as:

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57. In an isosceles triangle, angles formed between each leg and the base are called:

a) Perpendicular angles
b) Base angles
c) Congruent angles
d) Hypotenuse angles
58. In the following isosceles triangle, blue lines indicates:

a) Segments
b) Legs
c) Arc
d) Arms

59. In the following diagram angle ABC is called:

a) Right angle
b) None is correct
c) Vertex angle
d) Obtuse angle

60. In the following diagram Ð CAB and Ð ACB are called :

a) Right angles
b) Vertex angle
c) Base angles
d) Obtuse angles

61. In Acute angle triangle one angle is obtuse and two are acute.

a) True
b) False
62. In Obtuse angle triangle one angle is obtuse and two are acute.

a) True
b) False
63. Right angle triangle has one right angle and two acute angles.

a) False
b) True
64. If three sides of a triangle are not equal in measure the triangle is called:

a) Concurrent triangle
b) Isosceles triangle
c) Equilateral triangle
d) Scalene triangle
65. In Scalene triangle two of the sides of triangle are equal in length, the third is different.

a) True
b) False
66. In Isosceles triangles all three sides are of different lengths.

a) True
b) False
67. In Acute angle triangle all three angles are acute.

a) False
b) True
68. In Obtuse angle triangle two angles are obtuse and one is acute.

a) True
b) False
69. Right angle triangle has one right angle, one acute angle and one obtuse angle.

a) True
b) False
  
  
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