Here we are providing **Class 7 Math Important Objective** Chapter – 06 The Triangle and its Properties because its very important for Class 7 students as we all know that every board exam question has MCQs so that students should practice these questions so that students can get good marks in board. Class 7 Math Important Objective Chapter – 06 The Triangle and its Properties is an extremely important and its also a year in which students learn the fundamentals of concepts that help them lay a solid foundation for their higher education. Here we are providing in Class 7 Math Important Objective Chapter – 06 The Triangle and its Properties 60+ questions so that students practice more and more. If you want class wise Notes Then **Click Here**

## Class 7 Math Important Objective Chapter – 06 The Triangle and its Properties

1. If two sides of a triangle are not equal, the triangle is called

(a) scalene

(b) isosceles

(c) equilateral

(d) right-angled

**Ans-(a) **

2. Which is the longest side in the triangle PQR right angled at P?

(a) PQ

(b) QR

(c) PR

(d) None of these

**Ans-(b) **

3. If two sides of a triangle are equal, the triangle is called

(a) isosceles

(b) equilateral

(c) scalene

(d) right-angled

**Ans-(a) **

4. A triangle has how many sides :

(a) three

(b) five

(c) four

(d) None of these

**Ans-(a) **

5. If all the three sides of a triangle are equal, the triangle is called

(a) equilateral

(b) right-angled

(c) isosceles

(d) scalene

**Ans-(a) **

6. A triangle in which two sides are of equal lengths is called _______________.

(a) scalene

(b) acute-angled

(c) equilateral

(d) isosceles

**Ans-(d) **

7. A triangle has medians :

(a) 2

(b) 1

(c) 3

(d) None of these

**Ans-(c) **

8. If all the angles of a triangle are acute, the triangle is called

(a) obtuse-angled

(b) acute-angled

(c) right-angled

(d) none of these

**Ans-(b) **

9. ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.

(a) ∠B>∠C

(b) ∠B<∠C

(c) ∠B=∠C

(d) None of these

**Ans-(c) **

10. A triangle has altitudes :

(a) 2

(b) 3

(c) 1

(d) None of these

**Ans-(b) **

11. The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a

(a) obtuse-angled triangle

(b) right-angled triangle

(c) acute-angled triangle

(d) None of these

**Ans-(b) **

12. Find the value of x :

(a) 120°

(b) 110°

(c) 100°

(d) None of these

**Ans-(a) **

13. If one angle of a triangle measures 90°, the triangle is called

(a) acute-angled

(b) obtuse-angled

(c) right-angled

(d) none of these

**Ans-(c) **

14. ΔABC is right-angled at (C) If AC = 5 cm and BC = 12 cm find the length of A(B)

(a) 13 cm

(b) 11 cm

(c) 20 cm

(d) None of these

**Ans-(a) **

15. Find the value of y :

(a) 50°

(b) 70°

(c) 40°

(d) None of these

**Ans-(b) **

16 . If one angle of a triangle is obtuse, the triangle is called

(a) acute-angled

(b) obtuse-angled

(c) right-angled

(d) none of these

**Ans-(b) **

17. The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.

(a) greater than

(b) half

(c) less than

(d) double

**Ans-(a) **

18. Sum of three angles of a triangle is :

(a) 170°

(b) 90°

(c) 180°

(d) None of these

**Ans-(c) **

19. A/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.

(a) altitude

(b) median

(c) vertex

(d) none of these

**Ans-(b) **

20. In a right triangle, if hypotenuse is H, perpendicular is P and base is B then

(a) B² = H² + P²

(b) H² = P² + B²

(c) H² = P² – B²

(d) P² = B² + H²

**Ans-(b) **

21. How many medians can a triangle have?

(a) 1

(b) 2

(c) 3

(d) 4

**Ans-(c) **

22. The measure of each angle of an equilateral triangle is

(a) 30°

(b) 60°

(c) 90°

(d) 45°

**Ans-(b) **

23. Find the third angle of the given triangle

(a) 71°

(b) 61°

(c) 81°

(d) None of these

**Ans-(c) **

24. How many medians a triangle can have?

(a) 1

(b) 2

(c) 3

(d) none of these

**Ans-(c) **

25. Which of the following cannot be the sides of a right triangle?

(a) 2 cm, 2 cm, 4 cm

(b) 5 cm, 12 cm; 13 cm

(c) 6 cm, 8 cm, 10 cm

(d) 3 cm; 4 cm; 5 cm

**Ans-(a) **

26. Find the unknown x in the following diagram

(a) 60°

(b) 30°

(c) 90°

(d) None of these

**Ans-(a) **

27. Which is the longest side of triangle ABC right angled at A

a).AC

(b) BC

(c) AB

(d) None of these

**Ans-(b) **

28. Which is the longest side of a right triangle?

(a) Base

(b) Perpendicular

(c) Hypotenuse

(d) None of these

**Ans-(c) **

29. Find the value of x in the given diagram :

(a) 65°

(b) 50°

(c) 70°

(d) None of these

**Ans-(a) **

30. One of the angles of a triangle is 74 and the other two angles are equal. Find the measure of each of the equal angles

(a) 58°

(b) 100°

(c) 53°

(d) 116°

**Ans-(c) **

31. The total measure of the three angles of a triangle is

(a) 360°

(b) 90°

(c) 180°

(d) none of these

**Ans-(c) **

32. How many altitudes can a triangle have?

(a) 1

(b) 2

(c) 3

(d) None of these

**Ans-(c) **

33. Which of the following can be the sides of a right triangle.

(a) 4cm, 5cm, 6cm

(b) 2.5cm, 6cm, 1.5cm.

(c) 1.5cm, 2cm, 2.5cm

(d) 5cm, 6cm, 7cm

**Ans-(c) **

34. Which is the longest side in the triangle ABC right angled at B?

(a) AB

(b) AC

(c) BC

(d) None of these

**Ans-(b) **

35. Find the value of x in the given diagram :

(a) 4°

(b) 60°

(c) 80°

(d) None of these

**Ans-(b) **

36. One of the exterior angles of a triangle is 72°and its interior opposite angles are in the ratio 4:5. The angles of the triangle are.

(a) 32°, 40°

(b) 30°, 42°

(c) 28°, 44°

(d) 50°, 22°

**Ans-(a) **

37. If the angles of a triangle are in the ratio 4:5:9. Find all the angles of a the triangle

(a) 40 deg, 50 deg , 90 deg

(b) 90 deg, 72 deg, 18 deg

(c) 9 deg, 90 deg, 55 deg

(d) 45 deg, 60 deg, 18 deg

**Ans-(a) **

38. Find the value of x and y in the following diagram

(a) (60, 70)

(b) (50, 70)

(c) (70, 60)

(d) None of these

**Ans-(c) **

39. The perpendicular line segment from a vertex of a triangle to its opposite side is called

(a) Median

(b) diagonal

(c) Base

(d) Altitude

**Ans-(d) **

40. One of the angles of a triangle is 110° and the other two angles are equal what is the measure of each of these equal angles

(a) 35°,35°

(b) 40° , 40°

(c) 11°, 11°

(d) 80° , 80°

**Ans-(a) **

41. Find the value of x and y in the following diagram

(a) (110, 70)

(b) 70, 110)

(c) (60, 120)

(d) none of these

**Ans-(a) **

42. Which is the longest side in the triangle PQR right angled at P?

(a) PQ

(b) QR

(c) PR

(d) None of these

**Ans-(b) **

43. Two angles of a triangle measure 90° and 30°. The measure of the third angle is

(a) 90°

(b) 30°

(c) 60°

(d) 120°

**Ans-(c) **

44. Find the value of x and y in the following diagram :

(a) (60,90)

(b) (90,60)

(c) (60,60)

(d) none of these

**Ans-(a) **

45. If an exterior angle of a triangle is 108° and one of the interior opposite angle is 38°. The other interior opposite angle is

(a) 138°

(b) 70°

(c) 60°

(d) 80°

**Ans-(b) **

46. In a ΔABC,which of the given condition holds?

(a) AB−BC>CA

(b) AB+BC<CA

(c) AB−BC<CA

(d) AB+CA<BC

**Ans-(c) **

47. In the following figure, m || QR. Then, the measure of ∠QPR is

(a) 80°

(b) 85°

(c) 75°

(d) 70°

**Ans-(b) **

48. Find the angle x in given diagram :

(a) 30°

(b) 60°

(c) 40°

(d) none of these

**Ans-(c) **

49. In the Pythagoras property, the triangle must be ___________ .

(a) obtuse-angled

(b) acute-angled

(c) right-angled

(d) none of these

**Ans-(c) **

50. Which one is possible to have a triangle from the following measures

(a) 6cm, 3cm, 2cm

(b) 5.5cm, 2.5cm, 2.5cm

(c) 3cm, 6cm, 7cm

(d) 2cm, 8cm, 3cm

**Ans-(c) **

51. Find the angle x in the given diagram

(a) 40°

(b) 50°

(c) 80°

(d) none of these

**Ans-(a) **

52. In a ΔABC, which of the given condition holds?

(a) AB − BC > CA

(b) AB + BC < CA

(c) AB − BC < CA

(d) AB + CA < BC

**Ans-(c) **

53. ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.

(a) 8 cm

(b) 5 cm

(c) 7 cm

(d) 3 cm

**Ans-(b) **

54. If two sides of a triangle are added then the result is :

(a) greater than third

(b) less than third

(c) equal to third

(d) none of these

**Ans-(a) **

55. In a ΔABC,if AB+BC = 10 cm, BC+CA = 12 cm,CA+AB = 16 cm, then the perimeter of the triangle is ____.

(a) 19cm

(b) 17cm

(c) 28cm

(d) 22cm

**Ans-(a) **

56. How many elements are there in a triangle?

(a) 3

(b) 6

(c) 4

(d) None of these.

**Ans-(b) **

57. In a ΔABC, if AB+BC = 10 cm, BC+CA = 12 cm, CA+AB = 16 cm, then the perimeter of the triangle is ____.

(a) 19cm

(b) 17cm

(c) 28cm

(d) 22cm

**Ans-(a) **

58. How many vertices does a triangle have?

(a) 1

(b) 2

(c) 3

(d) 4

**Ans-(c) **

58. Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the fiel(d)

(a) 150 cm

(b) 140 cm

(c) 130cm

(d) 120cm

**Ans-(b) **

59. If two sides of a triangle are not equal the triangle is called

(a) scalene

(b) isosceles

(c) equilateral

(d) right-angled

**Ans-(a) **

60. How many sides are there in a triangle?

(a) 1

(b) 2

(c) 3

(d) 4

**Ans-(c) **

61. In the Pythagoras property, the triangle must be ___________ .

(a) obtuse-angled

(b) acute-angled

(c) right-angled

(d) none of these

**Ans-(c) **

62. How many angles are there in a triangle?

(a) 1

(b) 2

(c) 3

(d) 4

**Ans-(c) **