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)
