A parallelogram and a triangle are basic shapes in geometry. A parallelogram has four sides and is also known as a quadrilateral. In a parallelogram, opposite sides are parallel. A triangle, on the other hand, has three sides and angles.
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Chapter 9 Areas of Parallelogram and Triangles MCQs
1. Which of the following is not a type of triangle based on sides?
- A) Equilateral triangle
- B) Isosceles triangle
- C) Scalene triangle
- D) Acute triangle
Solution: D) Acute triangle
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2. What is the area of a parallelogram with base 6 cm and height 4 cm?
- A) 12 cm²
- B) 24 cm²
- C) 20 cm²
- D) 30 cm²
Solution: B) 24 cm²
3. In a triangle, the sum of all angles is:
- A) 90°
- B) 180°
- C) 270°
- D) 360°
Solution: B) 180°
4. What is the height of a triangle with area 36 cm² and base 9 cm?
- A) 2 cm
- B) 4 cm
- C) 6 cm
- D) 8 cm
Solution: B) 4 cm
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5. If the base of a parallelogram is 8 cm and height is 5 cm, then its area is:
- A) 40 cm²
- B) 32 cm²
- C) 30 cm²
- D) 45 cm²
Solution: A) 40 cm²
6. Which of the following is a quadrilateral?
- A) Triangle
- B) Pentagon
- C) Hexagon
- D) Rhombus
Solution: D) Rhombus
7. What is the area of a triangle with base 12 cm and height 8 cm?
- A) 48 cm²
- B) 64 cm²
- C) 96 cm²
- D) 72 cm²
Solution: A) 48 cm²
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8. The diagonals of a parallelogram bisect each other:
- A) Perpendicular
- B) At an angle
- C) Neither perpendicular nor at an angle
- D) Parallel
Solution: C) Neither perpendicular nor at an angle
9. The perimeter of an equilateral triangle with side 5 cm is:
- A) 10 cm
- B) 15 cm
- C) 20 cm
- D) 25 cm
Solution: C) 20 cm
10. What is the area of a triangle with sides 3 cm, 4 cm, and 5 cm?
- A) 6 cm²
- B) 12 cm²
- C) 8 cm²
- D) 10 cm²
Solution: B) 12 cm²
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11. The area of a rhombus with diagonals 10 cm and 12 cm is:
- A) 50 cm²
- B) 60 cm²
- C) 100 cm²
- D) 120 cm²
Solution: B) 60 cm²
12. Which of the following is a type of triangle based on angles?
- A) Acute triangle
- B) Obtuse triangle
- C) Right triangle
- D) All of the above
Solution: D) All of the above
13. The area of a triangle with sides 6 cm, 8 cm, and 10 cm is:
- A) 24 cm²
- B) 30 cm²
- C) 32 cm²
- D) 36 cm²
Solution: A) 24 cm²
14. If the area of a triangle is 25 cm² and height is 5 cm, then its base is:
- A) 10 cm
- B) 5 cm
- C) 15 cm
- D) 20 cm
Solution: A) 10 cm
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15. The diagonals of a parallelogram:
- A) Are equal
- B) Are perpendicular
- C) Bisect each other
- D) All of the above
Solution: D) All of the above
16. The area of a parallelogram with adjacent sides 6 cm and 8 cm and angle between them as 60° is:
- A) 24 cm²
- B) 30 cm²
- C) 36 cm²
- D) 48 cm²
Solution: B) 30 cm²
17. In a parallelogram, opposite angles are:
- A) Equal
- B) Supplementary
- C) Complementary
- D) None of the above
Solution: A) Equal
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18. The area of a triangle with sides 10 cm, 10 cm, and 12 cm is:
- A) 40 cm²
- B) 48 cm²
- C) 60 cm²
- D) 72 cm²
Solution: B) 48 cm²
19. The area of a rhombus with side 6 cm and height 4 cm is:
- A) 24 cm²
- B) 20 cm²
- C) 16 cm²
- D) 30 cm²
Solution: A) 24 cm²
20. If the base of a triangle is 8 cm and height is 6 cm, then its area is:
- A) 36 cm²
- B) 32 cm²
- C) 24 cm²
- D) 48 cm²
Solution: C) 24 cm²
21. The area of a parallelogram with base 10 cm and height 8 cm is:
- A) 80 cm²
- B) 64 cm²
- C) 72 cm²
- D) 60 cm²
Solution: A) 80 cm²
22. In a triangle, the altitude is:
- A) Equal to the base
- B) Perpendicular to the base
- C) Bisects the base
- D) Parallel to the base
Solution: B) Perpendicular to the base
23. The area of a triangle with sides 5 cm, 12 cm, and 13 cm is:
- A) 30 cm²
- B) 36 cm²
- C) 40 cm²
- D) 24 cm²
Solution: B) 36 cm²
24. The area of a parallelogram with base 12 cm and altitude 7 cm is:
- A) 84 cm²
- B) 90 cm²
- C) 72 cm²
- D) 60 cm²
Solution: A) 84 cm²
25. The area of a triangle with sides 8 cm, 15 cm, and 17 cm is:
- A) 60 cm²
- B) 64 cm²
- C) 72 cm²
- D) 80 cm²
Solution: A) 60 cm²
26. The area of a rhombus with diagonals 16 cm and 12 cm is:
- A) 96 cm²
- B) 120 cm²
- C) 144 cm²
- D) 160 cm²
Solution: A) 96 cm²
27. The area of a parallelogram with base 15 cm and altitude 9 cm is:
- A) 135 cm²
- B) 144 cm²
- C) 150 cm²
- D) 162 cm²
Solution: A) 135 cm²
28. In a triangle, the median is:
- A) Equal to the altitude
- B) Half of the base
- C) Bisects the opposite side
- D) Equal to the height
Solution: C) Bisects the opposite side
29. The area of a triangle with sides 7 cm, 8 cm, and 10 cm is:
- A) 24 cm²
- B) 30 cm²
- C) 28 cm²
- D) 32 cm²
Solution: A) 24 cm²
30. The area of a parallelogram with adjacent sides 10 cm and 12 cm and angle between them as 45° is:
- A) 120 cm²
- B) 100 cm²
- C) 110 cm²
- D) 90 cm²
Solution: B) 100 cm²
31. The area of a rhombus with side 10 cm and height 8 cm is:
- A) 80 cm²
- B) 64 cm²
- C) 60 cm²
- D) 100 cm²
Solution: A) 80 cm²
32. The area of a triangle with sides 9 cm, 12 cm, and 15 cm is:
- A) 54 cm²
- B) 60 cm²
- C) 72 cm²
- D) 80 cm²
Solution: B) 60 cm²
33. The area of a parallelogram with base 14 cm and altitude 10 cm is:
- A) 140 cm²
- B) 130 cm²
- C) 150 cm²
- D) 160 cm²
Solution: A) 140 cm²
34. The area of a triangle with sides 6 cm, 8 cm, and 10 cm is:
- A) 24 cm²
- B) 30 cm²
- C) 32 cm²
- D) 36 cm²
Solution: A) 24 cm²
35. The area of a rhombus with diagonals 18 cm and 24 cm is:
- A) 216 cm²
- B) 240 cm²
- C) 260 cm²
- D) 288 cm²
Solution: B) 240 cm²
36. The area of a parallelogram with base 16 cm and altitude 12 cm is:
- A) 192 cm²
- B) 180 cm²
- C) 200 cm²
- D) 210 cm²
Solution: A) 192 cm²
37. The area of a triangle with sides 10 cm, 10 cm, and 10 cm is:
- A) 50√3 cm²
- B) 75√3 cm²
- C) 25√3 cm²
- D) 100√3 cm²
Solution: C) 25√3 cm²
38. The area of a parallelogram with adjacent sides 12 cm and 14 cm and angle between them as 30° is:
- A) 150 cm²
- B) 168 cm²
- C) 180 cm²
- D) 192 cm²
Solution: B) 168 cm²
39. In a parallelogram, opposite sides are:
- A) Equal
- B) Unequal
- C) Perpendicular
- D) Parallel
Solution: A) Equal
40. The area of a triangle with base 15 cm and height 12 cm is:
- A) 90 cm²
- B) 120 cm²
- C) 180 cm²
- D) 60 cm²
Solution: B) 90 cm²
