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Quadrilateral questions are an important part of quantitative aptitude section in taking competitive or standardised tests. The fundamental reason for this is that knowing a concept is easier than using it to answer problems.To assist you with the application of quadrilateral properties, we have included 50+ quadrilateral questions and answers in this post.
Start your preparation by solving these questions. In this blog, we will go over the fundamentals of quadrilateral problems, as well as the types of questions asked in previous year exams and how to approach them. This will help you clear your basics and answer these quadrilateral questions.
Table of Contents
What is Quadrilateral? What are Quadrilateral Problems?
A quadrilateral is a plane shape with four sides (edges) and four corners (vertices). The quadrilateral’s angles can be found at its four vertices or corners. In a quadrilateral ABCD, the angles at the vertices are A, B, C, and D, respectively. The sides of a quadrilateral are AB, BC, CD and DA.
Quadrilateral Formulas for Different Quadrilateral Types
Here we have mentioned some of the important quadrilateral formulas for different quadrilateral types:
| Quadrilateral Type | Quadrilateral Formula |
| Square | = s x s, s is the side. |
| Rectangle | = l × b |
| Rhombus | = d1 x d2/2d1 and d2 are diagonals. |
| Parallelogram | = b × h |
| Trapezium | = [(a + b)h]/2 |
| Isosceles Trapezium | = [(a + b)h]/2 |
| Kite | = d1 x d2/2d1 and d2 are diagonals. |
Must Read: 40 +Simple Interest Questions and Answers
50 + Quadrilateral Questions and Answers
- Which of the following is NOT a quadrilateral?
A) Square
B) Triangle
C) Rectangle
D) Parallelogram
Answer: B) Triangle
- How many pairs of parallel sides does a trapezium have?
A) 0
B) 1
C) 2
D) 3
Answer: B) 1
- Opposite angles of a parallelogram are:
A) Equal
B) Supplementary
C) Complementary
D) None of the above
Answer: A) Equal
- The sum of all angles of a quadrilateral is:
A) 90°
B) 180°
C) 270°
D) 360°
Answer: D) 360°
- A rectangle is a type of:
A) Parallelogram
B) Rhombus
C) Square
D) Trapezium
Answer: A) Parallelogram
- 3 angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
Solution:
Given,
The 3 angles are 110°, 50° and 40°
Let, the fourth angle be ‘x’
Sum of all angles of a quadrilateral = 360°
110° + 50° + 40° + x = 360°
200° + x = 360°
x = 360° − 200°
x = 160°
Hence, the required fourth angle is 160°.
- What is the area of a field that is in the shape of a rectangle having dimensions 30 meters and 50 meters?
- 80 sq. metres
- 160 sq. metres
- 1500 sq. metres
- 1600 sq. metres
- 3000 sq. metres
Answer: C) 1500 sq. metres
8. In a parallelogram, consecutive angles are:
A) Equal
B) Supplementary
C) Complementary
D) None of the above
Answer: B) Supplementary
9. If one angle of a parallelogram is 120°, then the adjacent angle is:
A) 30°
B) 60°
C) 90°
D) 120°
Answer: B) 60°
10. The sum of opposite angles of a parallelogram is always:
A) 90°
B) 180°
C) 270°
D) 360°
Answer: B) 180°
11. In a rhombus, all sides are:
A) Equal
B) Unequal
C) Parallel
D) Perpendicular
Answer: A) Equal
12. A parallelogram in which all angles are right angles is called a:
A) Rectangle
B) Rhombus
C) Square
D) Trapezium
Answer: C) Square
13. Diagonals of a rectangle:
A) Are equal
B) Bisect each other
C) Are perpendicular
D) All of the above
Answer: D) All of the above
14. A quadrilateral with one pair of opposite sides parallel is a:
A) Rhombus
B) Rectangle
C) Trapezium
D) Square
Answer: C) Trapezium
15. In a parallelogram, diagonals:
A) Are equal
B) Are unequal
C) Bisect each other
D) Are perpendicular
Answer: C) Bisect each other
16. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a:
A) Square
B) Rectangle
C) Rhombus
D) Parallelogram
Answer: D) Parallelogram
17. Which of the following is NOT a property of a rhombus?
A) All sides are equal
B) Opposite angles are equal
C) Diagonals are equal
D) Diagonals bisect each other at right angles
Answer: B) Opposite angles are equal
18. The sum of adjacent angles of a parallelogram is:
A) 90°
B) 180°
C) 270°
D) 360°
Answer: B) 180°
19. A quadrilateral with four right angles is called a:
A) Parallelogram
B) Rhombus
C) Rectangle
D) Trapezium
Answer: C) Rectangle
20. A parallelogram in which adjacent sides are equal is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: B) Rectangle
21. The diagonals of a square:
A) Are equal and bisect each other at right angles
B) Are equal and bisect each other
C) Are unequal and bisect each other
D) Are unequal and bisect each other at right angles
Answer: A) Are equal and bisect each other at right angles
22. If the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a:
A) Square
B) Rectangle
C) Rhombus
D) Parallelogram
Answer: A) Square
23. In a parallelogram, opposite sides are:
A) Equal
B) Unequal
C) Parallel
D) Perpendicular
Answer: A) Equal
24. The diagonals of a rhombus:
A) Are equal
B) Bisect each other at right angles
C) Are equal and bisect each other at right angles
D) Are unequal and bisect each other at right angles
Answer: C) Are equal and bisect each other at right angles
25. The diagonals of a trapezium:
A) Are equal
B) Bisect each other
C) Are unequal
D) Are perpendicular
Answer: B) Bisect each other
26. A quadrilateral with both pairs of opposite sides parallel and equal is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: C) Square
27. If one angle of a parallelogram is 60°, then the adjacent angle is:
A) 30°
B) 60°
C) 90°
D) 120°
Answer: B) 60°
28. A trapezium with non-parallel sides of equal length is called an:
A) Isosceles trapezium
B) Equilateral trapezium
C) Right trapezium
D) Scalene trapezium
Answer: A) Isosceles trapezium
29. In a parallelogram, the diagonals:
A) Are perpendicular
B) Bisect each other
C) Are equal
D) All of the above
Answer: D) All of the above
30. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a:
A) Rectangle
B) Rhombus
C) Square
D) Trapezium
Answer: A) Rectangle
31. In a rectangle, each angle is:
A) Acute
B) Obtuse
C) Right
D) Reflex
Answer: C) Right
32. A trapezium with non-parallel sides of equal length is called an:
A) Isosceles trapezium
B) Equilateral trapezium
C) Right trapezium
D) Scalene trapezium
Answer: A) Isosceles trapezium
33. A parallelogram with equal adjacent sides but no right angles is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: A) Rhombus
34. A parallelogram with all sides equal but no right angles is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: A) Rhombus
35. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a:
A) Parallelogram
B) Rectangle
C) Rhombus
D) Square
Answer: A) Parallelogram
36. If the diagonals of a parallelogram are equal, then the parallelogram is a:
A) Rectangle
B) Rhombus
C) Square
D) Trapezium
Answer: B) Rhombus
37. A quadrilateral with one pair of opposite sides parallel and equal is a:
A) Rhombus
B) Rectangle
C) Trapezium
D) Square
Answer: C) Trapezium
38. In a parallelogram, the sum of adjacent angles is:
A) 90°
B) 180°
C) 270°
D) 360°
Answer: B) 180°
39. A parallelogram with adjacent sides equal but no right angles is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: A) Rhombus
40. In a trapezium, the diagonals:
A) Are perpendicular
B) Bisect each other
C) Are equal
D) Are parallel
Answer: B) Bisect each other
41. The sum of interior angles of a quadrilateral is:
A) 90°
B) 180°
C) 270°
D) 360°
Answer: D) 360°
42. If one angle of a parallelogram is 40°, then the adjacent angle is:
A) 40°
B) 50°
C) 90°
D) 140°
Answer: B) 50°
43. A quadrilateral with one pair of opposite sides parallel and equal is a:
A) Rhombus
B) Rectangle
C) Trapezium
D) Square
Answer: C) Trapezium
44. The diagonals of a rectangle are:
A) Equal and bisect each other at right angles
B) Equal and bisect each other
C) Unequal and bisect each other at right angles
D) Unequal and bisect each other
Answer: A) Equal and bisect each other at right angles
45. A parallelogram with all sides equal and diagonals bisecting each other at right angles is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: C) Square
46. If the diagonals of a parallelogram are equal and bisect each other, then it is a:
A) Square
B) Rectangle
C) Rhombus
D) Parallelogram
Answer: C) Rhombus
47. A trapezium with both pairs of adjacent sides equal is a:
A) Isosceles trapezium
B) Equilateral trapezium
C) Right trapezium
D) Scalene trapezium
Answer: A) Isosceles trapezium
48. In a parallelogram, the sum of opposite angles is:
A) 90°
B) 180°
C) 270°
D) 360°
Answer: B) 180°
49. A parallelogram with adjacent sides equal and diagonals bisecting each other at right angles is a:
A) Rhombus
B) Rectangle
C) Square
D) Trapezium
Answer: B) Rectangle
50. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a:
A) Rectangle
B) Rhombus
C) Square
D) Trapezium
Answer: A) Rectangle
Tips to Solve Quadrilateral Questions
Following are some tips to solve quadrilateral questions-
- Identify the type of Quadrilateral
- Find the dimensions of your Quadrilateral
- Calculate the area of the Quadrilateral
- Look for missing values
Also Read: 30+ Numerical Aptitude Questions For All Competitive Exams
Related Posts
FAQs
An irregular four-sided shape is known as an irregular quadrilateral. An irregular quadrilateral differs from a regular one in that not all of its sides are the same length.
In geometry, an octagon is a polygon with eight sides and angles. This signifies that an octagon has eight vertices and edges.
Euclid defined an isosceles triangle as one with exactly two equal sides, although contemporary definitions require at least two equal sides.
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