# 50 + Quadrilateral Questions and Answers | Quantitative Aptitude

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.

## 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:

Must Read: 40 +Simple Interest Questions and Answers

## 50 + Quadrilateral Questions and Answers

1. Which of the following is NOT a quadrilateral?

A) Square

B) Triangle

C) Rectangle

D) Parallelogram

1. How many pairs of parallel sides does a trapezium have?

A) 0

B) 1

C) 2

D) 3

1. Opposite angles of a parallelogram are:

A) Equal

B) Supplementary

C) Complementary

D) None of the above

1. The sum of all angles of a quadrilateral is:

A) 90°

B) 180°

C) 270°

D) 360°

1. A rectangle is a type of:

A) Parallelogram

B) Rhombus

C) Square

D) Trapezium

1. 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°.

1. What is the area of a field that is in the shape of a rectangle having dimensions 30 meters and 50 meters?
1. 80 sq. metres
2. 160 sq. metres
3. 1500 sq. metres
4. 1600 sq. metres
5. 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

9.  If one angle of a parallelogram is 120°, then the adjacent angle is:

A) 30°

B) 60°

C) 90°

D) 120°

10. The sum of opposite angles of a parallelogram is always:

A) 90°

B) 180°

C) 270°

D) 360°

11. In a rhombus, all sides are:

A) Equal

B) Unequal

C) Parallel

D) Perpendicular

12. A parallelogram in which all angles are right angles is called a:

A) Rectangle

B) Rhombus

C) Square

D) Trapezium

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

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

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°

19. A quadrilateral with four right angles is called a:

A) Parallelogram

B) Rhombus

C) Rectangle

D) Trapezium

20. A parallelogram in which adjacent sides are equal is a:

A) Rhombus

B) Rectangle

C) Square

D) Trapezium

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

23. In a parallelogram, opposite sides are:

A) Equal

B) Unequal

C) Parallel

D) Perpendicular

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

27. If one angle of a parallelogram is 60°, then the adjacent angle is:

A) 30°

B) 60°

C) 90°

D) 120°

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

31. In a rectangle, each angle is:

A) Acute

B) Obtuse

C) Right

D) Reflex

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

34. A parallelogram with all sides equal but no right angles is a:

A) Rhombus

B) Rectangle

C) Square

D) Trapezium

35. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a:

A) Parallelogram

B) Rectangle

C) Rhombus

D) Square

36. If the diagonals of a parallelogram are equal, then the parallelogram is a:

A) Rectangle

B) Rhombus

C) Square

D) Trapezium

37. A quadrilateral with one pair of opposite sides parallel and equal is a:

A) Rhombus

B) Rectangle

C) Trapezium

D) Square

38. In a parallelogram, the sum of adjacent angles is:

A) 90°

B) 180°

C) 270°

D) 360°

39. A parallelogram with adjacent sides equal but no right angles is a:

A) Rhombus

B) Rectangle

C) Square

D) Trapezium

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°

42. If one angle of a parallelogram is 40°, then the adjacent angle is:

A) 40°

B) 50°

C) 90°

D) 140°

43. A quadrilateral with one pair of opposite sides parallel and equal is a:

A) Rhombus

B) Rectangle

C) Trapezium

D) Square

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

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

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°

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

50. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a:

A) Rectangle

B) Rhombus

C) Square

D) Trapezium

## 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

## FAQs

What if the four sides are not equal?

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.

What shape has eight sides?

In geometry, an octagon is a polygon with eight sides and angles. This signifies that an octagon has eight vertices and edges.

What shape has two equal sides?

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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