QUADRILATERALS NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)


Q1. Which of the following is not a parallelogram?

  1. Rhombus
  2. Rectangle
  3. Trapezium
  4. Square

Q2. If an angle of a parallelogram is four-fifths of the adjacent angle, then the angles of the parallelogram are

  1. 60o, 120o, 60o, 120o
  2. 80o, 100o, 80o, 100o
  3. 45o, 135o, 45o, 135o
  4. 40o, 140o, 40o, 140o

Q3. The opposite angles of a parallelogram are (3x – 2)o and (50 – x)o the measure of these angles is ______.

  1. 140o, 140o
  2. 37o, 37o
  3. 37o, 143o
  4. 20o, 160o

Q4. Choose the correct statement

  1. Every parallelogram is a rhombus
  2. Every parallelogram is a trapezium
  3. Every parallelogram is a rectangle
  4. Every rectangle is a square

Q5. Statement 1:     AB||DC and AD||BC and Statement 2:     AB=DC and AD=BC For a quadrilateral ABCD to be a parallelogram,__________

  1. Either Statement 1 or Statement 2 should be true
  2. Both Statement 1 and Statement 2 should be true .
  3. Only Statement 1 should be true.
  4. Only Statement 2 should be true

Q6. The quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a rectangle is a

  1. Square
  2. Trapezium
  3. Rhombus
  4. Rectangle

Q7. The figure formed by joining the mid points of consecutive sides of a quadrilateral is

  1. Isosceles triangle
  2. Parallelogram
  3. Trapezium
  4. Square

Q8. The angles of a quadrilateral are in the ratio 2 : 3 : 6 : 7. The largest angle of quadrilateral is:

  1. 40o
  2. 120o
  3. 140o
  4. 160o

Q9. The opposite angles of a parallelogram are (3x – 2)o and (50 – x)o the measure of these angles is

  1. 140o, 140o
  2. 37o, 37o
  3. 37o, 143o
  4. 20o, 160o

Q10. A quadrilateral is a ______ if a pair of opposite sides is equal and parallel

  1. Rectangle
  2. Square
  3. Parallelogram
  4. Rhombus

Q11. Two adjacent angles of a parallelogram are in the ratio 2: 3, the measure of angles will be

  1. 72o, 108o, 72o, 108o
  2. 80o, 100o, 80o, 100o
  3. 70o, 110o, 70o, 110o
  4. 90o, 90o, 90o, 90o

Q12. If APB and CQD are parallel lines and a transversal PQ cut them at P and Q, then the bisectors of angles APQ, BPQ, CQP and PQD form a

  1. Rectangle
  2. Rhombus
  3. Square
  4. Any other parallelogram

Q13. The angles of a quadrilateral are in the ratio 3:5:9:13 . The measure of  angles of quadrilateral are:

  1. 36°, 60°, 108° and 156°
  2. 36°, 54°, 140° and 250°
  3. 85°, 50°, 200° and 40°
  4. 40°, 80°, 150° and 120°

Q14. All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it?

  1. Parallelogram
  2. Square
  3. Rectangle
  4. Trapezium

Q15. The length of the diagonal of the square is 10 cm. The area of the square is:

  1. 20 cm2
  2. 100 cm2
  3. 50 cm2
  4. 70 cm2

Q16. The angles of a quadrilateral are 2a, 4a, 7a and 5a. The measure of  angles of quadrilateral are:

  1. 40o, 80o, 140o and 100o
  2. 36o, 54o, 140o and 250o
  3. 85o, 50o, 200o and 40o
  4. 40o, 80o, 150o and 120o

Q17. If the three angles of a quadrilateral are 70o, 95o and 105o, then the fourth angle is:

  1. 90o
  2. 100o
  3. 110o
  4. 85o

Q18. If every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral is a

  1. Square or a Rhombus
  2. Rhombus only
  3. Square only
  4. Rectangle or a trapezium

Q19. Diagonals of a quadrilateral are of lengths 10 cm and 24 cm. If the diagonals bisect each other at right angles, then the length of each side is

  1. 16 cm
  2. 12 cm.
  3. 18 cm
  4. 13 cm.

Q20. Bisectors of angles of a parallelogram form a

  1. Rhombus
  2. Square
  3. Rectangle
  4. Trapezium

Q21. Choose the correct statement

  1. If one pair of opposite sides of a quadrilateral are parallel the quadrilateral is called a parallelogram.
  2. The diagonals of a parallelogram are congruent, if it is a rectangle.
  3. A trapezoid is a parallelogram.
  4. Diagonals of a square are not equal.

Q22. Two consecutive angles of parallelogram are in the ratio 1 : 3, then the measure of the smaller angle is:

  1. 50o
  2. 90o
  3. 60o
  4. 45o

Q23. Which of the following is not true for a parallelogram?

  1. Opposite sides are equal
  2. Opposite angles are equal
  3. Opposite angles are bisected by diagonals
  4. Diagonals bisect each other

Q24. The angles of a quadrilateral are (5x)o, (3x + 10)o, (6x – 20)o and (x + 25)o. Now, the measure of each angle of the quadrilateral will be

  1. 115o, 79 o, 118 o, 48 o
  2. 100o, 79 o, 118 o, 63 o
  3. 75o, 89 o, 128 o, 68 o
  4. 110o, 84o, 106o, 60o

Q25. In a quadrilateral PQRS, the angles P, Q, R and S are in the ratio 2 : 3 : 5 : 5. The measures of each angle are:

  1. 72°, 48°, 125° and 135°
  2. 24°, 96°, 240° and 120°
  3. 72°, 96°, 120° and 100°
  4. 48°, 72°, 120° and 120°

Q26. Three angles of a quadrilateral are 60o, 110o and 86o, the fourth angle of the quadrilateral is:

  1. 104o
  2. 124o
  3. 94o
  4. 84o

Q27. Each diagonal of a parallelogram divides it into two

  1. Triangles
  2. Equilateral triangles
  3. Right triangles
  4. Congruent triangles.

Q28. In a parallelogram the sum of two adjacent angles is

  1. 180o
  2. 90o
  3. 360o
  4. 100o

Q29. One angle of a parallelogram is 30o less than twice the smallest angle then the measure of each angle of the parallelogram is

  1. 40o, 140o, 40o, 140o
  2. 70o, 110o, 70o, 110o
  3. 120o, 60o, 120o, 60o
  4. 100o, 80o, 100o, 80o

Q30. Which of the given statements is incorrect

  • Diagonals of the parallelogram bisect each other.
  • If the Diagonals of a quadrilateral bisect each other,it is a parallelogram.
  • Diagonals of a parallelogram are equal.
  • Diagonals of the parallelogram are perpendicular to each other
  1. Statements 3 and 4
  2. Statements 2 and 4
  3. Statement 4
  4. Statement 3

Q31. Three angles of a quadrilateral are 70o, 120o and 65o. The fourth angle of the quadrilateral is :

  1. 95o
  2. 75o
  3. 105o
  4. 90o

Q32. The diagonals of rhombus are 12 cm and 16 cm. The length of the side of rhombus is:

  1. 10 cm
  2. 12 cm
  3. 16 cm
  4. 8 cm

Q33. Which of the following statements is correct with respect to a parallelogram?

  • Diagonals bisect each other.
  • Adjacent angles are supplementary.
  • Opposite sides are equal.
  • Opposite sides are parallel
  1. Statement 1 only
  2. Statements 1,2,3 and 4
  3. Statements 3 and 4
  4. Statements 1 and 4

Q34. Sum of the angles of a quadrilateral is

  1. 180o
  2. 540o
  3. 360o
  4. 90o

Q35. Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be:

  1. 3 cm
  2. 2.5 cm
  3. 6.5 cm
  4. 4.5 cm

Q36. The diagonal of a square is 10 cm. Its area is:

  1. 20 cm2
  2. 25 cm2
  3. 50 cm2
  4. 100 cm2

Q37. In quadrilateral PQRS, the diagonals are equal and intersect each other at right angles. Then, quadrilateral PQRS is a

  1. Rectangle
  2. Parallelogram
  3. Rhombus
  4. Square

Q38. Two angles of a quadrilateral are 50o and 80o and other two angles are in the ratio 8 : 15. Find the measure of the remaining two angles.

  1. 140o, 90o
  2. 100o, 130o
  3. 80o, 1500
  4. 70o, 160o

Q39. Which of the following is not a parallelogram?

  1. Trapezium
  2. Square
  3. Rectangle
  4. Rhombus

Q40. Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be

  1. 3.0cm.
  2. 2.5cm
  3. 6.5 cm
  4. 4.5cm

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