Q1. Which of the following is not a parallelogram?

- Rhombus
- Rectangle
- Trapezium
- Square

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

- 60
^{o}, 120^{o}, 60^{o}, 120^{o} - 80
^{o}, 100^{o}, 80^{o}, 100^{o} - 45
^{o}, 135^{o}, 45^{o}, 135^{o} - 40
^{o}, 140^{o}, 40^{o}, 140^{o}

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

- 140
^{o}, 140^{o} - 37
^{o}, 37^{o} - 37
^{o}, 143^{o} - 20
^{o}, 160^{o}

**Q4. Choose the correct statement**

- Every parallelogram is a rhombus
- Every parallelogram is a trapezium
- Every parallelogram is a rectangle
- 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,__________**

- Either Statement 1 or Statement 2 should be true
- Both Statement 1 and Statement 2 should be true .
- Only Statement 1 should be true.
- 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**

- Square
- Trapezium
- Rhombus
- Rectangle

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

- Isosceles triangle
- Parallelogram
- Trapezium
- Square

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

- 40
^{o} - 120
^{o} - 140
^{o} - 160
^{o}

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

- 140
^{o}, 140^{o} - 37
^{o}, 37^{o} - 37
^{o}, 143^{o} - 20
^{o}, 160^{o}

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

- Rectangle
- Square
- Parallelogram
- Rhombus

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

- 72
^{o}, 108^{o}, 72^{o}, 108^{o} - 80
^{o}, 100^{o}, 80^{o}, 100^{o} - 70
^{o}, 110^{o}, 70^{o}, 110^{o} - 90
^{o}, 90^{o}, 90^{o}, 90^{o}

**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**

- Rectangle
- Rhombus
- Square
- Any other parallelogram

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

- 36
^{°}, 60^{°}, 108^{°}and 156^{°} - 36
^{°,}54^{°}, 140^{°}and 250^{°} - 85
^{°,}50^{°}, 200^{°}and 40^{°} - 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?**

- Parallelogram
- Square
- Rectangle
- Trapezium

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

- 20 cm
^{2} - 100 cm
^{2} - 50 cm
^{2} - 70 cm
^{2}

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

- 40
^{o}, 80^{o}, 140^{o}and 100^{o} - 36
^{o}, 54^{o}, 140^{o}and 250^{o} - 85
^{o}, 50^{o}, 200^{o}and 40^{o} - 40
^{o}, 80^{o}, 150^{o}and 120^{o}

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

- 90
^{o} - 100
^{o} - 110
^{o} - 85
^{o}

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

- Square or a Rhombus
- Rhombus only
- Square only
- 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**

- 16 cm
- 12 cm.
- 18 cm
- 13 cm.

**Q20. Bisectors of angles of a parallelogram form a**

- Rhombus
- Square
- Rectangle
- Trapezium

**Q21. Choose the correct statement**

- If one pair of opposite sides of a quadrilateral are parallel the quadrilateral is called a parallelogram.
- The diagonals of a parallelogram are congruent, if it is a rectangle.
- A trapezoid is a parallelogram.
- 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:**

- 50
^{o} - 90
^{o} - 60
^{o} - 45
^{o}

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

- Opposite sides are equal
- Opposite angles are equal
- Opposite angles are bisected by diagonals
- 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**

- 115
^{o}, 79^{ o}, 118^{ o}, 48^{ o} - 100
^{o}, 79^{ o}, 118^{ o}, 63^{ o} - 75
^{o}, 89^{ o}, 128^{ o}, 68^{ o} - 110
^{o}, 84^{o}, 106^{o}, 60^{o}

**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:**

- 72°, 48°, 125° and 135°
- 24°, 96°, 240° and 120°
- 72°, 96°, 120° and 100°
- 48°, 72°, 120° and 120°

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

- 104
^{o} - 124
^{o} - 94
^{o} - 84
^{o}

**Q27. Each diagonal of a parallelogram divides it into two**

- Triangles
- Equilateral triangles
- Right triangles
- Congruent triangles.

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

- 180
^{o} - 90
^{o} - 360
^{o} - 100
^{o}

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

- 40
^{o}, 140^{o}, 40^{o}, 140^{o} - 70
^{o}, 110^{o}, 70^{o}, 110^{o} - 120
^{o}, 60^{o}, 120^{o}, 60^{o} - 100
^{o}, 80^{o}, 100^{o}, 80^{o}

**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**

- Statements 3 and 4
- Statements 2 and 4
- Statement 4
- Statement 3

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

- 95
^{o} - 75
^{o} - 105
^{o} - 90
^{o}

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

- 10 cm
- 12 cm
- 16 cm
- 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**

- Statement 1 only
- Statements 1,2,3 and 4
- Statements 3 and 4
- Statements 1 and 4

**Q34. Sum of the angles of a quadrilateral is**

- 180
^{o} - 540
^{o} - 360
^{o} - 90
^{o}

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

- 3 cm
- 2.5 cm
- 6.5 cm
- 4.5 cm

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

- 20 cm
^{2} - 25 cm
^{2} - 50 cm
^{2} - 100 cm
^{2}

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

- Rectangle
- Parallelogram
- Rhombus
- Square

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

- 140
^{o}, 90^{o} - 100
^{o}, 130^{o} - 80
^{o}, 150^{0} - 70
^{o}, 160^{o}

**Q39. Which of the following is not a parallelogram?**

- Trapezium
- Square
- Rectangle
- 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**

- 3.0cm.
- 2.5cm
- 6.5 cm
- 4.5cm