Chapter 8 – Quadrilaterals

1. A diagonal of a Rectangle is inclines to one side of the rectangle at an angle of 25°. The Acute Angle between the diagonals is :

2. The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?

3. If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is

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

5. In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is a

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

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

8. In quadrilateral PQRS, if ∠P = 60° and ∠Q : ∠R : ∠S = 2 : 3 : 7, then ∠S =

9. In parallelogram ABCD, if ∠A = 2x + 15°, ∠B = 3x – 25°, then value of x is:

10. If ABCD is a trapezium in which AB || CD and AD = BC, then:

11. The diagonals of a parallelogram:

12. The sum of all the angles of a quadrilateral is equal to:

13. If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is:

14. In a parallelogram ABCD, if ∠A = 75°, then ∠B = ?

15. Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :

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

17. If ABCD is a Parallelogram with 2 Adjacent angles ∠A =∠B, then the parallelogram is a

18. Which of the following is not a parallelogram?

19. In a parallelogram the sum of two consecutive angles is

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

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

22. The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32°, ∠AOB = 70°, then ∠DBC is equal to:

23. Each angle of rectangle is:

24. A diagonal of a parallelogram divides it into two congruent:

25. The quadrilateral whose all its sides are equal and angles are equal to 90 degrees, it is called:

26. The sum of all the angles of a quadrilateral is equal to:

27. A trapezium has:

28. A rhombus can be a:

29. A diagonal of a parallelogram divides it into two congruent:

30. In a parallelogram, opposite angles are: