Quadrilaterals Class 9 Worksheet helps to assess the students of grade 9.

1. If one angle of a parallelogram is 105°, find the other angles.

2. If the angles of a quadrilateral are 4x, 3x + 10°, 2x + 10° and 4x + 15°, then find all the angles.

3. If the angles of a quadrilateral are in the ratio 5 : 4 : 3 : 6, then find the angles.

4. Three angles of a quadrilateral are 45°, 60°, 100°. Find the fourth angle.

5. If two angles of a quadrilateral are 66° and 70° and the measure of other two angles are equal, then find the angles.

6. Two angles of a quadrilateral are 75° and 45°. If the measures of other two angles are in the ratio 5 : 7, then find the measure of each angle.

7. ABCD is a quadrilateral in which the bisectors of B and C meet at O. If A = 100° and D = 70°, find the measure of BOC.

8. A quadrilateral has three interior angles each equal to 75°. Find the measure of the fourth interior angle.

9. The perimeter of a parallelogram is 60 cm. If the ratio of two of its sides is 3 : 2, find the length of its sides.

10. Two adjacent angles of a parallelogram are in the ratio 1 : 2. Find the angles.

11. If the sum of one pair of opposite angles of a parallelogram is 200°, find the angles of the parallelogram.

12. The perimeter of a parallelogram is 100 cm. If one side is 10 cm longer than the other, find the sides of the parallelogram.

13. In the given figure, PQRS is a rectangle. Find the value of x, y and z.

14. Three angles of a quadrilateral are in the ratio 4 : 6 : 5. If the measure of fourth angle is 60°, find all the angles.

15. The perimeter of a kite is 106 cm. If one of its sides is 23 cm, find the lengths of the other three sides.

16. In the following figure, PQRS is a parallelogram. Find each angle of the parallelogram marked with a letter.

17. Two consecutive angles of a parallelogram are in the ratio 2 : 3. Find the smaller angle.

18. If ABCD is rectangle with BAC = 32°, find the measure of DBC.

19. The diagonal of a rectangle ABCD intersect at the point O. If BOC = 50°, then find OAD.

20. E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.

21. Show that the line segment joining the mid-points of the opposite sides of a quadrilateral bisect each other.

22. The parallel sides of a trapezium are 7 cm and 5 cm respectively. Find the line segment joining the mid-points of its non-parallel sides.

23. In Î”ABC, D and E are the mid-points of AB and AC respectively and DE = 5.6 cm. Find the length of BC.

24. A diagonal of a parallelogram bisect one of its angles. Show that it’s a rhombus.

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

26. In a parallelogram ABCD, bisectors of A and B intersect at a point P. Find APB.

27. If the diagonals of a rhombus are 18 cm and 24 cm respectively, then find its sides.

28. ABCD is a trapezium in which AB||CD and AD = BC. Show that A = B.

1. 75°, 105°, 75°, 105°

2. 100°, 85°, 60°, 115°

3. 100°, 80°, 60°, 120°

4. 155°

5. 112°, 112°

6. 100°, 140°

7. 85°            8. 135°

9. 18 cm, 12 cm, 18 cm, 12 cm

10. 60°, 120°

11. 100°, 80°, 100°, 80°

12. 20 cm, 30 cm

13. x = 60°, y = -1, z = 60°

14. 80°, 120°, 100°

15. 30 cm, 23 cm, 30 cm

16. x = 110°, y = 40°, z = 30°, t = 40°

17. 72°               18. 58°

19. 65°

20. Do it yourself

21. Do it yourself

22. 6 cm           23. 11.2 cm

24. Do it yourself

25. 72°             26. 90°

27. 15 cm

28. Do it yourself

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