Quadrilaterals Class 9 Worksheet

Quadrilaterals Class 9 Worksheet

Quadrilaterals Class 9 Worksheet

 

Quadrilaterals Class 9 Worksheets play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of Quadrilaterals Class 9 Worksheets is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the Quadrilaterals Class 9 Worksheets. Parents and teachers can also assess the students by giving them these Quadrilaterals Class 9 Worksheets to solve.

Maths-formula brings such worksheets on Quadrilaterals Class 9 for you. By solving these Quadrilaterals Class 9 Worksheets, you can increase the understanding of the concepts learnt. These Quadrilaterals Class 9 Worksheets are prepared by experienced teachers and subject matter experts.

Thus, let us try to attempt these questions to solve and assess yourself. Parents and teachers can also give these Quadrilaterals Class 9 Worksheets to the students to test them. Unit tests can also be prepared by the teachers using these Quadrilaterals Class 9 Worksheets.


Quadrilaterals Class 9 Worksheet

 

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 ΔABC, 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.


ANSWERS

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

 

Maths Worksheets for Other Chapters of Class 9

1. Surface area and volume class 9 worksheets

2. Circles class 9 worksheets

3. Area of parallelograms and triangles worksheets

4. Triangles class 9 worksheets

5. Number system class 9 worksheets

6. Polynomials class 9 worksheets

7. Coordinate geometry class 9 worksheets

8. Linear equations in two variables class 9 worksheets

9. Introduction to Euclid’s geometry class 9 worksheets

10. Lines and angles class 9 worksheets

12. Heron’s formula class 9 worksheet

13. Statistics class 9 worksheets

14. Probability class 9 worksheet

 


Maths Worksheets for Other Classes


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