Construction Questions for Class 6

# Construction Questions for Class 6

Construction Questions for Class 6 play a vital role in strengthening the maths concepts.

Construction Questions for Class 6

1. Construct a Î”PQR. If PQ = 5.5 cm, QR = 7.5 cm and PQR = 90°.

2. Construct a circle with radius 4 cm and draw a tangent of 5.7 cm to it.

3. Construct a triangle ABC where AB = 4.2 cm, AC = 5.4 cm and BAC = 120°.

4. Draw a line segment of length 6.3 cm. Using ruler and compasses, bisect it and measure the length of each segment.

5. Draw a circle with radius 4.5 cm and draw its perpendicular bisector.

6. Construct a right-angled triangle ABC, with right angle at B, BAC = 60° and AB = 4.4 cm.

7. Draw a line AB and a construct a line CD parallel to it from point A below it using set squares.

8. Draw a line segment PQ = 9 cm. Draw a perpendicular bisector of PQ. Check the correctness of your construction.

9. Construct an incircle to an equilateral triangle with sides 5.7 cm.

10. Draw a triangle PQR, where PQ = 6.3 cm, QPR = 45° and PQR = 105°. From P, draw a perpendicular QR.

11. Draw a circle with diameter 10 cm and draw its perpendicular bisector.

12. Construct a circle with radius AB = 4.5 cm and centre A. Construct a tangent of 5.6 cm at B.

13. Draw a triangle ABC such that AB = 5.8 cm, BC = 7.6 cm and AC = 6.2 cm.

14. Use ruler and compasses to construct an angle measuring 135°.

15. Construct a triangle ABC with AB = 4.5 cm, BC = 5.9 cm and CA = 4.6 cm. Measure each angle.

16. Construct a right-angled triangle PQR in which PQ = 6.4 cm and QR = 5.2 cm.

17. Construct an isosceles triangle ABC where AB = 5.4 cm and A = 75° and B = 75°. Also, construct its circumcircle.

18. Draw a line segment PQ of length 6.4 cm and draw the perpendicular bisector and measure the length of each part.

19. Construct a Î”PQR, PQ = 4.6 cm, RPQ = 60° and RQP = 40°.

20. Construct a Î”ABC. If B = 55°, C = 60° and BC = 5.6 cm.

21. Draw a line segment of length 7.6 cm and draw another line segment parallel to it at a distance of 6.3 cm.

22. Draw a line segment AB = 6.4 cm. Draw a perpendicular bisector of AB. Check the correctness of your answer.

23. Construct an angle measuring

a. 120°

b. 75°

c. 15°

24. Construct an angle PST = 45°.

25. Draw a line segment AB = 11 cm. Draw a line parallel to AB at a distance of 5 cm using set squares.

26. Draw an angle measuring 105° and also draw its bisector? What is the measure of the angle?

27. Draw a line segment AB = 6.8 cm and draw an CAB = 45° at A using compasses and also draw its bisector.

28. Construct a Î”XYZ where XY = 5.5 cm, YZ = 6.3 cm and ZX = 7.1 cm. Then, construct its

a. circumcircle                              b. incircle

29. Using ruler and compasses, construct the following angles and name the angles.

a. 60°

b. 120°

c. 90°

30. Draw a straight angle and name it AOB.

31. Using ruler and compasses, construct PQR = 90° and bisect it. Measure and write down the magnitude of each part.

32. Construct a Î”ABC where AB = 5.8 cm, BC = 5.2 cm and BAC = 75°.

33. Construct a Î”PQR where QPR = 45°, PRQ = 60° and PR = 5.8 cm.

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