Constructions (Class-9,Math)

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1. If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?

 
 
 

2. With the help of a ruler and compasses, which of the following is not possible to construct?

 
 
 

3. Which of the following sets of angles can be the angles of a triangle?

 
 
 

4. The construction of the triangle ABC is possible if it is given that BC = 4 cm, ∠C = 60° and the difference of AB and AC is

 
 
 
 

5. Which of the following can be the length of BC required to construct the triangle ABC such that AC = 7.4 cm and AB = 5 cm?

 
 
 

6. If we want to construct a triangle, given its perimeter, then we need to know:

 
 
 
 

7. To construct a bisector of a given angle, we need:

 
 
 
 

8. Which of the following set of lengths can be the sides of a triangle?

 
 
 
 

9. Which of these angles cannot be constructed using ruler and compasses?

 
 
 
 

10. Which of the following angles can be constructed using ruler and compasses?

 
 
 
 

11. With the help of a ruler and compasses which of the following is not possible to construct?

 
 
 

12. If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then find the measure of ∠c.

 
 
 

13. Which of the following set of lengths can be the sides of a triangle?

 
 
 

14. The construction of a triangle ΔABC in which BC = 6 cm, ∠A = 50° is not possible, when difference of BC and AC is equal to

 
 
 

15. Which of the following angle can be constructed with the help of a ruler and a pair of compasses?

 
 
 
 

16. To construct an angle of 60 degrees, we need to draw first:

 
 
 
 

17. The side lengths 4 cm, 4 cm and 4 cm can be sides of:

 
 
 
 

18. If a, b and c are the lengths of three sides of a triangle, then:

 
 
 
 

19. Which of these angles we cannot construct it using ruler and compasses?

 
 
 
 

20. Which of the following angles can be constructed using ruler and compass?