Students can access the NCERT Class 9 Maths MCQ Questions of Constructions with Answers aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 9 Maths with Answers during preparation and score maximum marks in the exam. Students can the MCQ Questions for Class 9 Constructions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 9 Maths Constructions Objective Questions.
Students are advised to solve the Constructions Multiple Choice Questions of Class 9 to know different concepts. Practicing the MCQ Questions with answers will boost your confidence thereby helping you score well in the exam.
Practice MCQ Questions for Class 9 Maths
1. Two radii of the same circle are always:
(a) may inchired at any angle
(b) parallel
(c) parallel and may inchired at any angle
(d) perpendicular
2. If two circles touches internally then distance between their centres is equal to
(a) sum of radii
(b) difference of radii
(c) not possible to determine
(d) none
3. The point of occurrence of three angle bisectors of a triangle is called
(a) Incentre
(b) Circumcentre
(c) Orthocentre
(d) Centroid
4. The bisector of an angle lies in its
(a) Interior
(b) Exterior
(c) Anywhere in the plane
(d) On the arms of the angle
5. The internal and external bisectors of an angle forms
(a) Acute angle
(b) Right angle
(c) Obtuse angle
(d) Straight angle
6. The side length of 5 cm, 3 cm, and 5 cm can be the sides of
(a) Scalene triangle
(b) Isosceles triangle
(c) Equilateral triangle
(d) None of the above
7. The side length of 2 cm, 3 cm, and 4 cm can be the sides of
(a) Scalene triangle
(b) Isosceles triangle
(c) Equilateral triangle
(d) None of the above
8. To construct a bisector of a given angle, we need:
(a) A ruler
(b) A compass
(c) A protractor
(d) Both ruler and compass
9. If we want to construct a triangle, given its perimeter, then we need to know:
(a) Sum of two sides of triangle
(b) Difference between two sides of triangle
(c) One base angles
(d) Two base angles
10. The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when the difference of AB and AC is equal to:
(a) 4 cm
(b) 5 cm
(c) 5.2 cm
(d) 6.9 cm
11. A triangle ABC with AB = 4 cm and ∠A= 60° and ∠B= 40° is constructed. Then what is the measurement of ∠C?
(a) 40°
(b) 60°
(c) 80°
(d) 100°
12. The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when the difference of BC and AC is equal to
(a) 2.5 cm
(b) 3 cm
(c) 3.5 cm
(d) 4.5 cm
13. With the help of a ruler and a compass it is not possible to construct an angle of
(a) 22.5°
(b) 37.5°
(c) 40°
(d) 67.5°
14. An angle whose measure is more than 180° and less than 360° is called a
(a) Reflex angle
(b) Acute angle
(c) Straight angle
(d) Complete angle
15. If a, b and c are the lengths of three sides of a triangle, then:
(a) a+b>c
(b) a-b>c
(c) a+b=c
(d) a-b=c
16. With the help of a ruler and a compass, it is possible to construct an angle of
(a) 35°
(b) 37.5°
(c) 40°
(d) 47.5°
17. Which of these angles cannot be constructed using a ruler and compasses?
(a) 120°
(b) 60°
(c) 140°
(d) 135°
18. To construct an angle of 60 degrees, we need to draw first:
(a) A ray
(b) An arc
(c) Two rays
(d) A straight line
19. The side lengths 4cm, 4cm and 4cm can be sides of:
(a) Scalene Triangle
(b) Isosceles Triangle
(c) Equilateral Triangle
(d) None of the above
20. Which of these angles we cannot construct it using a ruler and compasses?
(a) 120°
(b) 70°
(c) 60°
(d) All can be constructed
Answer
1. Answer: (c) parallel and may inchired at any angle
2. Answer: (b) difference of radii
3. Answer: (a) Incentre
Explanation: The angle bisectors are the lines that bisect the angles of a triangle. The point of occurrence of three angle bisectors of a triangle is called incentre.
4. Answer: (a) Interior
Explanation: The bisector of an angle lies in its interior.
5. Answer: (b) Right angle
Explanation: The internal and external bisectors of an angle forms the right angle.
Now, consider the below figure,
Here, BD is the internal angle bisector and BE is the external bisector.
Hence, the angle formed between the internal and external bisector of an angle is the right angle.
6. Answer: (b) Isosceles triangle
Explanation: The side length of 5 cm, 3 cm, and 5 cm can be the sides of an isosceles triangle, as two sides are of the same length and the length of one side of the triangle varies.
7. Answer: (a) Scalene triangle
Explanation: The side length of 2 cm, 3 cm, and 4 cm can be the sides of a scalene triangle, as all the sides have different measurements.
8. Answer: (d) Both ruler and compass
9. Answer: (d) Two base angles
10. Answer: (d) 6.9 cm
Explanation: Among the options given, 6.9>6, since the difference of any two sides of a triangle cannot be greater than the third side.
11. Answer: (c) 80°
Explanation: By using the angle sum property of a triangle,
∠A+∠B+∠C = 180°
60°+40°+∠C = 180°
∠C = 180°-100°= 80°.
12. Answer: (d) 4.5 cm
Explanation: Among the options given, 4.5 >4, since the difference of any two sides of a triangle cannot be greater than the third side.
13. Answer: (c) 40°
Explanation: With the help of a ruler and a compass it is possible to construct the angles of 22.5°, 30°, 45°, 60° etc. (i.e)multiples of 15° and its angle bisector. Hence, it is not possible to construct a 40° angle using a ruler and compass.
14. Answer: (a) Reflex angle
15. Answer: (a) a+b>c
16. Answer: (b) 37.5°
Explanation: With the help of a ruler and compass, it is possible to construct an angle of 37.5°.
17. Answer: (c) 140°
18. Answer: (a) A ray
Explanation: To construct an angle of 60 degrees we need to start at the initial point of a ray.
19. Answer: (c) Equilateral Triangle
Explanation: Equilateral triangle has all its three sides equal.
20. Answer: (b) 70°
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