Constructions Class 9 MCQ – Maths Class 9 MCQ Online Test are covered in this Article. Constructions Class 9 MCQ Test contains 25 questions. Answers to MCQ on Constructions Class 9 are available after clicking on the answer. MCQ Questions for Class 9 with Answers have been made for Class 9 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 9 |
| Chapter | Chapter 11 Constructions |
| Category | MCQ Questions for Class 9 Maths with Answers |
Constructions Class 9 MCQ
1. An end- to- end testing framework for angular applications is
(a) Angle
(b) Compass
(c) Protractor
(d) Scale
Answer
Answer: (c) Protractor
2. In a given figure, name the angle bisected
(a) ∠AOB
(b) ∠AOC
(c) ∠COB
(d) OB
Answer
Answer: (b) ∠AOC
Explanation: Here, OB bisects ∠AOC.
3. Measured constructions required following instruments
(a) Scale
(b) Compass
(c) Protractor
(d) All of the above
Answer
Answer: (d) All of the above
4. In a triangle PQR, PQ= PR= 4cm, ∠Q = 60˚, find ∠P
(a) 80˚
(b) 60˚
(c) 40˚
(d) 50˚
Answer
Answer: (b) 60˚
Explanation:
Here, PQ= PR= 4cm
Therefore, ∠Q = ∠R = 60˚ (Angles opposite to equal sides are equal)
In ∆PQR, ∠P + ∠Q + ∠R = 180˚ (angle sum property)
∠P + 60˚ + 60˚ = 180˚
∠P = 180˚ – 120˚ = 60˚
5. Angles can be constructed using only protractor are
(a) 60˚
(b) 45˚
(c) 15˚
(d) All of the above
Answer
Answer: (d) All of the above
6. Write the measure of given angle A.
(a) 180˚
(b) 90˚
(c) 100˚
(d) 360˚
Answer
Answer: (a) 180˚
Explanation: The given figure is straight line. So, ∠A = 180˚
7. If p, q, r are the sides of a triangle ABC, then
(a) p + q = r
(b) p + r = q
(c) p + q > r
(d) p + q < r
Answer
Answer: (c) p + q > r
Explanation: The sum of two sides of a triangle is always greater than the third side.
Constructions Class 9 MCQ
8. The construction of ∆PQR is not possible if
(i) PQ + PR = QR
(ii) PQ + PR > QR
(iii) PQ + PR < QR
(a) Satisfying i, ii, iii
(b) Satisfying i and ii
(c) Satisfying i and iii
(d) Satisfying ii and iii
Answer
Answer: (c) Satisfying i and iii
Explanation: The construction of any triangle is not possible if the sum of two sides is lesser or equal to its third side.
9. Name the instruments used to draw the perpendicular bisector of a given line segment.
(a) Ruler and compass
(b) Ruler and protractor
(c) Protractor and compass
(d) Compass
Answer
Answer: (a) Ruler and compass
Explanation:
10. To construct an angle bisector, we need to use
(a) Ruler, compass and protractor
(b) Ruler and compass
(c) Compass and protractor
(d) Ruler and protractor
Answer
Answer: (b) Ruler and compass
Explanation: Ruler and compass are needed to construct an angle bisector
11. The perimeter of an isosceles triangle ABC is 36cm. Construct a triangle with AB= 8cm, ∠C = 80˚ and AC=?
(a) AC = BC = 14cm
(b) AC = BC = 10cm
(c) AC = BC = 9cm
(d) AC = BC = 8cm
Answer
Answer: (a) AC = BC = 14cm
Explanation:
Two sides of an isosceles triangles are equal.
In ∆ABC, AC = BC, AB = 8cm
Perimeter = AB +AC + BC
36= 8 + AC +AC
AC = 14cm
AC = BC =14cm
12. 22(1/2)˚ is a bisector of
(a) 60˚
(b) 30˚
(c) 45˚
(d) 50˚
Answer
Answer: (c) 45˚
Explanation: Bisector of 45˚ = 45˚/2 = 22(1/2)˚
13. What could be the length of QR to construct a ∆PQR when PQ = 3.5cm and PR = 4.5cm.
(a) 8cm
(b) 5cm
(c) 10cm
(d) 5cm
Answer
Answer: (d) 5cm
Explanation:
The construction of any triangle is possible if the sum of two sides of a triangle is always greater than the third side.
PQ + PR > QR
3.5 + 4.5 > QR
8 > QR
(The only option satisfying this condition is D)
14. Which is the correct statement if the length of sides of a triangle are m, n, o.
(a) m + n <o
(b) m – n < o
(c) m + n = o
(d) m – n > o
Answer
Answer: (b) m – n < o
15. ….………is a line that divides the line segment into two parts of equal measurements.
(a) Bisector
(b) Perpendicular bisector
(c) Midline
(d) Altitude
Answer
Answer: (b) Perpendicular bisector
16. The bisector of ∠A & ∠B of triangle are
(a) Equal
(b) Parallel
(c) Congruent
(d) concurrent
Answer
Answer: (d) concurrent
Explanation: The bisector of angles of triangle are concurrent.
Constructions Class 9 MCQ
17. The right bisector of a line segment is passes through its
(a) Midpoint
(b) endpoint
(c) Any point
(d) None of the above
Answer
Answer: (a) Midpoint
18. The right bisectors of the sides of an ……… triangle intersects each other inside the triangle
(a) Right
(b) Obtuse
(c) Acute
(d) Equiangular
Answer
Answer: (c) Acute
19. Find the set of length of sides of a triangle is correct
(a) 2cm, 3cm, 5.5cm
(b) 9cm, 1.6cm, 2.5cm
(c) 5cm, 5cm, 8.5cm
(d) 2cm, 2.2cm, 4.5cm
Answer
Answer: (d) 2cm, 2.2cm, 4.5cm
Explanation: Only option D satisfy, the sum of two sides of a triangle is always greater than the third side.
20. Which angle can be constructed with the help of ruler and compass?
(a) 50˚
(b) 100˚
(c) 40˚
(d) None of the above
Answer
Answer: (d) None of the above
21. The right bisectors of the sides of an ……… triangle intersects each other outside the triangle
(a) Right
(b) Obtuse
(c) Acute
(d) Equiangular
Answer
Answer: (b) Obtuse
22. Right angle is the bisector of a
(a) Acute angle
(b) Obtuse angle
(c) Straight line
(d) Complete angle
Answer
Answer: (c) Straight line
Explanation:
Straight line has 180˚
Bisector of it = 180˚ /2 = 90˚ (right angle)
23. ….………. forms a circle around a point.
(a) Acute angle
(b) Obtuse angle
(c) Straight line
(d) Complete angle
Answer
Answer: (d) Complete angle
24. The bisectors of base angles of a triangle cannot enclose a right angle in any case.
(a) True
(b) False
Answer
Answer: (a) True
Explanation:
In ∆BDC,
∠D + ∠DBC + ∠ DCB = 180˚
∠D + ∠B/2 + ∠C /2 =180˚
∠D = 180˚ – (∠B/2 + ∠C /2) ……. (i)
In ∆ABC,
∠A + ∠B + ∠C = 180˚
∠B + ∠C = 180˚ – ∠A
∠B/2 + ∠C /2 = 90˚ – ∠A / 2…………. (ii)
From i & ii,
∠D = 180˚ – (90˚ – ∠A / 2)
∠D = 90˚ + ∠A / 2
So, ∠D can never be less than or equal to 90˚.
25. The point of concurrency of angle bisectors of a triangle is
(a) Orthocenter
(b) Incenter
(c) Centroid
(d) circumcenter
Answer
Answer: (b) Incenter
MCQ Questions for Class 9 Maths
- Number Systems Class 9 MCQ with Answers
- Polynomials Class 9 MCQ with Answers
- Coordinate Geometry Class 9 MCQ Questions
- Linear Equations in Two Variables Class 9 MCQ with Answers
- Lines and Angles Class 9 MCQ with Answers
- Triangles Class 9 MCQ with Answers
- Quadrilaterals Class 9 MCQ Questions
- Circles Class 9 MCQ with Answers
- Constructions Class 9 MCQ
- Heron’s Formula Class 9 MCQ with Answers
- Surface Area and Volume Class 9 MCQ
- Statistics Class 9 MCQ
- Probability Class 9 MCQ with Answers
Frequently Asked Questions on Constructions Class 9 MCQ
1. Are these MCQ on Constructions Class 9 are based on 2021-22 CBSE Syllabus?
Yes . There are 25 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 9 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
Yes, we are providing all the chapters of Maths Class 9 MCQs with Answers.