Below you will find MCQ Questions of Chapter 11 Constructions Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 9 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 9 Maths Chapter 11 Constructions with answers
1. In triangle ABC, altitude BE = altitude CF. Then triangle ABC is
(a) Equilateral triangle
(b) Scalene
(c) Isosceles triangle
(d) Right angled triangle
► (c) Isosceles triangle
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 of these
► (b) Difference of radii
3. 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
► (a) Reflex angle
4. Choose the correct statement
(a) If two sides of a triangle are unequal then the larger side has the smaller angle opposite to it.
(b) The sum of the three sides of a triangle is less than the sum of its three medians.
(c) The difference of two sides of a triangle is equal to the third side.
(d) Of all the line segments that can be drawn from a point outside a line, the perpendicular is the shortest.
► (d) Of all the line segments that can be drawn from a point outside a line, the perpendicular is the shortest.
5. To construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. We draw line segment AB of 12 cm. Draw a ray AX making 90° with AB. The next step is:
(a) Cut a line segment AD of 18 cm on AX
(b) Cut a line segment BD of 18 cm
(c) Cut a line segment BD of 18 cm on AB
(d) Cut a line segment AD of 18 cm on AB
► (a) Cut a line segment AD of 18 cm on AX
6. 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
► (c) parallel and may inchired at any angle
7. Radius of a circle is ________ to tangent
(a) Perpendicular
(b) Parallel
(c) No relation
(d) None of these
► (a) Perpendicular
8. With the help of a ruler and a compass, it is possible to construct an angle of
(a) 40°
(b) 37.5°
(c) 47.5°
(d) 35°
► (b) 37.5°
9. With the help of a ruler and a compass it is not possible to construct an angle of :
(a) 20°
(b) 30°
(c) 40°
(d) 50°
► (d) 50°
10. A rotating ray after making a complete rotation coincides with its initial position. The angle thus formed is
(a) reflex angle
(b) straight angle
(c) right angle
(d) complete angle
► (d) complete angle
11. An external bisector of an angle measuring 700 will divide the angle into two angles measuring
(a) 110°
(b) 55°
(c) 35°
(d) 70°
► (b) 55°
12. Which of these triangles are possible to construct by knowing only its altitude?
(a) Right angled triangle
(b) Equilateral triangle
(c) Isosceles triangle
(d) Any triangle
► (b) Equilateral triangle
13. The construction of △ABC in which AB = 5 cm, ∠A = 750 is not possible when difference of BC and AC is equal to
(a) 4.5 cm.
(b) 3.5 cm.
(c) 5.5 cm.
(d) 4 cm.
► (c) 5.5 cm.
14. Which of these triangles are possible to construct by knowing only its altitude?
(a) Isosceles triangle
(b) Equilateral triangle
(c) Any triangle
(d) Right angled triangle
► (b) Equilateral triangle
15. To construct a ΔABC in which BC = 10 cm and ∠B= 60 degrees and AB + AC = 14 cm, then the length of BD used for construction.
(a) 7 cm
(b) 14 cm
(c) 20 cm
(d) 10 cm
► (b) 14 cm
16. The construction of a triangle ABC with AB = 6 cm and ∠A = 60° is not possible when sum of BC and CA is equal to
(a) 7.5 cm
(b) 7 cm
(c) 8 cm
(d) 5.5 cm
► (b) 7 cm
16. In Δ ABC if ∠B = ∠C = 300, which of the following is the longest side?
(a) BC
(b) AC
(c) AB
(d) None of these
► (a) BC
17. It is not possible to construct a triangle whose sides are
(a) 3 cm, 3 cm and 6 cm
(b) 5 cm, 12 cm and 13 cm
(c) 3 cm, 4 cm and 5 cm
(d) 15 cm, 8 cm and 17 cm
► (a) 3 cm, 3 cm and 6 cm
18. Two radii of same circle are always :
(a) may inchired at any angle
(b) perpendicular
(c) parallel
(d) parallel and may inchired at any angle
► (d) parallel and may inchired at any angle
19. It is not possible to construct a triangle ABC with BC = 5cm,∠B = 750 and AB+AC equal to
(a) 8 cm
(b) 7.5 cm
(c) 9 cm
(d) 4.5 cm
► (d) 4.5 cm
20. The internal and external bisectors of an angle form a
(a) Acute angle
(b) Straight angle
(c) Right angle
(d) Reflex angle
► (c) Right angle
21. In Δ ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60 and BC = 6 cm :
(a) AB + BC
(b) CA + AB
(c) BC + CA
(d) All of the these
► (d) All of the these
22. The construction of a triangle ABC, given that BC = 3 cm, ∠C = 600 is possible when the difference of AB and AC is equal to
(a) 2.8 cm.
(b) 3 cm.
(c) 3.1 cm.
(d) 3.2 cm.
► (a) 2.8 cm.
Hope the given MCQ Questions will help you in cracking exams with good marks. These Constructions MCQ Questions will help you in practising more and more questions in less time.