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Chapters
2: Polynomials
3: Coordinate Geometry
4: Linear Equation In Two Variables
5: Introduction To Euclid's Geometry
6: Lines & Angles
7: Triangles
8: Quadrilaterals
9: Areas of Parallelograms & Triangles
10: Circles
▶ 11: Construction
12: Heron's Formula
13: Surface Area & Volumes
14: Statistics & Probability
![NCERT Exemplar solutions for Mathematics [English] Class 9 chapter 11 - Construction - Shaalaa.com](/images/mathematics-english-class-9_6:5f2b1b2038084cf381bfa42c826a928c.jpg "NCERT Exemplar solutions for Mathematics [English] Class 9 chapter 11 - Construction")
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Solutions for Chapter 11: Construction
Below listed, you can find solutions for Chapter 11 of CBSE NCERT Exemplar for Mathematics [English] Class 9.
NCERT Exemplar solutions for Mathematics [English] Class 9 11 Construction Exercise 11.1 [Page 109]
Choose the correct alternative:
With the help of a ruler and a compass it is not possible to construct an angle of ______.
37.5°
40°
22.5°
67.5°
The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to ______.
6.9 cm
5.2 cm
5.0 cm
4.0 cm
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
3.2 cm
3.1 cm
3 cm
2.8 cm
NCERT Exemplar solutions for Mathematics [English] Class 9 11 Construction Exercise 11.2 [Page 109]
State whether the following statement is True or False:
An angle of 52.5° can be constructed.
True
False
An angle of 42.5° can be constructed.
True
False
A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.
True
False
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
True
False
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
True
False
A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.
True
False
NCERT Exemplar solutions for Mathematics [English] Class 9 11 Construction Exercise 11.3 [Page 110]
Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.
Draw a line segment AB of 4 cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?
Draw an angle of 80° with the help of a protractor. Then construct angles of (i) 40° (ii) 160° and (iii) 120°.
Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Construct a square of side 3 cm.
Construct a rectangle whose adjacent sides are of lengths 5 cm and 3.5 cm.
Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.
NCERT Exemplar solutions for Mathematics [English] Class 9 11 Construction Exercise 11.4 [Page 111]
Construct the following and give justification:
A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.
Construct the following and give justification:
A triangle PQR given that QR = 3 cm, ∠PQR = 45° and QP – PR = 2 cm.
Construct the following and give justification:
A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
Construct the following and give justification:
A rhombus whose diagonals are 4 cm and 6 cm in lengths.
Solutions for 11: Construction
NCERT Exemplar solutions for Mathematics [English] Class 9 chapter 11 - Construction
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 9 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT Exemplar solutions for Mathematics Mathematics [English] Class 9 CBSE 11 (Construction) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT Exemplar textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 9 chapter 11 Construction are Introduction of Constructions, Basic Constructions, Some Constructions of Triangles.
Using NCERT Exemplar Mathematics [English] Class 9 solutions Construction exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Exemplar Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 9 students prefer NCERT Exemplar Textbook Solutions to score more in exams.
Get the free view of Chapter 11, Construction Mathematics [English] Class 9 additional questions for Mathematics Mathematics [English] Class 9 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
