#### Chapters

Chapter 2: Polynomials

Chapter 3: Coordinate Geometry

Chapter 4: Linear Equation In Two Variables

Chapter 5: Introduction To Euclid's Geometry

Chapter 6: Lines & Angles

Chapter 7: Triangles

Chapter 8: Quadrilaterals

Chapter 9: Areas of Parallelograms & Triangles

Chapter 10: Circles

Chapter 11: Construction

Chapter 12: Heron's Formula

Chapter 13: Surface Area & Volumes

Chapter 14: Statistics & Probability

## Chapter 11: Construction

### NCERT solutions for Mathematics Exemplar Class 9 Chapter 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 solutions for Mathematics Exemplar Class 9 Chapter 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 solutions for Mathematics Exemplar Class 9 Chapter 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 solutions for Mathematics Exemplar Class 9 Chapter 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 = 3cm, ∠ 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.

## Chapter 11: Construction

## NCERT solutions for Mathematics Exemplar Class 9 chapter 11 - Construction

NCERT solutions for Mathematics Exemplar Class 9 chapter 11 (Construction) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Exemplar Class 9 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics Exemplar Class 9 chapter 11 Construction are Introduction of Constructions, Basic Constructions, Some Constructions of Triangles.

Using NCERT Class 9 solutions Construction exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 9 prefer NCERT Textbook Solutions to score more in exam.

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