# NCERT solutions for Mathematics Exemplar Class 9 chapter 11 - Construction [Latest edition]

## Chapter 11: Construction

Exercise 11.1Exercise 11.2Exercise 11.3Exercise 11.4
Exercise 11.1 [Page 109]

### NCERT solutions for Mathematics Exemplar Class 9 Chapter 11 Construction Exercise 11.1 [Page 109]

#### Choose the correct alternative:

Exercise 11.1 | Q 1 | Page 109

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°

Exercise 11.1 | Q 2 | Page 109

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

Exercise 11.1 | Q 3 | Page 109

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

Exercise 11.2 [Page 109]

### NCERT solutions for Mathematics Exemplar Class 9 Chapter 11 Construction Exercise 11.2 [Page 109]

#### State whether the following statement is True or False:

Exercise 11.2 | Q 1 | Page 109

An angle of 52.5° can be constructed.

• True

• False

Exercise 11.2 | Q 2 | Page 109

An angle of 42.5° can be constructed.

• True

• False

Exercise 11.2 | Q 3 | Page 109

A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.

• True

• False

Exercise 11.2 | Q 4 | Page 109

A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.

• True

• False

Exercise 11.2 | Q 5 | Page 109

A triangle ABC can be constructed in which ∠ B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.

• True

• False

Exercise 11.2 | Q 6 | Page 109

A triangle ABC can be constructed in which ∠ B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.

• True

• False

Exercise 11.3 [Page 110]

### NCERT solutions for Mathematics Exemplar Class 9 Chapter 11 Construction Exercise 11.3 [Page 110]

Exercise 11.3 | Q 1 | Page 110

Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.

Exercise 11.3 | Q 2 | Page 110

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?

Exercise 11.3 | Q 3 | Page 110

Draw an angle of 80° with the help of a protractor. Then construct angles of (i) 40° (ii)160° and (iii) 120°.

Exercise 11.3 | Q 4 | Page 110

Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.

Exercise 11.3 | Q 5 | Page 110

Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

Exercise 11.3 | Q 6 | Page 110

Construct a square of side 3 cm.

Exercise 11.3 | Q 7 | Page 110

Construct a rectangle whose adjacent sides are of lengths 5 cm and 3.5 cm.

Exercise 11.3 | Q 8 | Page 110

Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.

Exercise 11.4 [Page 111]

### NCERT solutions for Mathematics Exemplar Class 9 Chapter 11 Construction Exercise 11.4 [Page 111]

Exercise 11.4 | Q 1 | Page 111

Construct the following and give justification :

A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.

Exercise 11.4 | Q 2 | Page 111

Construct the following and give justification:

A triangle PQR given that QR = 3cm, ∠ PQR = 45° and QP – PR = 2 cm.

Exercise 11.4 | Q 3 | Page 111

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.

Exercise 11.4 | Q 4 | Page 111

Construct the following and give justification:

An equilateral triangle if its altitude is 3.2 cm.

Exercise 11.4 | Q 5 | Page 111

Construct the following and give justification:

A rhombus whose diagonals are 4 cm and 6 cm in lengths.

## Chapter 11: Construction

Exercise 11.1Exercise 11.2Exercise 11.3Exercise 11.4

## 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.

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