# RD Sharma solutions for Mathematics for Class 9 chapter 16 - Constructions [Latest edition]

## Chapter 16: Constructions

Exercise 16.1Exercise 16.2Exercise 16.3
Exercise 16.1 [Pages 3 - 4]

### RD Sharma solutions for Mathematics for Class 9 Chapter 16 Constructions Exercise 16.1 [Pages 3 - 4]

Exercise 16.1 | Q 1 | Page 3

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.

Exercise 16.1 | Q 2 | Page 3

Draw a line segment AB of length 5.8 cm. Draw the perpendicular bisector of this line
segment.

Exercise 16.1 | Q 3 | Page 4

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the
perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

Exercise 16.1 | Q 4 | Page 4

Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not
parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they
intersect?

Exercise 16.1 | Q 5 | Page 4

Draw a line segment of length 10 cm and bisect it. Further bisect one of the equal parts and
measure its length.

Exercise 16.1 | Q 6 | Page 4

Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length 1/2 (AB).

Exercise 16.1 | Q 7 | Page 4

7. Draw a line segment AB and by ruler and compasses1 obtain a line segment of length 3/4AB.

Exercise 16.2 [Page 9]

### RD Sharma solutions for Mathematics for Class 9 Chapter 16 Constructions Exercise 16.2 [Page 9]

Exercise 16.2 | Q 1 | Page 9

Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.

Exercise 16.2 | Q 2 | Page 9

Draw an obtuse angle, Bisect it. Measure each of the angles so obtained.

Exercise 16.2 | Q 3 | Page 9

Using your protractor, draw an angle of measure 108°. With this angle as given, draw an
angle of 54°.

Exercise 16.2 | Q 4 | Page 9

Using protractor, draw a right angle. Bisect it to get an angle of measure 45°.

Exercise 16.2 | Q 5 | Page 9

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.

Exercise 16.2 | Q 6 | Page 9

Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

Exercise 16.2 | Q 7 | Page 9

Using ruler and compasses only, draw a right angle.

Exercise 16.2 | Q 8 | Page 9

Using ruler and compasses only, draw an angle of measure 135°.

Exercise 16.2 | Q 9 | Page 9

Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

Exercise 16.2 | Q 10.1 | Page 9

Construct the following angles at the initial point of a given ray and justify the construction 45°

Exercise 16.2 | Q 10.2 | Page 9

Construct the following angles at the initial point of a given ray and justify the construction 90°.

Exercise 16.2 | Q 11.1 | Page 9

Construct the angle of the measurement :

1. 30°

Exercise 16.2 | Q 11.2 | Page 9

Construct the angle of the measurement:

1 . 75°

Exercise 16.2 | Q 11.3 | Page 9

Construct the angle of the measurement:

1 . 105°

Exercise 16.2 | Q 11.4 | Page 9

Construct the angle of the measurement:

1. 135°

Exercise 16.2 | Q 11.5 | Page 9

Construct the angle of the measurement:

1. 15°

Exercise 16.2 | Q 11.6 | Page 9

Construct the angle of the measurement:

1. 22 (1°)/2

Exercise 16.3 [Page 18]

### RD Sharma solutions for Mathematics for Class 9 Chapter 16 Constructions Exercise 16.3 [Page 18]

Exercise 16.3 | Q 1 | Page 18

Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Exercise 16.3 | Q 2 | Page 18

Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, AB − AC = 1.5 cm and ∠B = 45°.

Exercise 16.3 | Q 3 | Page 18

Construct a ΔABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.

Exercise 16.3 | Q 4 | Page 18

Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.

Exercise 16.3 | Q 5 | Page 18

Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.

Exercise 16.3 | Q 6 | Page 18

Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.

Exercise 16.3 | Q 7 | Page 18

Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.

Exercise 16.3 | Q 8 | Page 18

Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .

Exercise 16.3 | Q 9 | Page 18

Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.

Exercise 16.3 | Q 10 | Page 18

Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11.

## Chapter 16: Constructions

Exercise 16.1Exercise 16.2Exercise 16.3

## RD Sharma solutions for Mathematics for Class 9 chapter 16 - Constructions

RD Sharma solutions for Mathematics for Class 9 chapter 16 (Constructions) 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 for Class 9 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics for Class 9 chapter 16 Constructions are Introduction of Constructions, Basic Constructions, Some Constructions of Triangles.

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