#### Chapters

## Chapter 4: Geometry

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 6th Tamil Nadu State Board Chapter 4 Geometry Exercise 4.1 [Pages 65 - 67]

#### Fill in the blanks:

Every triangle has at least ________ acute angles

A triangle in which none of the sides equal is called a _________

In an isosceles triangle ________ angles are equal

The sum of three angles of a triangle is __________

A right angled triangle with two equal sides is called ________

**Match the following:**

Column A |
Column B |

(i) No sides are equal | Isosceles triangle |

(ii) One right angle | Scalene triangle |

(iii) One obtuse angle | Right angled triangle |

(iv) Two sides of equal length | Equilateral triangle |

(v) All sides are equal | Obtuse angled triangle |

In ΔABC, name the **a)** Three sides: _________, __________, __________**b)** Three Angles: _________, __________, __________**c)** Three Vertices: _________, __________, __________

Classify the given triangle based on its sides

Scalene triangle

Isosceles triangle

Equilateral triangle

Classify the given triangle based on its sides

Scalene triangle

Isosceles triangle

Equilateral triangle

Classify the given triangle based on its sides

Scalene triangle

Isosceles triangle

Equilateral triangle

Classify the given triangle based on its sides

Scalene triangle

Isosceles triangle

Equilateral triangle

Classify the given triangle based on its angles

Acute angled triangle

Right angled triangle

Obtuse angled triangle

Classify the given triangle based on its angles

Acute angled triangle

Right angled triangle

Obtuse angled triangle

Classify the given triangle based on its angles

Acute angled triangle

Right angled triangle

Obtuse angled triangle

Classify the given triangle based on its angles

Acute angled triangle

Right angled triangle

Obtuse angled triangle

Classify the following triangle based on its sides and angles

Classify the following triangle based on its sides and angles

Classify the following triangle based on its sides and angles

Classify the following triangle based on its sides and angles

Classify the following triangle based on its sides and angles

Classify the following triangle based on its sides and angles

Can a triangle be formed with the following sides? If yes, name the type of triangle.

8 cm, 6 cm, 4 cm

Can a triangle be formed with the following sides? If yes, name the type of triangle.

10 cm, 8 cm, 5 cm

Can a triangle be formed with the following sides? If yes, name the type of triangle.

6.2 cm, 1.3 cm, 3.5 cm

Can a triangle be formed with the following sides? If yes, name the type of triangle.

6 cm, 6 cm, 4 cm

Can a triangle be formed with the following sides? If yes, name the type of triangle.

3.5 cm, 3.5 cm, 3.5 cm

Can a triangle be formed with the following sides? If yes, name the type of triangle.

9 cm, 4 cm, 5 cm

Can a triangle be formed with the following angles? If yes, name the type of triangle.

60°, 60°, 60°

Can a triangle be formed with the following angles? If yes, name the type of triangle.

90°, 55°, 35°

Can a triangle be formed with the following angles? If yes, name the type of triangle.

60°, 40°, 42°

Can a triangle be formed with the following angles? If yes, name the type of triangle.

60°, 90°, 90°

Can a triangle be formed with the following angles? If yes, name the type of triangle.

70°, 60°, 50°

Can a triangle be formed with the following angles? If yes, name the type of triangle.

100°, 50°, 30°

Two angles of the triangle are given. Find the third angle.

80°, 60°

Two angles of the triangle are given. Find the third angle.

75°, 35°

Two angles of the triangle are given. Find the third angle.

52°, 68°

Two angles of the triangle are given. Find the third angle.

50°, 90°

Two angles of the triangle are given. Find the third angle.

120°, 30°

Two angles of the triangle are given. Find the third angle.

55°, 85°

I am a closed figure with each of my three angles is 60°. Who am I?

Using the given information, write the type of triangle in the table given below

S.No |
∠1 |
∠2 |
∠3 |
Type of triangle based on angles |
Type of triangle based on sides |

i. | 60° | 40° | 80° | Acute angled triangle. | Scalene Triangle |

ii. | 50° | 50° | 80° | ||

iii. | 45° | 45° | 90° | ||

iv. | 55° | 45° | 80° | ||

v. | 75° | 35° | 70° | ||

vi. | 60° | 30° | 90° | ||

vii. | 25° | 64° | 91° | ||

viii. | 120° | 30° | 30° |

#### Objective Type Questions

The given triangle is _________

a right angled triangle

an equilateral triangle

a scalene triangle

an obtuse angled triangle

If all angles of a triangle are less than a right angle, then it is called ________

an obtuse angled triangle

a right angled triangle

an isosceles right angled triangle

an acute angled triangle

If two sides of a triangle are 5 cm and 9 cm, then the third side is ________

5 cm

3 cm

4 cm

14 cm

The angles of a right angled triangle are

acute, acute, obtuse

acute, right, right

right, obtuse, acute

acute, acute, right

An equilateral triangle is

an obtuse angled triangle

a right angled triangle

an acute angled triangle

a scalene triangle

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 6th Tamil Nadu State Board Chapter 4 Geometry Exercise 4.2 [Page 73]

Draw a line segment AB = 7 cm and mark a point P on it. Draw a line perpendicular to the given line segment at P

Draw a line segment LM = 6.5 cm and take a point P not lying on it. Using a set square construct a line perpendicular to LM through P

Find the distance between the given lines using a set square at two different points on each of the pairs of lines and check whether they are parallel.

Draw a line segment measuring 7.8 cm. Mark a point B above it at a distance of 5 cm. Through B draw a line parallel to the given line segment

Draw a line and mark a point R below it at a distance of 5.4 cm Through R draw a line parallel to the given line

### Samacheer Kalvi solutions for Mathematics Term 2 - Class 6th Tamil Nadu State Board Chapter 4 Geometry Exercise 4.3 [Pages 73 - 74]

#### Miscellaneous Practice Problems

What are the angles of an isosceles right angled triangle?

Which of the following correctly describes the given triangle?

It is a right isosceles triangle

It is an acute isosceles triangle

It is an obtuse isosceles triangle

It is an obtuse scalene triangle.

Which of the following is not possible?

An obtuse isosceles triangle

An acute isosceles triangle

An obtuse equilateral triangle

An acute equilateral triangle

If one angle of an isosceles triangle is 124°, then find the other angles

The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangles so formed.

Draw a line segment AB of length 6 cm. At each end of this line segment AB, draw a line perpendicular to the line AB. Are these lines parallel?

#### Challenge Problems

Is a triangle possible with the angles 90°, 90° and 0°? Why?

State the following statement is true or false? Why?

Every equilateral triangle is an isosceles triangle

True

False

State the following statement is true or false? Why?

Every isosceles triangle is an equilateral triangle

True

False

If one angle of an isosceles triangle is 70°, then find the possibilities for the other two angles

Which of the following can be the sides of an isosceles triangle?

6 cm, 3 cm, 3 cm

5 cm, 2 cm, 2 cm

6 cm, 6 cm, 7 cm

4 cm, 4 cm, 8 cm

Study the given figure and identify the following triangles.**(a)** equilateral triangle**(b)** isosceles triangles**(c)** scalene triangles**(d)** acute triangles**(e)** obtuse triangles**(f)** right triangles

Two sides of the triangle are given in the table. Find the third side of the triangle.

SI. No. |
Side - 1 |
Side - 2 |
The length of the third side (any three measures) |

i. | 7 cm | 4 cm | |

ii. | 8 cm | 8 cm | |

iii. | 7.5 cm | 3.5 cm | |

iv. | 10 cm | 14 cm |

Complete the following table:

Types of Triangle/Its Angles |
Acute angled triangle |
Right angled triangle |
Obtuse angled triangle |

Any two angles | Always acute angles | i. | Always acute angles |

Third angle | ii. | Right angle | iii. |

## Chapter 4: Geometry

## Samacheer Kalvi solutions for Mathematics Term 2 - Class 6th Tamil Nadu State Board chapter 4 - Geometry

Samacheer Kalvi solutions for Mathematics Term 2 - Class 6th Tamil Nadu State Board chapter 4 (Geometry) 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 Tamil Nadu Board of Secondary Education Mathematics Term 2 - Class 6th Tamil Nadu State Board solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Samacheer Kalvi textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Mathematics Term 2 - Class 6th Tamil Nadu State Board chapter 4 Geometry are Concept of Triangles - Sides, Angles, Vertices, Interior and Exterior of Triangle, Classification of Triangles (On the Basis of Sides, and of Angles), Equilateral Triangle, Isosceles Triangles, Scalene Triangle, Acute Angled Triangle, Obtuse Angled Triangle, Triangle Inequality, Right Angled Triangle, Properties of a Triangle, Drawing a Perpendicular to a Line at a Point on the Line, Drawing a Perpendicular to a Line Through a Point Not on It, Construction of Parallel Lines.

Using Samacheer Kalvi Class 6th solutions Geometry 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 Samacheer Kalvi Solutions are important questions that can be asked in the final exam. Maximum students of Tamil Nadu Board of Secondary Education Class 6th prefer Samacheer Kalvi Textbook Solutions to score more in exam.

Get the free view of chapter 4 Geometry Class 6th extra questions for Mathematics Term 2 - Class 6th Tamil Nadu State Board and can use Shaalaa.com to keep it handy for your exam preparation