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![Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 6 TN Board chapter 4 - Geometry - Shaalaa.com](/images/mathematics-term-2-english-class-6-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg "Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 6 TN Board chapter 4 - Geometry")
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Solutions for Chapter 4: Geometry
Below listed, you can find solutions for Chapter 4 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 2 [English] Class 6 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 6 TN Board 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 [English] Class 6 TN Board 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 [English] Class 6 TN Board 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. |
Solutions for 4: Geometry
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 6 TN Board chapter 4 - Geometry
Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics - Term 2 [English] Class 6 TN Board Tamil Nadu Board of Secondary Education 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. Samacheer Kalvi solutions for Mathematics Mathematics - Term 2 [English] Class 6 TN Board Tamil Nadu Board of Secondary Education 4 (Geometry) 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.
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Concepts covered in Mathematics - Term 2 [English] Class 6 TN Board chapter 4 Geometry are Concept of Triangles, Classification of Triangles (On the Basis of Sides, and of Angles), Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene, Triangle Inequality, Construction of Parallel Lines, Properties of a Triangle, Drawing a Perpendicular to a Line at a Point on the Line, Drawing a perpendicular to a line from a point outside the line, Classification of Triangles based on Angles: Acute-Angled, Right-Angled, Obtuse-Angled.
Using Samacheer Kalvi Mathematics - Term 2 [English] Class 6 TN Board solutions Geometry 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 Samacheer Kalvi Solutions are essential questions that can be asked in the final exam. Maximum Tamil Nadu Board of Secondary Education Mathematics - Term 2 [English] Class 6 TN Board students prefer Samacheer Kalvi Textbook Solutions to score more in exams.
Get the free view of Chapter 4, Geometry Mathematics - Term 2 [English] Class 6 TN Board additional questions for Mathematics Mathematics - Term 2 [English] Class 6 TN Board Tamil Nadu Board of Secondary Education, and you can use Shaalaa.com to keep it handy for your exam preparation.
