• School
  • Engineering and Architecture
  • Management and Business Administration
  • Medicine and Allied Sciences
  • Law
  • Animation and Design
  • Media, Mass Communication and Journalism
  • Finance & Accounts
  • Computer Application and IT
  • Pharmacy
  • Hospitality and Tourism
  • Competition
  • Study Abroad
  • Arts, Commerce & Sciences
  • Learn
  • Online Courses and Certifications
NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 - Triangles

NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 - Triangles

#CBSE Class 10th
Ramraj SainiUpdated on 02 Jun 2025, 02:37 PM IST

A triangle is a polygon that has three sides and three corners. It is one of the basic geometrical shapes with a minimum number of lines polygon. For comparing and describing triangles congruence property is used. Two triangles are said to be congruent if they are identical in terms of their shape and size. But not all the figures or shape that has similar shape or size need to be congruent. In other words, triangles are said to be congruent if the corresponding sides or angles of one shape are equal to the corresponding sides or angles of the other triangle.

This Story also Contains

  1. Download Free Pdf of NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1
  2. Assess NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1
  3. Topics Covered in Chapter 6, Triangles: Exercise 6.1
  4. NCERT Solutions Subject Wise
  5. Subject-Wise NCERT Exemplar Solutions
NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 - Triangles
NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 - Triangles

NCERT solutions of Class 10 maths ex 6.1 concentrate on triangles and their similarity and congruence concept. Here we will discover the meaning of comparable triangles, and learn how comparable geometric forms differ and why they're grouped together. These distinctions between similar geometric shapes will aid your understanding of how these triangles differ. NCERT solutions for exercise 6.1 Class 10 Maths chapter 6 Triangles discuss the concept of geometry as per the NCERT Book, which helps us to grasp new ideas in advanced classes.

Download Free Pdf of NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1

Assess NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1

Q1 (1) Fill in the blanks using the correct word given in brackets: All circles are ______ . (congruent, similar)

Answer:

All circles are similar.

Since all the circles have a similar shape. They may have different radii, but the shape of all circles is the same.

Therefore, all circles are similar.

Q1 (2) Fill in the blanks using the correct word given in brackets: All squares are ______. (similar, congruent)

Answer:

All squares are similar.

Since all the squares have a similar shape. They may have a different side, but the shape of all squares is the same.

Therefore, all squares are similar.

Q1 (3) Fill in the blanks using the correct word given in brackets: All ______triangles are similar. (isosceles, equilateral)

Answer:

All equilateral triangles are similar.

Since all the equilateral triangles have a similar shape. They may have different sides but the shape of all equilateral triangles is the same.

Therefore, all equilateral triangles are similar.

Q1 (4) Fill in the blanks using the correct word given in brackets : (iv) Two polygons of the same number of sides are similar if(a) there corresponding angles are _________and (b) their corresponding sides are________. (equal, proportional)

Answer:

Two polygons of the same number of sides are similar if their corresponding angles are equal and their corresponding sides are proportional.

Thus, (a) equal

(b) proportional

Q2 (1) Give two different examples of a pair of similar figures.

Answer:

The two different examples of a pair of similar figures are :

1. Two circles with different radii.

1635922757481

2. Two rectangles with different breadth and length.

1635922782211

Q2 (2) Give two different examples of a pair of non-similar figures.

Answer:

The two different examples of a pair of non-similar figures are :

1. Rectangle and circle

1635922829572

2. A circle and a triangle.

1635922838551

Q3 State whether the following quadrilaterals are similar or not:

1745663209508

Answer:

Quadrilateral PQRS and ABCD are not similar as their corresponding sides are proportional, i.e. $1:2$, but their corresponding angles are not equal.

Also Read-

Topics Covered in Chapter 6, Triangles: Exercise 6.1

1. Definition of Triangle: A triangle is a polygon that has three edges and three vertices. It means the polygon with the minimum number of sides is called a triangle. To understand the terms related to triangles student must know the basic definition of a triangle.

2. Congruent Triangles: This is the basic concept that is used to compare triangles. Two triangles are said to be congruent if they same size and shape. Two criteria for triangle congruence are as follows -

  • Their corresponding angles are equal and

  • Their corresponding sides are in the same ratio.

3. Similar Figure: Two triangles or any other figure are said to be similar if they have the same shape, but not necessarily have the same size. For example, two equilateral triangles in which each side of the first triangle is 6cm and each side of the other triangle is 8cm are said to be similar because both are equilateral triangles.

Also see-

Recommended eBooks

Related eBooks & Sample Papers

NCERT Solutions Subject Wise

Students must check the NCERT solutions for Class 10 Maths and Science given below:

Subject-Wise NCERT Exemplar Solutions

Students must check the NCERT exemplar solutions for Class 10 Maths and Science given below:

Frequently Asked Questions (FAQs)

Q: Can a triangle and square be similar to each other?
A:

No, because they have different number of sides. Triangle has three and square has 4


Q: What are similar figures?
A:

Two figures are similar to each other if they have the same shape but are of different size.


Q: What is the sum of all the angels of a triangle?
A:

Sum of the angels of a triangle is 180 degrees. 


Q: What are the conditions for two figures to be similar according to NCERT Solutions for Class 10 Maths Exercise 6.1?
A:

Two figures with same number of sides are similar if 

  1. their corresponding angles are equal and 

  2. their corresponding sides are in the same ratio, 


Q: Can two circles of any radius be similar to each other?
A:

Yes, any two given circles are always similar to each other.


Q: Why can’t a rectangle and a square be similar to each other?
A:

Because, the sides of rectangle are not equal to each other. Thus, the ratio of sides is not same for all the sides.


Q: Does similarity mean the figures are congruent?
A:

No, similarity means that the figures are just of same shape it doesn’t mean that they are equal.


Q: Can we proof that any two regular polygons of same side are similar to each other?
A:

Yes, if their number of sides are equal to each other then the two are similar.

Articles
Related Stories
|
Upcoming School Exams
Chattisgarh State Open School 12th Examination
Ongoing Dates
CGSOS 12th Application Date

1 Dec'25 - 15 Jan'26 (Online)

Chattisgarh State Open School 10th Examination
Ongoing Dates
CGSOS 10th Application Date

1 Dec'25 - 15 Jan'26 (Online)

Manipur Board 12th Examination
Ongoing Dates
Manipur board 12th Admit Card Date

17 Dec'25 - 20 Mar'26 (Online)

Certifications By Top Providers
Economic Evaluation for Health Technology Assessment
Via Postgraduate Institute of Medical Education and Research Chandigarh
Aspen Plus Simulation Software a Basic Course for Beginners
Via Indian Institute of Technology Guwahati
Yoga Practices 1
Via Swami Vivekananda Yoga Anusandhana Samsthana, Bangalore
Introduction to Biomedical Imaging
Via The University of Queensland, Brisbane
Brand Management
Via Indian Institute of Management Bangalore
Edx
 1071 courses
Coursera
 816 courses
Udemy
 394 courses
Futurelearn
 264 courses
Explore Top Universities Across Globe
University of Essex, Colchester
Wivenhoe Park Colchester CO4 3SQ
University College London, London
Gower Street, London, WC1E 6BT
The University of Edinburgh, Edinburgh
Old College, South Bridge, Edinburgh, Post Code EH8 9YL
University of Nottingham, Nottingham
University Park, Nottingham NG7 2RD
Bristol Baptist College, Bristol
The Promenade, Clifton Down, Bristol BS8 3NJ

Questions related to CBSE Class 10th

On Question asked by student community

Have a question related to CBSE Class 10th ?
Previous 5year question pap class 10 cbse board

Hello,

Here you can access the last 5 years CBSE Class 10 Board Exam Question Papers from the mentioned link below:

https://school.careers360.com/boards/cbse/cbse-previous-year-question-papers-class-10

Hope it helps.

Read Complete Answer
S
Sankalp Agrawal
4 Jan'26
Class 11 english half question paper and answer key 2025 state board

You can check the Class 11 English half yearly question paper and answer key for 2025 26 on the Careers360 website. These papers help students practice, understand the exam pattern, and check their answers for better preparation.

You can visit this Careers360 link to access the English question paper and

Read Complete Answer
R
Ritin
4 Jan'26
I need pre board cbse sahodaya question paper of coimbatore zone of class 10 in the month of December 2025

Good Morning, candidate,

The question papers will be available soon at the link attached herewith. You can keep an eye on the website of careers360. it will provide you perfect pattern of question papers, which will improve your writing skills and practice learning.

https://school.careers360.com/articles/cbse-sahodaya-class-10-pre-board- question-paper-2025-26

Thank you.

Read Complete Answer
S
SUANGANA ROY
15 Dec'25
Cbse sahodaya exam questions paper for class X examination for 2025-2026

Hello,

You can download subject wise CBSE Sahodaya Class 10 Pre-Board Question Paper 2025-26 for Round 1 & Round 2 from this link : CBSE Sahodaya Class 10 Pre-Board Question Paper 2025-26

Hope it helps !

Read Complete Answer
P
Prachi Kumari
15 Dec'25
Chennai sahodaya examination 2025-2026 question paper

The Sahodaya School Complex Examinations (including those for the Chennai cluster) for the 2025-2026 academic session are generally conducted in a decentralized manner by regional clusters of CBSE schools.

The linked page provides access to the latest Sahodaya Question Papers for Class 10 and Class 12 that follow the current

Read Complete Answer
S
Sakshi
15 Dec'25
View all

Popular CBSE Class 10th Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

 Option 2)

0.16\; J
Option 3)

1.00\; J

 Option 4)

0.67\; J
Read Complete Answer

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

 Option 2)

 6.45×10−3 kg
Option 3)

 9.89×10−3 kg

 Option 4)

12.89×10−3 kg

 
Read Complete Answer

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

 Option 2)

200 \, \, J - 500 \, \, J
Option 3)

2\times 10^{5}J-3\times 10^{5}J

 Option 4)

20,000 \, \, J - 50,000 \, \, J
Read Complete Answer

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

 Option 2)

\; K\;
Option 3)

zero\;

 Option 4)

K/4
Read Complete Answer

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

 Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced
Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

 Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .
Read Complete Answer

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

 Option 2)

3.125 × 10-2
Option 3)

1.25 × 10-2

 Option 4)

2.5 × 10-2
Read Complete Answer

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

 Option 2)

increase two fold
Option 3)

remain unchanged

 Option 4)

be a function of the molecular mass of the substance.
Read Complete Answer

With increase of temperature, which of these changes?

Option 1)

Molality

 Option 2)

Weight fraction of solute
Option 3)

Fraction of solute present in water

 Option 4)

Mole fraction.
Read Complete Answer

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

 Option 2)

6.023 × 1022
Option 3)

half that in 8 g He

 Option 4)

558.5 × 6.023 × 1023
Read Complete Answer

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

 Option 2)

more than 3 but less than 6
Option 3)

more than 6 but less than 9

 Option 4)

more than 9
Read Complete Answer

Applications for Admissions are open.

JEE Main Important Physics formulas
Get now

As per latest syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters

JEE Main Important Chemistry formulas
Get now

As per latest syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters

JEE Main high scoring chapters and topics
Get now

As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE

JEE Main Important Mathematics Formulas
Get now

As per latest syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters

View all Application Forms

CBSE Class 10th Notifications

Latest updates

Never miss CBSE Class 10th update

Get timely CBSE Class 10th updates directly to your inbox. Stay informed!