default_background
✕

Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Learn Criteria for similarity

In CBSE Class 10 Mathematics, the "Triangles" chapter introduces a fundamental geometrical concept: Similarity of Triangles. Unlike congruency, where two shapes must be exactly the same size and shape, similarity requires only that they possess the exact same shape. Think of it like a photograph that has been digitally scaled up or down; the proportions remain perfectly constant, even if the absolute dimensions change. In formal terms, two triangles are geometrically similar if their corresponding interior angles are equal and the lengths of their corresponding sides are perfectly proportional.

To mathematically prove that two triangles are similar without measuring every single dimension, we rely on three primary Criteria for Similarity. The first is the AAA (Angle-Angle-Angle) criterion, which states that if all three corresponding angles of two triangles are equal, their sides will automatically be proportional, making them similar. (Note: Because all angles in a triangle add up to 180 degrees, proving just two angles are equal—known as the AA criterion—is perfectly sufficient). The second is the SSS (Side-Side-Side) criterion, which dictates that triangles are similar if all three pairs of corresponding sides are in the same ratio (i.e., AB/DE = BC/EF = AC/DF). Lastly, the SAS (Side-Angle-Side) criterion proves similarity if one angle of a triangle equals one corresponding angle of the other, and the two sides including these equal angles are strictly proportional.

Similarity of Triangles: 3 Main Criteria Scale Factor (k) A B C D E F c a b k·c k·a k·b AAA Criterion ∠A = ∠D, ∠B = ∠E, ∠C = ∠F Equal angles ⇒ Similar SSS Criterion AB/DE = BC/EF = AC/DF Proportional sides ⇒ Similar SAS Criterion AB/DE = AC/DF & ∠A = ∠D Proportional sides + Included angle

The diagram above visually decodes these three core rules using two similar triangles, ΔABC and ΔDEF. You can clearly see that the larger triangle, ΔDEF, is essentially a scaled-up version of ΔABC dictated by a scale factor of k. The color-coded vertices visually demonstrate corresponding angles (Red for A & D, Blue for B & E, Green for C & F) which remain perfectly equal regardless of the shape's size. Below the graphics, the exact mathematical conditions for the AAA, SSS, and SAS criteria are laid out. During your CBSE board examinations, you will frequently rely on these specific criteria to solve complex real-world word problems—such as calculating the height of an inaccessible tower using shadow lengths, or proving proportional relationships within intersecting lines and parallelograms.

Mastering geometrical proofs and similarity rules can sometimes feel overwhelming for students facing their board exams. If you find the theorems and practical applications in the Class 10 Triangles chapter tricky, you do not have to struggle alone! Connect with highly experienced, verified CBSE Class 10 Mathematics tutors and specialized coaching institutes on the UrbanPro platform today. Whether you are looking for interactive online tuition or prefer local offline classes for personalized, hands-on learning, UrbanPro can help you build the strong conceptual foundation needed to confidently excel in your mathematics exams.


Other Concepts in Triangles


Other Concept Videos for Criteria for similarity

How to Prove Shapes are Similar video thumbnail

How to Prove Shapes are Similar

CBSE - Class 10>Mathematics>Triangles>Criteria for similarity


How to Prove Shapes are Similar video thumbnail

How to Prove Shapes are Similar

CBSE - Class 10>Mathematics>Triangles>Criteria for similarity

Provider Image
Saurav
(25)


Top Tutors who teach Criteria for similarity

locationImg Govindpuram, Ghaziabad
20 yrs of Exp 1 student
greenClock 34 hrs of classes completed
Maths teacher for last 15 years
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

I teach mathematics and science for class 10th students. In science I teach physics chemistry and biology. My aim is to teach the students in way so that they score 100percent in boards.

Skills: Mathematics , Science
Also teaches: Class 11 Tuition, Class 8 Tuition and more

(12)
topTutorTop Tutor
locationImg Nanded, Pune
12 yrs of Exp 1 student
rsIcon 1000 per hour
I am here for Passion.Best Online Tutor for ICSE, CBSE,IGCSE,IBDP,SAT. Quality Education with Fun
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

Dedicated and passionate educator with over 10 years of experience teaching Mathematics and Science to students of Classes 8th to 12th across multiple boards — CBSE, ICSE, IGCSE, IB MYP, and IBDP. Founder of Ishaan Tuitions, Pune, specializing in personalized one-to-one coaching and small group sessions designed to strengthen conceptual understanding and academic performance. Expertise also includes preparing students for competitive examinations such as SAT and IIT-JEE Mains, with a strong record of improving analytical thinking and problem-solving abilities.

Skills: Mathematics , Physics and more
Also teaches: Class 8 Tuition, SAT Coaching and more

(31)
superTutorSuper Tutor
locationImg Sector 43, Gurgaon
10 yrs of Exp 7 students
greenClock 1198 hrs of classes completed
rsIcon 400 per hour
Freelance tutor/trainer with an experience of 12yrs
Online Classes Online Classes
regularClasses Tutor's home

I am a freelance tutor at present. I taught in a coaching centre Vidyanext for students of CBSE & ICSE of classes IX & X for two years. I have teaching children of classes IX & X since last ten years online and also at my home. You can check my profile for the same. My teaching methodology would be to clear the concepts of the child, make the child practice and then test him on his concepts by giving worksheets. This methodology worked well even with dull students and almost all my students have scored and are scoring well in the board exams.

Deepika Shivakumar

Swathi was very professional and knowledgeable. I highly recommend her for International students and domestic as well. I would definitely prefer her for my future Mathematical learning. Thanks

Skills: Mathematics , Physics and more
Also teaches: Nursery-KG Tuition, Computer and more

(72)
topTutorTop Tutor
locationImg Mathura Road, Delhi
20 yrs of Exp 14 students
greenClock 1590 hrs of classes completed
rsIcon 1000 per hour
Experienced and certified teacher from university
Online Classes Online Classes
regularClasses Tutor's home

For me, teaching is part of learning. As I am teaching I am also learning from my learners as they are diverse. Each learner in the classroom brings his or her unique background and ability. These are the elements that I invest in my teaching. Moreover, I allow learners to be themselves. This is a way of creating a conducive environment for learning.

Rithwik Rubesh

Its been a really nice teaching experience with Mr.Amit so far. He is very knowledgeable and a patient teacher. He always clarifies the concepts clearly and ensures good understanding.

Skills: Mathematics , Physics and more
Also teaches: SAT Coaching, Class 11 Tuition and more

(15)
topTutorTop Tutor
locationImg Ashok Vihar, Gurgaon
10 yrs of Exp 1 student
greenClock 218 hrs of classes completed
rsIcon 350 per hour
Experienced & Certified Maths Lecturer with 10+ years of teaching experience
Online Classes Online Classes

With a strong academic foundation in Mathematics, including an M.Sc. in Mathematics, B.Sc., BTC, and CTET qualification, I am a dedicated Mathematics educator committed to helping students build conceptual clarity, logical reasoning, and analytical problem-solving skills. I have been successfully teaching Mathematics for over 12 years through my coaching institute in Gurgaon, while also conducting engaging online classes for students across India and internationally. I teach students across CBSE, ICSE, NIOS, and State Boards, adapting my teaching methodology to suit each curriculum and the individual learning needs of every student. My teaching approach focuses on simplifying complex mathematical concepts through structured lesson planning, personalised instruction, continuous assessment, and interactive learning techniques. I believe every student can excel in Mathematics with the right guidance, consistent practice, and a strong conceptual foundation. I also specialise in Vedic Mathematics, helping students significantly improve calculation speed, accuracy, mental agility, and confidence in school, competitive, and entrance examinations. As an UrbanPro Super Tutor, I am recognised for consistently delivering high-quality teaching and maintaining excellent student and parent satisfaction. Over the years, I have helped hundreds of students achieve outstanding academic results while developing confidence and a genuine interest in Mathematics. My passion for teaching, commitment to academic excellence, and student-centred approach enable me to create an engaging, motivating, and result-oriented learning environment where every learner can achieve their highest potential. If you are looking for a dedicated and experienced Mathematics tutor who can help you achieve excellent results and build strong fundamentals, I invite you to book a demo class today. Let’s work together to make Mathematics simple, enjoyable, and rewarding for you!

Palak Gupta

Jaya mam helped me to learn different concepts of mathematics. She is very experienced and helpful. Thanks.

Skills: Mathematics
Also teaches: Class 9 Tuition, Class 7 Tuition and more

Find more Tutor for Criteria for similarity in your City


Other Subjects in CBSE - Class 10


FAQ

What is the meaning of Criteria for similarity?

It refers to a specific mathematical method or property in Triangles used to solve problems involving Criteria for similarity.

Why is Criteria for similarity important for CBSE - Class 10 exams?

This concept is crucial for the exams as questions related to Triangles and specifically Criteria for similarity are very common. It helps secure marks in the section effectively.

Is Criteria for similarity part of the latest NCERT syllabus?

Yes, Criteria for similarity is an integral part of the CBSE - Class 10 NCERT Mathematics syllabus. It is a key topic covered in the Triangles chapter.

What are common mistakes students make with Criteria for similarity?

Students often miss the minute details or fundamental definitions of Criteria for similarity. Regular revision and practice are needed to master the nuances.

How should I approach learning Criteria for similarity?

Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.

How can UrbanPro help me understand Criteria for similarity better?

UrbanPro connects you with experienced Mathematics tutors who can explain Criteria for similarity with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.

Find Best Class 10 Tuition ?

Find Now »