Find the best tutors and institutes for Class 10 Tuition
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.
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
- Area of similar triangles
- EXERCISE 6.1
- EXERCISE 6.2
- EXERCISE 6.3
- Pythagoras theorem and converse
- Similar figures
Other Concept Videos for Criteria for similarity
How to Prove Shapes are Similar
CBSE - Class 10>Mathematics>Triangles>Criteria for similarity
Top Tutors who teach Criteria for similarity
Top Tutor 
Kazipet, Warangal 
1 student 
50 hrs of classes completed 
Online Classes 
Student's Home 
Tutor's home I have 5years of teaching experience where I implement Inductive ,Deductive teaching techinques in mathematics. I begin the teaching concepts of maths with basic level to high level which ensures the teaching learning process occurs even a below average student I make special work sheets for the brain nutrient students and also to the below average students ,so that helps students to become learn individually according to their level. In teaching maths concepts regarding Geometry , Trignometry and Areas and Circles here I use the concrete to semi concrete from thier i take them to abstract so child can easily familiar to the concept, teaching learning process occurs in a positive way. In teaching maths I use heuristic method which creates an enthusiasm among the students to learn maths subject and it eradicate the fear of maths from the students. As a teacher I teach according to the students taste and their interests, so teaching learning process will be occurred in a meaningful way. I observe the individual difference of the students while teaching, so that I can plan to teach according individual difference of the different students in the classroom. I use remedial class for the slow learners to develop in the subject. In this remedial session I mostly concentrating on the basic of maths subject so children can overcome the previous misunderstanding concepts regarding maths and here it will be taught his doubts regarding subject will be clarified. By teaching maths subject I make students all round development which is very valuable in the life.
Top Tutor Bicholi Mardana Neer Nagar, Indore 12 students 362 hrs of classes completed 
900 per hour Online Classes I have Taught 3 years in CBSE board and 5 years In ICSE board in class 10 with 100% results.Got an opportunity to go for CBSE board class 10 Maths copy correction.Was Board examiner head for ICSE .
Pragya ma'am is amazing! She helped me with maths a lot! Great teacher!
Top Tutor Ashok Nagar D' Souza Layout, Bangalore 7 students 184 hrs of classes completed 300 per hour Online Classes I am an experienced , qualified with experience of 5 years , across different boards including CBSE, ICSE, IGCSE and State Board. Passionate about teaching, over the years I have helped thousands of students .
Super Tutor T Nagar, Chennai 43 students 1062 hrs of classes completed 500 per hour Online Classes BDS Graduate from Government Dental College, Chennai | CBSE Class 10 Science & Maths | Class 11-12 Biology & Chemistry | NEET Biology & Chemistry Mentor About Me I am a BDS graduate from Government Dental College, Chennai, with a strong academic foundation in Biology, Chemistry and the life sciences. My passion for teaching led me to become a full-time online educator, helping students build confidence through conceptual learning rather than rote memorization. My teaching approach is designed to help students understand concepts from the basics and gradually progress to exam-level application. Every class is interactive, student-friendly and tailored to the learner's pace. What students can expect ✔ Strong conceptual understanding from fundamentals ✔ NCERT-focused teaching for Boards and NEET ✔ Step-by-step explanation of difficult topics ✔ Previous Year Questions and exam-oriented practice ✔ Regular MCQs, assignments and chapter-wise tests ✔ Doubt-solving sessions and revision classes ✔ Personalized study plans based on each student's strengths and weaknesses ✔ Time management and exam strategy guidance Why learn with me? Being a healthcare professional has given me an in-depth understanding of Biology and Chemistry, enabling me to explain even complex topics in a simple, logical and relatable manner. I have successfully guided students in improving their conceptual understanding, academic confidence and examination performance. My objective is not just to help students score high marks but also to develop genuine interest and long-term understanding of the subject. I believe every student can excel with the right guidance, structured learning and regular practice. My classes are supportive, interactive and result-oriented, ensuring students gain both knowledge and confidence. Subjects 🔷️Class 10 (CBSE & State Board): ▪️Science ▪️Mathematics 🔷️Class 11 & 12 (CBSE): ▪️Biology ▪️Chemistry 🔷️NEET Preparation: ▪️Biology ▪️Chemistry 🔷️NCERT Line-by-Line Learning MCQ Practice Previous Year Questions Exam Strategy Doubt Solving One suggestion Book a demo class and experience concept-based learning that makes studying easier, smarter and more effective.
Dr Nandhini ma'am's methodology is appreciable, and she is approachable too. Her repeated questioning of the kids made them feel lively in class, and it helped a lot. Thank you, ma'am, for your kind, encouraging words to my kid.
Nanmangalam, Chennai 2 students 88 hrs of classes completed 260 per hour Online Classes Tutor's home Hi, my name is M.Praveshika. I am a graduate in Master of Philosophy (Mathematics) from Stella Maris College. During my degree, I have developed an easy algorithm for solving certain graphs in my specialization paper. I spent my spare time by tutoring my cousins and working with them gave me a new understanding how students are facing problems in understanding the concepts. So i started my career as a Subject Matter Expert (EzeeScore) which enabled me to utilize my skills and knowledge for the growth of the students as well as to the organisation. My key skills are Leadership, Time maganement, Decision making and Problem solving.
Find more Tutor for Criteria for similarity in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Chennai Mathematics Tutors
- Gurgaon Mathematics Tutors
- Noida Mathematics Tutors
- Hyderabad Mathematics Tutors
- Mumbai Mathematics Tutors
- Chandigarh Mathematics Tutors
- Surat Mathematics Tutors
- Pune Mathematics Tutors
- Ghaziabad Mathematics Tutors
- Jaipur Mathematics Tutors
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.
