Mathematics Exam > Mathematics Notes > Additional Topics for IIT JAM Mathematics > Similarity between Triangles and Polygons
Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics PDF Download
Polygons
Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional:
In the figure above the ratio or the scale factor of the quadrilateral to the left versus the quadrilateral to the right is ½. We could also turn it around and say that the scale factor for the quadrilateral to the right to the quadrilateral to the left is 2.
Triangles
If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.
If a line is drawn in a triangle so that it is parallel to one of the sides and it intersects the other two sides then the segments are of proportional lengths:
Parts of two triangles can be proportional; if two triangles are known to be similar then the perimeters are proportional to the measures of corresponding sides.
Continuing, if two triangles are known to be similar then the measures of the corresponding altitudes are proportional to the corresponding sides.
Lastly, if two triangles are known to be similar then the measures of the corresponding angle bisectors or the corresponding medians are proportional to the measures of the corresponding sides.
The bisector of an angle in a triangle separates the opposite side into two segments that have the same ratio as the other two sides:
The document Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics is a part of the Mathematics Course Additional Topics for IIT JAM Mathematics.
All you need of Mathematics at this link: Mathematics
FAQs on Similarity between Triangles and Polygons - Additional Topics for IIT JAM Mathematics
| 1. What is the difference between a triangle and a polygon? |  |
Ans. A triangle is a type of polygon that has three sides and three angles. A polygon, on the other hand, is a closed figure with straight sides and angles. So, while all triangles are polygons, not all polygons are triangles.
| 2. Can a triangle be considered a polygon? | |
Ans. Yes, a triangle is a type of polygon. A polygon is a closed figure with straight sides and angles, and a triangle fits this definition as it has three sides and three angles.
| 3. Are all polygons made up of triangles? | |
Ans. No, not all polygons are made up of triangles. Polygons can have any number of sides, and while triangles are polygons, polygons can also have more than three sides. For example, a square or a pentagon are polygons that are not made up of triangles.
| 4. What are some properties of triangles and polygons? | |
Ans. Triangles have unique properties such as the sum of their interior angles being equal to 180 degrees, and the sum of any two sides being greater than the third side. Polygons, in general, have properties related to the number of sides, angles, and symmetry. For example, the sum of the interior angles of an n-sided polygon is given by (n-2) * 180 degrees.
| 5. How are triangles and polygons used in real-world applications? | |
Ans. Triangles and polygons have numerous real-world applications. In architecture and construction, they are used to design and create structures with specific shapes and angles. In computer graphics and animation, polygons are used to create 3D models and render realistic images. Triangles are also used in surveying and GPS systems to calculate distances and locations accurately.
Related Exams
About this Document
|
4.92/5 Rating |
|
Dec 26, 2024 Last updated |
Document Description: Similarity between Triangles and Polygons for Mathematics 2024 is part of Additional Topics for IIT JAM Mathematics preparation.
The notes and questions for Similarity between Triangles and Polygons have been prepared according to the Mathematics exam syllabus. Information about Similarity between Triangles and Polygons covers topics
like and Similarity between Triangles and Polygons Example, for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Similarity between Triangles and Polygons.
Introduction of Similarity between Triangles and Polygons in English is available as part of our Additional Topics for IIT JAM Mathematics
for Mathematics & Similarity between Triangles and Polygons in Hindi for Additional Topics for IIT JAM Mathematics course.
Download more important topics related with notes, lectures and mock test series for Mathematics
Exam by signing up for free. Mathematics: Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics
Description
Full syllabus notes, lecture & questions for Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics - Mathematics | Plus excerises question with solution to help you revise complete syllabus for Additional Topics for IIT JAM Mathematics | Best notes, free PDF download
Information about Similarity between Triangles and Polygons
In this doc you can find the meaning of Similarity between Triangles and Polygons defined & explained in the simplest way possible. Besides explaining types of
Similarity between Triangles and Polygons theory, EduRev gives you an ample number of questions to practice Similarity between Triangles and Polygons tests, examples and also practice Mathematics
tests
|
Explore Courses for Mathematics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Summary
,Free
,ppt
,mock tests for examination
,Previous Year Questions with Solutions
,video lectures
,Viva Questions
,Extra Questions
,Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics
,practice quizzes
,past year papers
,study material
,Exam
,MCQs
,Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics
,shortcuts and tricks
,Sample Paper
,Objective type Questions
,Semester Notes
,Important questions
,Similarity between Triangles and Polygons | Additional Topics for IIT JAM Mathematics
;
Additional Information about Similarity between Triangles and Polygons for Mathematics Preparation
Similarity between Triangles and Polygons Free PDF Download
The Similarity between Triangles and Polygons is an invaluable resource that delves deep into the core of the Mathematics exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Similarity between Triangles and Polygons now and kickstart your journey towards success in the Mathematics exam.
Importance of Similarity between Triangles and Polygons
The importance of Similarity between Triangles and Polygons cannot be overstated, especially for Mathematics aspirants.
This document holds the key to success in the Mathematics exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Similarity between Triangles and Polygons Notes
Similarity between Triangles and Polygons Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Similarity between Triangles and Polygons.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Similarity between Triangles and Polygons Notes on EduRev are your ultimate resource for success.
Similarity between Triangles and Polygons Mathematics Questions
The "Similarity between Triangles and Polygons Mathematics Questions" guide is a valuable resource for all aspiring students preparing for the
Mathematics exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Similarity between Triangles and Polygons on the App
Students of Mathematics can study Similarity between Triangles and Polygons alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Similarity between Triangles and Polygons,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Similarity between Triangles and Polygons is prepared as per the latest Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup