Mathematics Exam > Mathematics Notes > Additional Topics for IIT JAM Mathematics > Quadrilaterals - General Geometry
Quadrilaterals - General Geometry | Additional Topics for IIT JAM Mathematics PDF Download
Angles
It is common knowledge that the sum of the angles in a triangle is 180° but how about in polygons with a greater numbers of angles? If we are given a convex polygon with n sides and S is the sum of the measures of the interior angles then S = 180(n - 2).
Example
Find the sum of the measures of the interior angles in an octagon.
The octagon has 8 sides and we plug this value into our formula:
S = 180(8 - 2) = 1080°
Hence the sum of the measures of the interior angles in an octagon is 1080°.
Another thing with convex polygons is that the sum of the measures of the exterior angles is always 360°
m∠A + m∠B + m∠C + m∠D + m∠E + m∠F = 360
Properties of parallelograms
One special kind of polygons is called a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel.
There are six important properties of parallelograms to know:
1. Opposite sides are congruent (AB = DC).
2. Opposite angels are congruent (D = B).
3. Consecutive angles are supplementary (A + D = 180°).
4. If one angle is right, then all angles are right.
5. The diagonals of a parallelogram bisect each other.
6. Each diagonal of a parallelogram separates it into two congruent triangles.
△ACD ≅ △ABC
If we have a parallelogram where all sides are congruent then we have what is called a rhombus. The properties of parallelograms can be applied on rhombi.
If we have a quadrilateral where one pair and only one pair of sides are parallel then we have what is called a trapezoid. The parallel sides are called bases while the nonparallel sides are called legs. If the legs are congruent we have what is called an isosceles trapezoid.
In an isosceles trapezoid the diagonals are always congruent. The median of a trapezoid is parallel to the bases and is one-half of the sum of measures of the bases.
The document Quadrilaterals - General Geometry | 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 Quadrilaterals - General Geometry - Additional Topics for IIT JAM Mathematics
| 1. What are the properties of a quadrilateral? |  |
Ans. A quadrilateral is a polygon with four sides and four vertices. The properties of a quadrilateral include:
- The sum of the interior angles is always equal to 360 degrees.
- Opposite angles are equal.
- The opposite sides are parallel in a parallelogram.
- The diagonals bisect each other in a parallelogram.
| 2. What are the types of quadrilaterals? | |
Ans. There are different types of quadrilaterals, including:
- Parallelogram: A quadrilateral with both pairs of opposite sides parallel.
- Rectangle: A parallelogram with all angles equal to 90 degrees.
- Square: A parallelogram with all sides equal in length and all angles equal to 90 degrees.
- Rhombus: A parallelogram with all sides equal in length.
- Trapezoid: A quadrilateral with one pair of opposite sides parallel.
| 3. How do you find the area of a quadrilateral? | |
Ans. The area of a quadrilateral can be found using different formulas depending on the type of quadrilateral:
- Parallelogram: The area is given by base times height.
- Rectangle: The area is given by length times width.
- Square: The area is given by side length squared.
- Rhombus: The area is given by the product of the diagonals divided by 2.
- Trapezoid: The area is given by the average of the lengths of the parallel sides multiplied by the height.
| 4. Can a quadrilateral have all sides equal in length but not all angles equal? | |
Ans. No, a quadrilateral with all sides equal in length is a special type called a square. In a square, all angles are also equal to 90 degrees. If a quadrilateral has all sides equal but not all angles equal, it would be a rhombus.
| 5. What is the sum of the angles in a quadrilateral? | |
Ans. The sum of the angles in a quadrilateral is always equal to 360 degrees. This means that if you add up all the interior angles of a quadrilateral, the total sum will be 360 degrees.
Related Exams
About this Document
|
4.67/5 Rating |
|
Nov 22, 2024 Last updated |
Document Description: Quadrilaterals - General Geometry for Mathematics 2024 is part of Additional Topics for IIT JAM Mathematics preparation.
The notes and questions for Quadrilaterals - General Geometry have been prepared according to the Mathematics exam syllabus. Information about Quadrilaterals - General Geometry covers topics
like and Quadrilaterals - General Geometry Example, for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Quadrilaterals - General Geometry.
Introduction of Quadrilaterals - General Geometry in English is available as part of our Additional Topics for IIT JAM Mathematics
for Mathematics & Quadrilaterals - General Geometry 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: Quadrilaterals - General Geometry | Additional Topics for IIT JAM Mathematics
Description
Full syllabus notes, lecture & questions for Quadrilaterals - General Geometry | 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 Quadrilaterals - General Geometry
In this doc you can find the meaning of Quadrilaterals - General Geometry defined & explained in the simplest way possible. Besides explaining types of
Quadrilaterals - General Geometry theory, EduRev gives you an ample number of questions to practice Quadrilaterals - General Geometry 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
Quadrilaterals - General Geometry | Additional Topics for IIT JAM Mathematics
,Summary
,Extra Questions
,Sample Paper
,Objective type Questions
,Viva Questions
,MCQs
,practice quizzes
,study material
,Semester Notes
,video lectures
,Quadrilaterals - General Geometry | Additional Topics for IIT JAM Mathematics
,ppt
,Important questions
,past year papers
,Quadrilaterals - General Geometry | Additional Topics for IIT JAM Mathematics
,Free
,shortcuts and tricks
,mock tests for examination
,Exam
,Previous Year Questions with Solutions
;
Additional Information about Quadrilaterals - General Geometry for Mathematics Preparation
Quadrilaterals - General Geometry Free PDF Download
The Quadrilaterals - General Geometry 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 Quadrilaterals - General Geometry now and kickstart your journey towards success in the Mathematics exam.
Importance of Quadrilaterals - General Geometry
The importance of Quadrilaterals - General Geometry 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.
Quadrilaterals - General Geometry Notes
Quadrilaterals - General Geometry Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Quadrilaterals - General Geometry.
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, Quadrilaterals - General Geometry Notes on EduRev are your ultimate resource for success.
Quadrilaterals - General Geometry Mathematics Questions
The "Quadrilaterals - General Geometry 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 Quadrilaterals - General Geometry on the App
Students of Mathematics can study Quadrilaterals - General Geometry alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Quadrilaterals - General Geometry,
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 Quadrilaterals - General Geometry is prepared as per the latest Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup