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ICSE Class 9 Mathematics Revision Notes Chapter 12 - Mid-point and Its Converse

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Last updated date: 23rd Apr 2024
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Revision Notes for ICSE Class 9 Mathematics Chapter 12 - Free PDF Download

Download the Class 9 Mathematics Chapter 12 - Mid-point and Its Converse (Including Intercept Theorem) Revision Notes & Short Key-notes prepared by our expert Math teachers based on the latest CISCE guidelines. Register for online Maths tuition on Vedantu to clear your doubts.

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Competitive Exams after 12th Science

Class 9 Maths Chapter 12 Mid-Point and Its Converse

This chapter explains the different theorems based on the mid-points on the sides of the triangle. Following are the theorems you will read in this particular chapter:

  1. Mid-point Theorem:

  • The line segment joining the midpoints of the two sides of the triangle is parallel to the third side of the triangle.


  1. Theorem: The Converse of Midpoint: 

  • When a line goes through the centre of one side of a triangle, staying parallel to another side, and bisects the third side. 


  1. Equal Intercept Theorem:

  • If there are equal intercepts on three or more parallel lines, it so happens that if there is another line cutting them, it will also make equal intercepts.


Download Class 9 ICSE Maths Chapter 12 Revision Notes PDF

Revision helps you retain things for a long time. Experts of Maths available at Vedantu suggest making notes while studying a new topic or a lesson; so that it becomes easy to revise those topics in less time. Notes of Class 9 Chapter 12 - Mid-point and Its Converse help you revise the important topics of the chapter, Maths experts of Vedanta have concisely explained different theorems to make it easy for you.


Download the notes for free on your device or laptop. All you need to do is sign up with your valid email id or use your phone number to get it. 

FAQs on ICSE Class 9 Mathematics Revision Notes Chapter 12 - Mid-point and Its Converse

1. What is the Converse of the Mid-point Theorem?

The Converse of Mid-point Theorem is proof of a line drawn from the mid-point of the one side of the triangle parallel to another line bisects the third line. To prove this theorem, you will use the concept of congruence in the triangle, which you have already studied earlier. It is an important theorem that helps you solve complex numerical problems based on triangular geometry. You can download the notes to learn the thorough proof of the theorem.

2. Do I need to study all theorems given in the Class 9 ICSE Maths Chapter 12?

Yes, it is necessary to learn all theorems given in Class 9 of the ICSE Maths Chapter 12 Mid-point and Its Converse. In exams, questions have come based on these theorems, and that's why Vedantu experts have included them in the revision notes to guide your preparation in the right direction. Practice each theorem, and to implement your learning, download the important questions from Vedantu.com. Prepare with the best Maths teachers of Vedantu to ace your examination. 

3. How to join Vedantu online Maths tuition for Class 9 ICSE?

You can join the Vedantu online tuition for ICSE board Class 9 by registering online. Vedantu provides you with excellent Maths teachers to help students achieve their goals and get good marks in the examination. Vedantu offers online tuition for every class of the ICSE board for each subject. Vedantu learning helps you understand the in-depth knowledge of the concepts. Register today! to open the Vedantu pro courses.

4. How to download important questions of Class 9 Chapter 12 Maths ICSE?

Every question is important from Chapter 12 of Class 9 Maths for the exams. There is no permanent number of important questions that you can find online or anywhere, though you can download an important topics list from the exam point of view that will help you prepare efficiently. Class 9 includes essential concepts that help you in the higher classes to solve complex and lengthy problems. You can download it from the website or install an app from the google play store.

5. What is the use of Chapter 12 - Mid-points and Its Converse?

In Chapter 12 of Class 9, you study some important theorems that give you a detailed explanation of the geometry of a close bounded plan having three sides, i.e., a triangle. This chapter learning will aid you in higher classes or any streams of mathematics where triangular geometry is the main focus. In engineering drawing, these things help you study intricate diagrams.