Skip to main content
Super TutorResources
Chapter 12 of 28
Revision Notes

Mid-Point and Its Converse — Revision Notes

ICSE · Class 9 · Mathematics

Mid-Point and Its Converse revision notes for ICSE Class 9 Mathematics: 4 topics in quick points. Part of the ICSE Class 9 Mathematics syllabus.

34 questions25 flashcards5 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Mid-Point and Its Converse? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

A step-by-step visual proof of the Mid-Point Theorem, showing a triangle ABC with D and E as mid-points of AB and AC respectively. Construction involves drawing CF parallel to BA, extending DE to F, a
Super Tutor

One of 6 illustrations for Mid-Point and Its Converse in Super Tutor — alongside flashcards, concept maps and practice questions.

Key Topics to Revise

1

1. Mid-Point Theorem

  • The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.
  • In triangle ABC, D and E are the mid-points of sides AB and AC respectively.
  • The construction in the proof draws CF parallel to BA and meeting DE produced at F.
2

2. Converse of Mid-Point Theorem

  • The straight line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side.
  • In triangle ABC, D is the mid-point of AB and DE is drawn parallel to BC.
  • The conclusion is that E is the mid-point of AC, so AE = EC.
3

3. Applications of the Mid-Point Theorem

  • Joining the mid-points of the adjacent sides of a quadrilateral gives a parallelogram.
  • In quadrilateral ABCD, P, Q, R, S are the mid-points of AB, BC, CD, DA.
  • In triangle ABD, PS is parallel to BD and PS equals half of BD.
4

4. Equal Intercept Theorem and Its Use

  • If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts.
  • In the theorem, transversal AB makes equal intercepts PQ = QR on three parallel lines l, m, and n.
  • Another transversal CD cuts the same three parallel lines and makes intercepts LM and MN.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

If D and E areIf a line passes throughIf a transversal makes equal interceptsIf PIn a trapezium ABCD with AB

Frequently Asked Questions

What are the important topics in Mid-Point and Its Converse for ICSE Class 9 Mathematics?
Key topics in Mid-Point and Its Converse include Mid-Point Theorem, Converse of Mid-Point Theorem, Applications of the Mid-Point Theorem, Equal Intercept Theorem and Its Use. Study these first, then practise questions on each for Class 9 exams.
How should I revise Mid-Point and Its Converse for Class 9 exams?
Learn the core ideas first, then work through the 34 practice questions on Mid-Point and Its Converse. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Mid-Point and Its Converse

All ICSE Class 9 Mathematics Revision Notes

For serious students

Get the full Mid-Point and Its Converse chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 9 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free