Skip to main content
Super TutorResources
Chapter 12 of 28
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Mid-Point and Its Converse

ICSE · Class 9 · Mathematics

Complete topic list for Mid-Point and Its Converse in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

44 questions20 flashcards4 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 syllabus and more.

Try Super Tutor — Free

1,000+ Class 9 students started this chapter today

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

This is just one of 6+ visuals inside Super Tutor's Mid-Point and Its Converse chapter

Explore the full set
4 Topics · ICSE Class 9 Mathematics

Topics in Mid-Point and Its Converse

1

Mid-Point Theorem (Theorem 6)

  • The line segment joining the midpoints of any two sides of a triangle is parallel to the third side
  • This connecting line segment is equal to half the length of the third side
  • If D and E are midpoints of sides AB and AC respectively, then DE ∥ BC and DE = ½BC
2

Converse of Mid-Point Theorem (Theorem 7)

  • If a line through the midpoint of one side of a triangle is parallel to another side, it bisects the third side
  • This theorem is the reverse of the midpoint theorem
  • Used to prove that a point is a midpoint when parallel conditions are given
3

Applications in Quadrilaterals

  • Joining midpoints of adjacent sides of any quadrilateral forms a parallelogram
  • In a rectangle, joining midpoints forms a rhombus
  • In a parallelogram, the line through midpoints of opposite sides passes through the center
4

Equal Intercept Theorem (Theorem 8)

  • If a transversal makes equal intercepts on three or more parallel lines, any other transversal will also make equal intercepts
  • This theorem extends the concept of proportional division to multiple parallel lines
  • Used to prove equal divisions without directly measuring lengths

Key Concepts

The line segment joining the midThe straight line drawn throughIf a transversal makes equal interceptsMid

Frequently Asked Questions

What are the important topics in Mid-Point and Its Converse for ICSE Class 9 Mathematics?
Mid-Point and Its Converse covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Mid-Point and Its Converse — ICSE Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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 28 chapters — ICSE Class 9 Mathematics Syllabus

For serious students

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

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free