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Formula Sheet

Mid-Point and Its Converse — Formula Sheet

ICSE · Class 9 · Mathematics

5 formulas from Mid-Point and Its Converse (ICSE Class 9 Mathematics) on one page, grouped by topic. Part of the ICSE Class 9 Mathematics syllabus.

34 questions25 flashcards5 formulas & key relations5 concepts

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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
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5 Entries · 2 Sections

Formulas and Key Relations

Core Theorems

DE // BC and DE = 1/2 BC

If D is mid-point of AB and DE // BC, then AE = EC

If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts

Key relations

In a trapezium ABCD with AB // DC, if E and F are the mid-points of the non-parallel sides AD and BC, then 2EF = AB + DC, i.e.

EF = 1/2(AB + DC).

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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 many formulas are in Mid-Point and Its Converse?
This sheet lists 5 formulas from Mid-Point and Its Converse, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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.

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All ICSE Class 9 Mathematics Formula Sheet

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