Kerala SCERT · Mathematics · Standard IX · Chapter 6

Similar Triangles സദൃശത്രികോണങ്ങൾ

An interactive, animated self-study guide. Everything you need is here: the basics from earlier classes, every idea in the chapter with real-life examples, animated solutions to every textbook question, a revision sheet, and a model test with a fully solved paper.

How to use this guide

🎬 Watch the animations

Every idea has a step-by-step animation. Press Next ▶ to move one step at a time, or ▶▶ Auto play to watch it like a video. You can go back any time.

🖐️ Play with the figures

Orange dots can be dragged. Sliders change the scale factor. Watching the numbers change is the fastest way to feel why the theorems are true.

✍️ Try before you see

Questions come with a Show answer button. Always attempt the question in your notebook first, then check. The quizzes give instant feedback.

📖 Textbook links

Purple മലയാളം words are the exact terms used in your textbook, so you can match every page here with the book (pages 99–118).

Learning path

Follow the pages in order. If you are confident about triangles from Class 8, you may skim pages 1–4, but do try their quizzes.

Part A · Build the foundation (nothing assumed from Class 8)
Part B · The chapter, idea by idea
Part C · Use it, revise it, test yourself

The chapter in one picture

🔺 Same shape, different size

Two triangles are similar (സദൃശം) when one is an enlargement or reduction of the other: the angles stay the same and every side is multiplied by the same number (the scale factor). This chapter proves exactly when that happens and how to use it.

Quick glossary (Malayalam ↔ English)

Textbook termEnglishMeaning
സദൃശത്രികോണങ്ങൾSimilar trianglesSame angles; sides in the same ratio
തുല്യത്രികോണങ്ങൾCongruent (equal) trianglesSame angles and same side lengths
തോത് / scale factorScale factorThe number every side is multiplied by
അംശബന്ധംRatioComparison of two lengths, e.g. 3 : 4 or ¾
സമാന്തരവരകൾParallel linesLines that never meet; same slope
ലംബംPerpendicularAt 90°
കർണ്ണംHypotenuseLongest side of a right triangle
പരപ്പളവ്AreaSpace inside the shape
പരിവൃത്തംCircumcircleCircle through all three vertices
സമഭാജിBisectorLine that cuts an angle into two equal halves

Made for self-learning. Works offline – every page is a single file. Author of the study material: Claude, prepared for Madhu's family study folder, September 2026.