Skip to main content
Super TutorResources
Chapter 18 of 25
Formula Sheet

Constructions (Using Ruler and Compass only) — Formula Sheet

ICSE · Class 8 · Mathematics

9 formulas from Constructions (Using Ruler and Compass only) (ICSE Class 8 Mathematics) on one page, grouped by topic.

104 questions40 flashcards9 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Constructions (Using Ruler and Compass only)? Get the full interactive chapter.

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

Try Super Tutor — Free

Free trial, no card needed.

9 Entries · 4 Sections

Formulas and Key Relations

Basic Angle Constructions

∠ABP = ∠PBC = 1/2 ∠ABC

∠PBC = 1/2 ∠ABC = 1/2 × 60° = 30°

∠ABC = ∠ABO = 90°/2 = 45°

∠ABC = 90°

Bisector of a Line Segment and Perpendicular Bisector

OB = OC = 1/2 BC

OB = OC and ∠POC = 90°

Perpendicular to a Line

∠OPA = ∠OPB = 90°

∠AOP = ∠BOP = 90°

Key relations

The relation used is ∠PBC = 1/2 ∠ABC = 1/2 × 60° = 30°.

Full sheet with units and worked examples

View All

Frequently Asked Questions

What are the important topics in Constructions (Using Ruler and Compass only) for ICSE Class 8 Mathematics?
Key topics in Constructions (Using Ruler and Compass only) include Angle Construction Basics, Bisector of an Angle and of a Line Segment, Perpendiculars and Parallels, Quadrilateral Constructions. Study these first, then practise questions on each for Class 8 exams.
How many formulas are in Constructions (Using Ruler and Compass only)?
This sheet lists 9 formulas from Constructions (Using Ruler and Compass only), grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Constructions (Using Ruler and Compass only) for Class 8 exams?
Learn the core ideas first, then work through the 104 practice questions on Constructions (Using Ruler and Compass only). 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 Constructions (Using Ruler and Compass only)

All ICSE Class 8 Mathematics Formula Sheet

For serious students

Get the full Constructions (Using Ruler and Compass only) chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 8 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free