Class 7 Maths (Part II) Chapter 6 : Constructions and Tilings | Perpendicular Bisector, 90° Angle, Rectangles & Tiling Designs

Complete Chapter 6 (Part II) guide: constructing perpendicular bisectors using a compass and ruler (the 'Eyes' method), drawing a 90° angle at a point, bisecting an angle, constructing a rectangle using only a compass and ruler, ancient Indian construction methods from Śulba-Sūtras, exploring tiling patterns with regular polygons (why squares, equilateral triangles, and hexagons tile, but pentagons don't), plus solved examples and creative design activities for CBSE Class 7 Maths

Updated: 6 months ago

Categories: Class 7 Mathematics, NCERT Maths Notes 2025, Practical Geometry, Constructions, CBSE Exam Preparation, Practice Questions & Quizzes
Tags: class 7 maths chapter 6 part 2 notes, constructions and tilings class 7, construct perpendicular bisector compass, draw 90 degree angle using compass, angle bisection method, construct rectangle steps, sulba sutras geometry constructions, tiling with regular polygons, tessellation examples triangles squares hexagons, why pentagons do not tile, ganita prakash grade 7 part 2 chapter 6, cbse class 7 mathematics practical geometry part 2, ncert constructions solutions, extra questions mcq worksheet, class 7 maths blog summary quiz
Post Thumbnail
Class 7 Mathematics Chapter 6: Constructions and Tilings – Complete Notes, Solutions, Questions & Answers 2025

Constructions and Tilings

Class 7 Mathematics Chapter 6 | Complete Guide | Ruler & Compass 2025

Chapter at a Glance – Constructions and Tilings

This chapter focuses on exact geometric constructions using only ruler and compass, symmetry, special angles, regular polygons, and tiling concepts.

Main Topics Covered

  • Perpendicular bisector and its properties
  • Constructing 90°, 60°, 45°, 30°, 15° angles
  • Angle bisector and copying an angle
  • Constructing parallel lines
  • Regular hexagon and 60° angle via equilateral triangle
  • Arch designs and symmetric figures
  • Tiling regions and the plane (regular polygons)

Key Takeaways for Exams

Perpendicular Bisector

Line that bisects segment at 90°; points equidistant from ends lie on it.

90° Angle

Using perpendicular bisector of segment with midpoint on line.

Angle Bisector

Equal arcs from sides intersect on bisector.

60° Angle

From equilateral triangle construction.

Regular Hexagon

Six equilateral triangles around centre.

Tiling

Only equilateral triangles, squares, regular hexagons tile the plane.

Practice Quiz

Test your CBSE Class 7 Annual Assessment prep

🎁New here? Your first purchase is just ₹1 — 120 coins with code RAMANUJAN_1

Quizzes

10 questions · ~10 minutes · instant rank & AI diagnosis

3 attempts on CBSE Class 7 Annual Assessment quizzes
HIMAKSHI GUPTA . scored 2/10 on Integers and Rational Numbers Naavya Agarwal scored 0/10 on Integers and Rational Numbers Anshika Yadav scored 0/10 on Integers and Rational Numbers HIMAKSHI GUPTA . scored 2/10 on Integers and Rational Numbers Naavya Agarwal scored 0/10 on Integers and Rational Numbers Anshika Yadav scored 0/10 on Integers and Rational Numbers
#1

Integers and Rational Numbers Fundamentals | CBSE Class 7 Annual Assessment

10 Qs · ~10 min
#2

Class 7 Social Science — Banks and the Magic of Finance (Practice Quiz)

10 Qs · ~10 min
#3

Class 7 Social Science — Infrastructure: Engine of India's Development (Practice Quiz)

10 Qs · ~10 min
#4

Class 7 Social Science — The State, the Government, and You (Practice Quiz)

10 Qs · ~10 min
#5

Class 7 Social Science — India, a Home to Many (Practice Quiz)

10 Qs · ~10 min
#6

Class 7 Social Science — Turning Tides: 11th and 12th Centuries (Practice Quiz)

10 Qs · ~10 min
#7

Class 7 Social Science — Empires and Kingdoms: 6th to 10th Centuries (Practice Quiz)

10 Qs · ~10 min
#8

Class 7 Social Science — India and Her Neighbours (Practice Quiz)

10 Qs · ~10 min
#9

Class 7 Social Science — The Story of Indian Farming (Practice Quiz)

10 Qs · ~10 min
#10

Class 7 Social Science — Understanding Markets (Practice Quiz)

10 Qs · ~10 min
#11

Class 7 Social Science — From Barter to Money (Practice Quiz)

10 Qs · ~10 min
#12

Class 7 Social Science — The Constitution of India — An Introduction (Practice Quiz)

10 Qs · ~10 min
#13

Class 7 Social Science — From the Rulers to the Ruled: Types of Governments (Practice Quiz)

10 Qs · ~10 min
#14

Class 7 Social Science — How the Land Becomes Sacred (Practice Quiz)

10 Qs · ~10 min
#15

Class 7 Social Science — The Gupta Era: An Age of Tireless Creativity (Practice Quiz)

10 Qs · ~10 min
#16

Class 7 Social Science — The Age of Reorganisation (Practice Quiz)

10 Qs · ~10 min
#17

Class 7 Social Science — The Rise of Empires (Practice Quiz)

10 Qs · ~10 min
#18

Class 7 Social Science — New Beginnings: Cities and States (Practice Quiz)

10 Qs · ~10 min
#19

Class 7 Social Science — Climates of India (Practice Quiz)

10 Qs · ~10 min
#20

Class 7 Social Science — Understanding the Weather (Practice Quiz)

10 Qs · ~10 min
#21

Class 7 Social Science — Geographical Diversity of India (Practice Quiz)

10 Qs · ~10 min
#22

Class 7 Sanskrit — परिशिष्टम् २ — धातुरूपाणि एवं सन्धि-परिचयः (Practice Quiz)

10 Qs · ~10 min
#23

Class 7 Sanskrit — परिशिष्टम् १ — शब्दरूपाणि (Practice Quiz)

10 Qs · ~10 min
#24

Class 7 Sanskrit — वर्णमात्रा-परिचयः (Practice Quiz)

10 Qs · ~10 min
#25

Class 7 Sanskrit — वीराङ्गना पन्नाधाया (Practice Quiz)

10 Qs · ~10 min
#26

Class 7 Sanskrit — द्वीपेषु रम्यः द्वीपोऽण्डमानः (Practice Quiz)

10 Qs · ~10 min
#27

Class 7 Sanskrit — दशमः कः? (Practice Quiz)

10 Qs · ~10 min
#28

Class 7 Sanskrit — अन्नाद् भवन्ति भूतानि (Practice Quiz)

10 Qs · ~10 min
#29

Class 7 Sanskrit — हितं मनोहारि च दुर्लभं वचः (Practice Quiz)

10 Qs · ~10 min
#30

Class 7 Sanskrit — ईशावास्यम् इदं सर्वम् (Practice Quiz)

10 Qs · ~10 min
#31

Class 7 Sanskrit — क्रीडाम वयं श्लोकान्त्याक्षरीम् (Practice Quiz)

10 Qs · ~10 min
#32

Class 7 Sanskrit — सेवा हि परमो धर्मः (Practice Quiz)

10 Qs · ~10 min
#33

Class 7 Sanskrit — न लभ्यते चेत् आम्लं द्राक्षाफलम् (Practice Quiz)

10 Qs · ~10 min
#34

Class 7 Sanskrit — मित्राय नमः (Practice Quiz)

10 Qs · ~10 min
#35

Class 7 Sanskrit — नित्यं पिबामः सुभाषितरसम् (Practice Quiz)

10 Qs · ~10 min
#36

Class 7 Sanskrit — वन्दे भारतमातरम् (Practice Quiz)

10 Qs · ~10 min
#37

Class 7 Hindi — मीरा के पद (Practice Quiz)

10 Qs · ~10 min
#38

Class 7 Hindi — चिड़िया (Practice Quiz)

10 Qs · ~10 min
#39

Class 7 Hindi — बिरजू महाराज से साक्षात्कार (Practice Quiz)

10 Qs · ~10 min
#40

Class 7 Hindi — वर्षा-बहार (Practice Quiz)

10 Qs · ~10 min
#41

Class 7 Hindi — गिरिधर कविराय की कुंडलियाँ (Practice Quiz)

10 Qs · ~10 min
#42

Class 7 Hindi — नहीं होना बीमार (Practice Quiz)

10 Qs · ~10 min
#43

Class 7 Hindi — पानी रे पानी (Practice Quiz)

10 Qs · ~10 min
#44

Class 7 Hindi — फूल और काँटा (Practice Quiz)

10 Qs · ~10 min
#45

Class 7 Hindi — तीन बुद्धिमान (Practice Quiz)

10 Qs · ~10 min
#46

Class 7 Hindi — माँ, कह एक कहानी (Practice Quiz)

10 Qs · ~10 min
#47

Class 7 English — Bravehearts (Practice Quiz)

10 Qs · ~10 min
#48

Class 7 English — Travel and Adventure (Practice Quiz)

10 Qs · ~10 min
#49

Class 7 English — Dreams and Discoveries (Practice Quiz)

10 Qs · ~10 min
#50

Class 7 English — Wit and Humour (Practice Quiz)

10 Qs · ~10 min
#51

Class 7 English — Learning Together (Practice Quiz)

10 Qs · ~10 min
#52

Class 7 Maths — Finding the Unknown (Practice Quiz)

10 Qs · ~10 min
#53

Class 7 Maths — Constructions and Tilings (Practice Quiz)

10 Qs · ~10 min
#54

Class 7 Maths — Connecting the Dots… (Practice Quiz)

10 Qs · ~10 min
#55

Class 7 Maths — Another Peek Beyond the Point (Practice Quiz)

10 Qs · ~10 min
#56

Class 7 Maths — Finding Common Ground (Practice Quiz)

10 Qs · ~10 min
#57

Class 7 Maths — Operations with Integers (Practice Quiz)

10 Qs · ~10 min
#58

Class 7 Maths — Geometric Twins (Practice Quiz)

10 Qs · ~10 min
#59

Class 7 Maths — Working with Fractions (Practice Quiz)

10 Qs · ~10 min
#60

Class 7 Maths — A Tale of Three Intersecting Lines (Practice Quiz)

10 Qs · ~10 min
#61

Class 7 Maths — Number Play (Practice Quiz)

10 Qs · ~10 min
#62

Class 7 Maths — Parallel and Intersecting Lines (Practice Quiz)

10 Qs · ~10 min
#63

Class 7 Maths — Expressions Using Letter-Numbers (Practice Quiz)

10 Qs · ~10 min
#64

Class 7 Maths — A Peek Beyond the Point (Practice Quiz)

10 Qs · ~10 min
#65

Class 7 Maths — Arithmetic Expressions (Practice Quiz)

10 Qs · ~10 min
#66

Class 7 Maths — Large Numbers Around Us (Practice Quiz)

10 Qs · ~10 min
#67

Class 7 Science — Earth, Moon, and the Sun (Practice Quiz)

10 Qs · ~10 min
#68

Class 7 Science — Light: Shadows and Reflections (Practice Quiz)

10 Qs · ~10 min
#69

Class 7 Science — Life Processes in Plants (Practice Quiz)

10 Qs · ~10 min
#70

Class 7 Science — Life Processes in Animals (Practice Quiz)

10 Qs · ~10 min
#71

Class 7 Science — Measurement of Time and Motion (Practice Quiz)

10 Qs · ~10 min
#72

Class 7 Science — Heat Transfer in Nature (Practice Quiz)

10 Qs · ~10 min
#73

Class 7 Science — Adolescence: A Stage of Growth and Change (Practice Quiz)

10 Qs · ~10 min
#74

Class 7 Science — Changes Around Us: Physical and Chemical (Practice Quiz)

10 Qs · ~10 min
#75

Class 7 Science — The World of Metals and Non-metals (Practice Quiz)

10 Qs · ~10 min
#76

Class 7 Science — Electricity: Circuits and their Components (Practice Quiz)

10 Qs · ~10 min
#77

Class 7 Science — Exploring Substances: Acidic, Basic, and Neutral (Practice Quiz)

10 Qs · ~10 min
#78

Class 7 Science — The Ever-Evolving World of Science (Practice Quiz)

10 Qs · ~10 min
#79

Simple Equations and Applications Practice Quiz | CBSE Class 7 Annual Assessment

10 Qs · ~10 min
#80

Visualising Solid Shapes Advanced Challenge | CBSE Class 7 Annual Assessment

10 Qs · ~10 min
#81

Tracing Changes Through Time Fundamentals | CBSE Class 7 Annual Assessment

10 Qs · ~10 min
#82

Nutrition in Plants Fundamentals | CBSE Class 7 Annual Assessment

10 Qs · ~10 min

Group Discussions

No forum posts available.

Easily Share with Your Tribe