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Chapter 14 – Practical Geometry

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

Introduction

Practical geometry is the real-life geometrical drawings and constructions that depict the objects’ position, shape, size, and other dimensional properties. The topic is explained well in the NCERT maths’ Constructions’ chapter, where you have to deal with different geometric tools and concepts of constructions. Note that you may be required to draw the circles, a line segment, or any perpendicular angles in your exam. In this article, we’ll talk in detail about the different concepts of practical geometry.

Practical geometry is the real-time construction of different geometrical entities with the correct shape, size, and dimension. We use different geometrical instruments for the construction work. Geometry is a fun, application-based subject that is loved by all students. Let’s look at some basic geometrical tools that we use in our daily lives as geometry students.

Here are some basic geometrical tools that are used in practical geometry and constructions.

  • Divider: These instruments are used to compare any given arc or line segment’s finite lengths, and redraw that arc or line segment.
  • Protractor: It is a scale that consists of angles and is used to draw any specific angle starting from 0 to 180 degrees.
  • Set Squares: These instruments are used to draw perpendicular and parallel lines.
  • Compass: It is a basic multi-purpose instrument that helps you draw angles, line segments, and perpendicular bisectors of any line/ angles.
  • Ruler: It is a linear scale that consists of length metrics.

Let’s discuss the basic concepts of construction and geometry. These basic concepts build geometrical shapes and figures that we use in our daily life.

Here are some basic geometry concepts that are used in geometrical constructions of shapes and figures.

  • Line Segment: Any line bounded by two extreme points. The length of the line segments is finite and can be adjusted as per our need.
  • Rays: A part of a line bounded by a point at one end. Rays can be projected infinitely from the arrowed directing.
  • Perpendicular: A perpendicular is a line segment that rests on a baseline and is at 90 degrees with the baseline.
  • Parallel Lines: In parallel lines, two infinite lines run at an identical distance from one another. The perpendicular distance between these two lines is always constant at any point of the line.
  • Circles: A polygon with infinite sides or a locus that is equidistant from a fixed focus.
  • Angles: It is the rotation of one hand from a base hand with angles as a measuring factor. We can even convert these angles into the distance. Two rays with a common endpoint form Angles.

Constructing the Line Segment of a copy:

Given any line segment of any finite length, we can construct a line segment using a compass and ruler.

  • Measure the line segment AB using the ruler.
  • Now you can draw a similar line using the ruler.
  • But what if you don’t have a ruler and are provided with only a compass. Then also, you can make the line segment.
  • Keep the pointed end of the compass on one end of the line segment. The other end of the compass should touch the other end of the line segment.
  • Now using that extended length, draw an arc on the sheet. Now join any point on the arc with the origin point of that locus.

Constructing a Circle using Ruler and Compass:

You can draw a perpendicular using a simple compass and ruler. Let’s construct the perpendicular now.

  • Draw a line segment on the paper using the ruler and pencil.
  • Now take any finite length in the compass smaller than the line segment.
  • Using the one end of the line segment as the origin, make an arc on one side of the line segment. Now repeat this process by using the other line segment end as your origin. Intersect the first arc.
  • Using the same compass length, do this same process on the other side of the line segment. Now join the two intersected arcs on both sides of the line segment.
  • You’ll get a perpendicular line segment.

Practical geometry is an important topic of maths, where you learn about the practical applications and constructions of geometrical shapes and figures. We use different geometrical tools manually to get the desired geometrical figure. There are some basic geometrical constructions like constructing a circle, a line segment, or perpendicular lines that can help you in the beginning. Most of the complex geometrical constructions are based on these simple and basic construction units.

  • What are the three types of geometry?

There are three types of geometry in two-dimensional spaces. Those are Euclidean geometry, spherical geometry, and hyperbolic geometry.

  • What is the meaning of geometry?

Geometry is a branch of mathematical studies that deals with various shapes, figures, sizes, points, lines, solids, and surfaces. We construct these geometrical figures according to the specified dimensions.

  • What are the 2 types of geometry?

The two types of a broad class of geometry are Euclidean geometry and Non-Euclidean geometry.

  • Why is it important to study geometry?

Geometry is important in real-life applications. You construct various products and buildings, streamline any product under a regulated process, connect mapping objects, and much more. Every monument and building are first built using geometrical tools on paper and analysed. It’s all possible due to geometry.

  • How do you understand geometry?

If you are familiar with the basic concepts of line segments, angles, perpendicular, and shapes, then geometry is easy to comprehend.

  • What are the basics of geometry?

The basics of geometry are line segments, lines, angles, arcs, rays, planes, and more. These form the basis of more complex construction of shapes and figures.

To explore more, visit MSVgo – a video-based learning app with a video library, designed to explain complex concepts through simple, interactive, and explanatory visualisations. It also has interactive games to sharpen your skills and numerous quizzes to aid recall. Download the app and start exploring now!

High School Physics

  • Alternating Current
  • Atoms
  • Communication Systems
  • Current Electricity
  • Dual nature of Radiation and Matter
  • Electric Charges and Fields
  • Electricity
  • Electromagnetic Induction
  • Electromagnetic Waves
  • Electron Beams and Radioactivity
  • Electrons and Photons
  • Electrostatic Potential and Capacitance
  • Fluid Pressure
  • Force and Acceleration
  • Force And Laws Of Motion
  • Gravitation
  • Internal Energy
  • Kinetic Theory
  • Law of motion
  • Light – Reflection And Refraction
  • Magnetic Effects Of Electric Current
  • Magnetism and Matter
  • Management Of Natural Resources
  • Mechanical properties of Fluids
  • Mechanical properties of Solids
  • Motion
  • Motion in a plane
  • Motion in a straight line
  • Moving Charges and Magnetism
  • Nuclear Energy
  • Nuclei
  • Oscillations
  • Our Environment
  • Paths of Heat
  • Physical world
  • Ray optics and optical instruments
  • Semiconductor Devices
  • Semiconductor Electronics: Materials, Devices and Simple Circuits
  • Simple Machines
  • Sound
  • Sources Of Energy
  • Specific and Latent Heats
  • Spherical Mirrors
  • Static Electricity
  • Systems of Particles and Rotational motion
  • Thermal properties of matter
  • Thermodynamics
  • Units and Measurement
  • Vectors, Scalar Quantities and Elementary Calculus
  • Wave Optics
  • Waves
  • Work, Power and Energy

High School Chemistry

  • Acids, Bases and Salts
  • Alcohols, Phenols and Ethers
  • Aldehydes, Ketones and Carboxylic Acids
  • Aliphatic and Aromatic Hydrocarbons
  • Alkyl and Aryl Halides
  • Amines
  • Analytical Chemistry 
  • Atomic Structure
  • Atoms And Molecules
  • Basic concepts of Chemistry
  • Biomolecules
  • Carbon And Its Compounds
  • Carboxylic acids and Acid Derivatives
  • Chemical Bonding and Molecular Structures
  • Chemical Energetics
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  • Chemical Kinetics
  • Chemical Reactions And Equations
  • Chemical Reactions and Their Mechanisms
  • Chemistry in Everyday Life
  • Chemistry of p-Block elements
  • Chemistry of Transition and Inner Transition
  • Classification of Elements
  • Coordination Compounds
  • Cyanide, Isocyanide, Nitro compounds and Amines
  • Electrochemistry
  • Electrolysis
  • Elements, Compounds and Mixtures
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  • Equilibrium
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  • Haloalkanes and Haloarenes
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  • Ionic equilibria
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  • Periodic Classification of Elements
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  • Principles and Processes of Isolation of Elements
  • Redox Reactions
  • Relative Molecular Mass and Mole
  • States of Matter
  • Structure Of The Atom
  • Study of Compounds
  • Study of Gas Laws
  • Study of Representative Elements
  • Surface Chemistry
  • The d-block and f-block elements
  • The Gaseous State
  • The p-Block Elements
  • The Periodic Table
  • The s-Block Elements
  • The Solid State
  • Thermodynamics

High School Biology

  • Absorption and Movement of Water in Plants
  • Adolescent Issues
  • Anatomy of Flowering Plants
  • Animal Kingdom
  • Bacteria and Fungi-Friends and Foe
  • Biodiversity and Conservation
  • Biofertilizers
  • Biological Classification
  • Biomedical Engineering
  • Biomolecules
  • Biotechnology and its Applications
  • Biotic Community
  • Body Fluids and Circulation
  • Breathing and Exchange of Gases
  • Cell – Unit of Life
  • Cell Cycle and Cell Division
  • Cell Division and Structure of Chromosomes
  • Cell Reproduction
  • Cellular Respiration
  • Chemical Coordination and Integration
  • Circulation
  • Control And Coordination
  • Crop Improvement
  • Digestion and Absorption
  • Diversity In Living Organisms
  • Ecosystem
  • Environmental Issues
  • Excretory Products and their Elimination
  • Flowering Plants
  • Genes and Chromosomes
  • Health and Diseases
  • Health and Its Significance
  • Heredity And Evolution
  • Heredity and Variation
  • How Do Organisms Reproduce?
  • Human Diseases
  • Human Eye And Colourful World
  • Human Health and Disease
  • Human Population
  • Human Reproduction
  • Hygiene
  • Improvement In Food Resources
  • Integumentary System- Skin
  • Kingdom Fungi
  • Kingdom Monera
  • Kingdom Protista
  • Life Processes
  • Locomotion and Movement
  • Microbes in Human Welfare
  • Mineral Nutrition
  • Molecular Basis of Inheritance
  • Morphology of Flowering Plants
  • Neural Control And Coordination
  • Nutrition in Human Beings
  • Organism and Population
  • Photosynthesis
  • Photosynthesis in Higher Plants
  • Plant Growth and Development
  • Plant Kingdom
  • Pollination and Fertilization
  • Pollution; Sources and its effects
  • Principles of Inheritance and Variation
  • Reproduction and Development in Angiosperms
  • Reproduction in Organisms
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  • Respiration in Human Beings
  • Respiration in Plants
  • Respiratory System
  • Sexual Reproduction in Flowering Plants
  • Strategies for Enhancement in Food Production
  • Structural Organisation in Animals
  • Structural Organisation of the Cell
  • The Endocrine System
  • The Fundamental Unit Of Life
  • The Living World
  • The Nervous System and Sense Organs
  • Tissues
  • Transpiration
  • Transport in Plants

High School Math

  • Algebra – Arithmatic Progressions
  • Algebra – Complex Numbers and Quadratic Equations
  • Algebra – Linear Inequalities
  • Algebra – Pair of Linear Equations in Two Variables
  • Algebra – Polynomials
  • Algebra – Principle of Mathematical Induction
  • Algebra – Quadratic Equations
  • Binomial Theorem
  • Calculus – Applications of Derivatives
  • Calculus – Applications of the Integrals
  • Calculus – Continuity and Differentiability
  • Calculus – Differential Equations
  • Calculus – Integrals
  • Geometry – Area
  • Geometry – Circles
  • Geometry – Conic Sections
  • Geometry – Constructions
  • Geometry – Introduction to Euclid’s Geometry
  • Geometry – Three-dimensional Geometry
  • Geometry – Lines and Angles
  • Geometry – Quadrilaterals
  • Geometry – Straight Lines
  • Geometry – Triangles
  • Linear Programming
  • Matrices and Determinants
  • Mensuration – Areas
  • Mensuration – Surface Areas and Volumes
  • Number Systems
  • Number Systems – Real Numbers
  • Permutations and Combinations
  • Probability
  • Sequence and Series
  • Sets and Functions
  • Statistics 
  • Trignometry – Height and Distance
  • Trignometry – Identities
  • Trignometry – Introduction

Middle School Science

  • Acids, Bases And Salts
  • Air and Its Constituents
  • Basic Biology
  • Body Movements
  • Carbon and Its Compounds
  • Cell – Structure And Functions
  • Changes Around Us
  • Chemical Effects Of Electric Current
  • Chemistry in Your Life
  • Coal And Petroleum
  • Combustion And Flame
  • Components Of Food
  • Conservation Of Plants And Animals
  • Crop Production And Management
  • Electric Current And Its Effects
  • Electricity And Circuits
  • Elements and Compounds
  • Fibre To Fabric
  • Food production and management
  • Force And Pressure
  • Forests: Our Lifeline
  • Friction
  • Fun With Magnets
  • Garbage In, Garbage Out
  • Getting To Know Plants
  • Health and Hygiene
  • Heat
  • Hydrogen
  • Life Processes: Nutrition in Animals and Plants
  • Light, Shadows And Reflections
  • Materials: Metals And Non-Metals
  • Matter and Its States
  • Metals and Non-metals
  • Micro Organisms: Friend And Foe
  • Motion And Measurement Of Distances
  • Motion And Time
  • Nutrition In Animals
  • Nutrition In Plants
  • Organization in Living Things
  • Our Environment
  • Physical And Chemical Changes
  • Pollution and conservation
  • Pollution Of Air And Water
  • Reaching The Age Of Adolescence
  • Reproduction In Animals
  • Reproduction In Plants
  • Respiration In Organisms
  • Rocks and Minerals
  • Separation Of Substances
  • Simple Machines
  • Soil
  • Some Natural Phenomena
  • Sorting Materials Into Groups
  • Sound
  • Stars And The Solar System
  • Structure of Atom
  • Synthetic Fibers And Plastics
  • The Living Organisms And Their Surroundings
  • Transfer of Heat
  • Transformation of Substances
  • Transportation In Animals And Plants
  • Universe
  • Waste-water Story
  • Water: A Precious Resource
  • Weather, Climate And Adaptations Of Animals To Climate
  • Winds, Storms And Cyclones

Middle School Math

  • Addition
  • Area and Its Boundary
  • Boxes and Sketches
  • Data Handling
  • Fun With Numbers
  • Heavy and Light
  • How Many
  • Long And Short
  • Mapping
  • Measurement
  • Money
  • Multiplication and Factors
  • Multiply and Divide
  • Numbers
  • Parts and Wholes
  • Pattern Recognition
  • Patterns
  • Play With Patterns
  • Rupees And Paise
  • Shapes And Angles
  • Shapes And Designs
  • Shapes and Space
  • Similarity
  • Smart Charts
  • Squares
  • Subtraction
  • Tables And Shares
  • Tenths and Hundredths
  • Time
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