Refrigeration And Air Conditioning  ·  Level 6
Engineering Drawing And Design
Chapter 2: Produce plane geometry drawings
📚 10 Topics
⚑ What you will be able to do

By the end of this chapter, you will be able to:

  • Identify different types of lines used in engineering drawings and understand what each line means according to standard conventions.
  • Construct various geometric shapes accurately by following standard drawing rules.
  • Use principles of trigonometry to create precise angles in your drawings.
  • Measure angles correctly using the right tools to ensure accuracy.
  • Bisect angles properly following the accepted drawing standards.
  • Freehand sketch clear and accurate geometric forms, tools, equipment, and diagrams.

Mastering these skills will help you create professional and precise engineering drawings that are essential for successful design and communication in your trade.

Producing accurate plane geometry drawings is fundamental across all professional fields in Kenya, from designing layouts in hospitals to planning spaces in retail businesses. Understanding the types of lines used in technical drawings ensures clear communication of design intent, specifications, and modifications. This chapter focuses on the standard line types employed in technical drawings, their characteristics, and their proper application according to international and Kenyan standards.

2.1 Types of lines in drawings

In professional settings such as county government offices or universities, technical drawings must follow precise conventions to avoid misinterpretation. Lines are the primary means of conveying information about shapes, dimensions, and features in drawings. Different types of lines signify distinct elements such as visible edges, hidden details, or cutting planes. Mastery of these line types is essential for producing drawings that meet BS EN ISO 128 and Kenya Bureau of Standards (KEBS) requirements.

2.1.1 Boarder lines

Boarder lines, also known as border lines, define the outer edges of the drawing sheet and the drawing area, framing the entire technical document. They ensure the drawing is neatly contained and provide a clear boundary for all included details.

Purpose of boarder lines

  • Define drawing limits: Boarder lines outline the maximum area where drawing content can appear, preventing overflow.
  • Enhance presentation: They provide a professional, clean appearance to the drawing sheet, improving readability.
  • Facilitate sheet handling: Boarders help in aligning and stacking multiple sheets in filing systems used in offices such as banks and SACCOs.
  • Support title block placement: The border creates a designated space for the title block and revision notes, essential in county government office documentation.
  • Standardize sheet sizes: Boarders maintain consistency across different drawings, aiding in compliance with ISO and Kenyan standards.

Characteristics of boarder lines

  • Line thickness: Boarder lines are drawn using a thick continuous line, typically 0.5 mm or more, to stand out clearly.
  • Continuous line type: They are unbroken and solid, ensuring no ambiguity in the drawing boundary.
  • Position: Located at a fixed distance from the edge of the drawing sheet, usually 10 mm inside to prevent damage.
  • Shape: Usually rectangular, matching the shape of the drawing sheet.
  • Uniformity: The thickness and position remain consistent across all sheets of a project to maintain standardization.

Drawing boarder lines: step-by-step procedure

  1. Select the appropriate drawing sheet size according to the project requirements.
  2. Measure 10 mm from each edge of the sheet to mark the border line position.
  3. Using a 0.5 mm technical drawing pen or pencil, draw a continuous rectangle connecting the four marks.
  4. Check line thickness with a ruler or template to ensure uniformity.
  5. Avoid any breaks or gaps in the line during drawing.
  6. Allow ink to dry or fix the pencil lines to prevent smudging during handling.

2.1.2 Faint continuous lines

Faint continuous lines, sometimes called construction lines, are lightly drawn lines used as guides during drawing construction. They help in establishing shapes, angles, and proportions without dominating the final drawing.

Role of faint continuous lines

  • Guide drawing layout: They assist in accurately positioning elements before finalizing.
  • Maintain proportions: Aid in measuring and scaling complex geometries.
  • Support shape construction: Used to build auxiliary lines, such as bisectors and tangents.
  • Facilitate corrections: Easily erased or overridden without affecting the final drawing.
  • Provide reference points: Mark centers, intersections, or alignments subtly.

Properties of faint continuous lines

  • Line thickness: Typically 0.2 mm or less, thinner than border or visible lines.
  • Appearance: Solid and unbroken but light enough to be distinguishable from main outlines.
  • Erasability: Drawn lightly to allow easy removal or modification.
  • Consistency: Uniform thinness throughout the drawing.
  • Use of pencil: Commonly drawn with hard pencils (H or 2H) for precision and lightness.

Best practices when using faint continuous lines

  1. Begin all sketches with faint lines to outline basic shapes.
  2. Avoid excessive pressure to keep lines light and erasable.
  3. Use a ruler or drafting tools to maintain straightness and accuracy.
  4. Erase faint lines only after final lines are confirmed and darkened.
  5. Maintain consistency in line thickness throughout the drawing.
  6. Avoid overusing faint lines to prevent clutter and confusion.

2.1.3 Broken lines

Broken lines, also known as hidden lines, represent edges or surfaces not visible from the current viewing angle. These lines communicate concealed features in objects or layouts, such as piping behind walls in a hospital plan.

Purpose of broken lines

  • Indicate hidden features: Show parts obscured by other components.
  • Clarify complex assemblies: Help visualize internal structures without multiple views.
  • Assist in fabrication: Provide essential information to manufacturing or construction teams.
  • Support inspection: Highlight areas for quality checks or maintenance.
  • Avoid ambiguity: Differentiate between visible and non-visible edges clearly.

Characteristics of broken lines

  • Line type: Short, evenly spaced dashes typically 3 mm long with 2 mm gaps.
  • Line thickness: Medium thickness (0.3 mm to 0.5 mm), thinner than border lines but thicker than faint lines.
  • Continuity: Broken but regular pattern to maintain clarity.
  • Placement: Drawn precisely where hidden edges exist in the projection.
  • Standard compliance: Follow BS EN ISO 128 and KEBS guidelines for dash length and spacing.

Drawing broken lines procedure

  1. Identify hidden edges or features not visible in the current view.
  2. Use a technical pen or pencil with 0.3 mm thickness for broken lines.
  3. Mark dashes approximately 3 mm in length separated by 2 mm gaps along the hidden edge path.
  4. Maintain equal spacing and consistent dash length for neatness.
  5. Avoid overlapping broken lines with visible lines.
  6. Review the drawing to ensure all hidden features are correctly represented.

2.1.4 Chain lines

Chain lines are used to indicate special features such as center lines of symmetry, paths of motion, or important limits like cutting planes. They consist of alternating long and short dashes.

Functions of chain lines

  • Mark cutting planes: Define where an object is sectioned for detailed views.
  • Indicate symmetry: Show axes or planes of symmetry in designs.
  • Highlight limits: Denote boundaries of areas under inspection or modification.
  • Depict motion paths: Visualize movement or rotation axes.
  • Provide reference: Assist in aligning components during assembly.

Chain line features

  • Pattern: Alternating long dashes (6 mm) and short dashes (2 mm).
  • Thickness: Medium, similar to broken lines (0.3 mm to 0.5 mm).
  • Continuity: Continuous with no breaks in pattern.
  • Annotations: Often accompanied by arrows or labels for clarity.
  • Standardized: Compliant with ISO and KEBS standards for technical drawings.

Steps to draw chain lines

  1. Determine the feature requiring a chain line, such as a cutting plane.
  2. Use a 0.3 mm pen or pencil for line thickness.
  3. Draw a long dash approximately 6 mm in length.
  4. Follow with a short dash of 2 mm.
  5. Repeat the alternating pattern along the required length.
  6. Add arrows or labels to indicate direction or feature name where necessary.

2.1.5 Centre lines

Centre lines identify the geometric centers of circles, arcs, or symmetrical parts. They help in dimensioning and locating features accurately in technical drawings.

Importance of centre lines

  • Locate features: Pinpoint centers of holes, circles, and arcs.
  • Assist dimensioning: Provide reference for radial or symmetrical measurements.
  • Support assembly: Ensure parts align correctly during construction.
  • Highlight symmetry: Mark central axes in mechanical or architectural plans.
  • Aid machining: Guide tool paths and fixture placements.

Characteristics of centre lines

  • Line style: Long and short dashes alternating, similar to chain lines but thinner.
  • Thickness: Thin, approximately 0.2 mm.
  • Length: Extend slightly beyond the feature boundaries for clarity.
  • Continuity: Continuous alternating dash pattern.
  • Standard adherence: Follow ISO 128 and KEBS for dash length and spacing.

Procedure for drawing centre lines

  1. Identify the center point of the circle, arc, or symmetrical feature.
  2. Draw a thin line with alternating long (6 mm) and short (3 mm) dashes through the center.
  3. Extend the line beyond the feature’s edges by at least 5 mm.
  4. Cross two centre lines perpendicular to each other for circular features to mark centers.
  5. Use a 0.2 mm technical pen for clarity.
  6. Ensure lines are straight using a ruler or drafting tools.

2.1.6 Cutting lines

Cutting lines indicate where an object is sliced to reveal internal features in sectional views. They are crucial in detailed technical drawings for hospitals, retail outlets, or educational facilities to show hidden internal arrangements.

Purpose and significance of cutting lines

  • Define section planes: Show exact location of the cut.
  • Clarify internal details: Reveal features not visible externally.
  • Guide fabrication: Provide instructions for assembly or construction.
  • Improve understanding: Enhance visualization of complex structures.
  • Facilitate quality assurance: Assist inspectors in verifying internal configurations.

Features of cutting lines

  • Line style: Thick chain line with alternating long and short dashes.
  • Thickness: Similar to border lines, approximately 0.5 mm.
  • Arrows: Include arrows at ends to indicate viewing direction.
  • Labels: Often marked with letters (A-A, B-B) to reference sectional views.
  • Standard compliance: Must conform to BS EN ISO 128 and KEBS standards.

Drawing cutting lines step-by-step

  1. Identify the plane along which the section is to be taken.
  2. Draw a thick chain line along this plane using 0.5 mm thickness.
  3. Mark arrows at both ends pointing in the direction of the view.
  4. Label the cutting line with appropriate letters to correspond with the sectional drawing.
  5. Ensure the cutting line extends beyond the object edges for visibility.
  6. Verify line style and labels conform to standard drawing conventions.

Practice Questions

  1. Describe the characteristics and uses of boarder lines in technical drawings. (10 marks)
  2. Explain the differences between faint continuous lines and broken lines, including their specific applications. (12 marks)
  3. Outline the step-by-step procedure for drawing chain lines and explain their significance in a sectional drawing. (15 marks)
  4. Identify the correct line type to represent the center of a circular hole and justify your choice. (8 marks)
  5. Draw a cutting line for a sectional view of a rectangular object with arrows and label it correctly as section A-A. (15 marks)
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🔒2.2 Construction of angles

In many professional fields across Kenya, from hospital architecture to retail store layout design, the ability to accurately construct and measure angles is essential. Angles define shapes, ensure correct fitting of parts, and maintain structural integrity in…

🔒2.3 Bisection of angles

In technical drawing and design, accurately bisecting angles is fundamental for creating precise geometric constructions and detailed plans. Whether drafting building layouts at a county government office or designing equipment layouts in a hospital, correct a…

🔒2.4 Measurement of angles

In various Kenyan professional settings, accurate measurement of angles is essential for tasks ranging from designing architectural layouts at a county government office to planning agricultural irrigation systems on farms. Understanding the different types of…

🔒2.5 Construction of plane geometric forms

In diverse Kenyan workplaces such as county referral hospitals, universities, banks, and retail businesses, the ability to accurately construct plane geometric forms is essential. These forms form the foundation for technical drawings used in designing layouts…

🔒2.6 Construction of scales

In technical drawing and design, scales are essential tools that allow professionals to represent large or small objects accurately on paper. In the Kenyan professional context, whether designing a hospital layout, planning a farm irrigation system, or creatin…

🔒2.7 Construction of plane geometric forms

In Kenya’s diverse professional settings, from county hospitals to retail outlets, the ability to accurately construct plane geometric forms is essential for effective technical communication. Whether drafting a layout for a new clinic, designing a cooperative…

🔒2.8 Construction of scales

In various professional fields in Kenya, accurate measurement and representation of objects, spaces, or plans are crucial. Whether in agriculture for mapping farm plots, in healthcare for architectural planning of hospital wards, or in business for designing o…

🔒2.9 Construction of plane geometric forms

In Kenya's diverse professional environments, the ability to accurately construct plane geometric forms is crucial for clear communication, design, and problem-solving. Whether drafting layouts for a county hospital's new wing, mapping farm plots for a coopera…

🔒2.10 Construction of scales

In Kenya's diverse professional environments, accurate scaling is essential for creating drawings that represent real-world dimensions clearly and precisely. Whether designing a layout for a county hospital expansion, planning a retail business floor plan, or…

Chapter Summary

This chapter covered the essential types of lines used in engineering drawings, including border lines, faint continuous lines, broken lines, chain lines, centre lines, and cutting lines, each serving specific purposes in technical representation. It detailed the procedures for constructing various angles such as acute, right, reflex, obtuse, and straight angles, emphasizing accuracy in geometric constructions. The bisection of these angles was explained step-by-step to aid precise division, followed by methods for measuring the same angles using appropriate drawing instruments. The construction of plane geometric forms was explored extensively, focusing on triangles, quadrilaterals, polygons, and circles with tangents, highlighting the importance of correct shape formation. Various scale constructions were introduced, including plane scales, diagonal scales, and reducing and enlargement scales, to support accurate representation of dimensions. The chapter reinforced these concepts through repeated emphasis on geometric forms and scale construction, ensuring mastery of fundamental drawing skills crucial for producing solid geometry drawings. Through these topics, students developed a comprehensive understanding of plane geometry drawing techniques aligned with engineering drawing standards.

Self-Assessment

🔒 PDFDownload this self-assessment, with answers

A. Written Assessment

  1. Which line type is used to indicate visible edges and outlines in technical drawings? (2 marks)
  2. Describe the purpose of faint continuous lines in a drawing and give one example of their use. (3 marks)
🔒20 more in this section.

Chapter Examination Questions

🔒 PDFDownload these examination questions, with worked answers

SECTION A (40 Marks) - Answer ALL Questions

  1. Identify and describe the purpose of border lines in technical drawings used at a county referral hospital’s architectural plans. (4 marks)
  2. Explain the difference between chain lines and centre lines and provide an example of where each might be used in a retail shop layout drawing. (4 marks)
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Chapter Practical Activities

Practical 1: Identify and draw types of lines used in engineering drawings

Refrigeration And Air Conditioning · Level 6
Engineering Drawing And Design
PRACTICAL ASSESSMENT
TIME: 4 HOURS
⬇ PDFCandidate Instructions (Candidate Tool)

Type: Individual

INSTRUCTIONS TO CANDIDATE:
1.  You are required to perform the following task:
i.  Draw and label a plane geometry drawing showing six types of lines used in engineering drawings on A3 paper measuring 400mm x 300mm.
2.  You have been provided with the following resources for the practical task:
Tools & EquipmentMaterials
Drawing boardEngineering drawing paper A3 size
T-square
Set square (45° and 60°)
Compass
Pencils (2H, HB, 2B)
Eraser
Scale ruler (metric)
Protractor
Drawing pins
Masking tape
⬇ PDFResources Required (Cutting List)
S/NItemQuantity
1Drawing board1 Pc per Candidate
2T-square1 Pc per Candidate
3Set square (45° and 60°)1 Set per Candidate
4Compass1 Pc per Candidate
5Pencils (2H, HB, 2B)3 Pcs per Candidate
6Eraser1 Pc per Candidate
7Engineering drawing paper A3 size2 Sheets per Candidate
8Scale ruler (metric)1 Pc per Candidate
9Protractor1 Pc per Candidate
10Drawing pins4 Pcs per Candidate
11Masking tape1 Roll per 5 Candidates
⬇ PDFAssessor Guide
Items to be EvaluatedMarks AvailableMarks ObtainedComments
TASK 1: Preparation and Safety
Wore appropriate PPE such as dust coat and safety goggles
(Award 1 mark for wearing correct PPE or zero)
1
Handled drawing tools carefully and correctly
(Award 1 mark for correct handling or zero)
1
Sub-Total2
TASK 2: Drawing Execution
Set up drawing board and secured drawing paper using pins and masking tape
(Award 1 mark for correct setup or zero)
1
Drew and labeled the border line correctly using a thick continuous line
(Award 1 mark for line type, 1 mark for thickness, 1 mark for correct labeling)
3
Drew and labeled faint continuous lines correctly
(Award 1 mark for line type, 1 mark for faintness, 1 mark for correct labeling)
3
Drew and labeled broken lines correctly
(Award 1 mark for line type, 1 mark for breaks, 1 mark for correct labeling)
3
Drew and labeled chain lines correctly
(Award 1 mark for line type, 1 mark for chain pattern, 1 mark for correct labeling)
3
Drew and labeled centre lines correctly
(Award 1 mark for line type, 1 mark for dash-dot pattern, 1 mark for correct labeling)
3
Drew and labeled cutting lines correctly
(Award 2 marks for correct line type and style, 2 marks for correct labeling and arrowheads)
4
Sub-Total20
PRODUCT CHECKLIST
Drawing paper is clean, neat, and well secured with no wrinkles or tears
(Award 2 marks for neatness and paper condition or zero)
2
All six types of lines drawn to correct style, thickness, and spacing as per engineering drawing standards
(Award marks based on accuracy of line types and conformity to standards)
8
All lines correctly labeled with clear, legible text
(Award marks for clarity, correctness, and neatness of labeling)
5
Drawing size is 400mm x 300mm (A3) and border lines drawn at correct margin dimensions (10mm from edges)
(Award marks for correct dimensions and border placement)
5
Sub-Total20
GRAND TOTAL42
ASSESSMENT OUTCOME:   ☐ Competent    ☐ Not Yet Competent (competent if at least 50%)

Practical 2: Construct and Bisect Acute and Right Angles

Refrigeration And Air Conditioning · Level 6
Engineering Drawing And Design
PRACTICAL ASSESSMENT
TIME: 4 HOURS
⬇ PDFCandidate Instructions (Candidate Tool)

Type: Individual

INSTRUCTIONS TO CANDIDATE:
1.  You are required to perform the following task:
i.  Construct an acute angle of 60° and a right angle of 90° each 100mm long, then bisect both angles accurately on A3 drawing paper.
2.  You have been provided with the following resources for the practical task:
Tools & EquipmentMaterials
Drawing boardDrawing paper size A3
T-square
45° Set square
Protractor
Compass
Pencils (2H and HB)
Eraser
Scale ruler
⬇ PDFResources Required (Cutting List)
S/NItemQuantity
1Drawing board1 Pc per Candidate
2T-square1 Pc per Candidate
345° Set square1 Pc per Candidate
4Protractor1 Pc per Candidate
5Compass1 Pc per Candidate
6Pencils (2H and HB)2 Pcs per Candidate
7Eraser1 Pc per Candidate
8Scale ruler1 Pc per Candidate
9Drawing paper size A31 Sheet per Candidate
⬇ PDFAssessor Guide
Items to be EvaluatedMarks AvailableMarks ObtainedComments
TASK 1: Preparation and PPE
Wore appropriate PPE including dust coat and safety boots
(Award 1 mark for correct PPE or zero)
1
Handled drawing instruments carefully and as per workshop procedure
(Award 1 mark each for correct handling and safety observed)
2
Sub-Total3
TASK 2: Construction of Angles
Used T-square and scale ruler to draw baseline 100mm long
(Award 1 mark for baseline accuracy)
1
Constructed an acute angle of 60° correctly using protractor and set squares
(Award 1 mark each for correct angle, length, and neatness)
3
Constructed a right angle of 90° correctly using set square
(Award 1 mark each for correct angle, length, and neatness)
3
Sub-Total7
TASK 3: Bisecting the Angles
Bisected the 60° acute angle accurately using compass and straight edge
(Award 2 marks for correct bisector line and 2 marks for neatness and accuracy)
4
Bisected the 90° right angle accurately using compass and straight edge
(Award 2 marks for correct bisector line and 2 marks for neatness and accuracy)
4
Sub-Total8
TASK 4: Finishing and Housekeeping
Erased construction lines cleanly without damaging drawing
(Award 1 mark for clean erasing or zero)
1
Cleaned and stored drawing tools and cleaned work area
(Award 1 mark for proper housekeeping or zero)
1
Sub-Total2
PRODUCT CHECKLIST
Acute angle constructed at 60° ± 1° with 100mm arms
(Award 3 marks for correct angle and length or zero)
3
Right angle constructed at 90° ± 1° with 100mm arms
(Award 3 marks for correct angle and length or zero)
3
Bisectors of both angles drawn accurately and clearly
(Award 4 marks for accuracy and clarity or zero)
4
Lines are neat, continuous, and free from smudges
(Award 2 marks for neatness or zero)
2
Drawing paper is clean and free from folds or tears
(Award 1 mark for clean paper or zero)
1
Sub-Total13
GRAND TOTAL33
ASSESSMENT OUTCOME:   ☐ Competent    ☐ Not Yet Competent (competent if at least 50%)
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🔒Construct and bisect obtuse and reflex angles in plane geometryPractical 3
🔒Measure and record various types of angles using a protractorPractical 4
🔒Construct Plane Geometric Triangles to Specified DimensionsPractical 5
🔒Construction of Plane Geometric QuadrilateralsPractical 6
🔒Construct regular plane geometric polygonsPractical 7
🔒Draw circles and construct tangents on plane geometryPractical 8
🔒Construct a plane scale with ratio 1:50 and mark measurementsPractical 9
🔒Construct a diagonal scale 300mm long for precise fractional measurementsPractical 10
🔒Construct Reducing and Enlargement Scales for Engineering DrawingsPractical 11
🔒Produce a composite plane geometry drawing applying all types of lines correctlyPractical 12
🔒Draw and label bisection of mixed anglesPractical 13
🔒Draw and dimension a regular hexagon with inscribed circle and tangentsPractical 14
🔒Construct a reducing scale and produce a scaled drawing of a rectangular platePractical 15
🔒Construct an enlarged scale drawing of a mechanical componentPractical 16
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Am I competent?

At the start of this chapter we promised you would be able to:

  • Identify different types of lines used in engineering drawings and understand what each line means according to standard conventions.
  • Construct various geometric shapes accurately by following standard drawing rules.
  • Use principles of trigonometry to create precise angles in your drawings.
  • Measure angles correctly using the right tools to ensure accuracy.
  • Bisect angles properly following the accepted drawing standards.
  • Freehand sketch clear and accurate geometric forms, tools, equipment, and diagrams.

Tick each one you can genuinely do.

So, are you there yet?

You're competent when you can confidently do 50% or more of what this chapter promised.

Sign in to record how you're doing.