Technical Illustration has at its foundation a knowledge base of geometric shapes and their description. There is a vast vocabulary that needs to be fundamentally known by the "Draftsman". In this lesson 13 you will be asked to draw and define the basic Geometric shapes.

Connecting Your Learning

As you work your way through this lesson, you should reflect on the following questions:

How can I draw and define these shapes using CADD software?
Can I answer questions accurately regarding Geometric shapes?
After completing the assignments in lesson 13, would I be able to answer these questions with 100% accuracy on an exam?

The State of Arizona has assembled Drafting standards to make sure that Instruction is thorough and well thought out by the instructor. By clicking on the hyperlink below will upload to your browser window the entirety of these standards. The standards that are addressed in this lesson are below the hyperlink.

1.0 USE BOARD DRAFTING EQUIPMENT, INSTRUMENTS AND MEDIA.

• 1.1 Analyze Drawing surfaces for Drafting
• 1.6 Demonstrate Sheet Setup skills

2.0 DEMONSTRATE SKETCHING, LETTERING, AND LINE SKILLS.

• 2.1 Demonstrate freehand sketching skills for drafting applications.
• 2.2 Demonstrate lettering skills.
• 2.3 Demonstrate line work.

6.0 DEMONSTRATE GEOMETRIC CONSTRUCTIONS

• 6.1 Measure Geometric Constructions.
• 6.2 Develop Geometric Constructions.

8.0 APPLY BOARD DRAFTING SKILLS TO COMPUTER-AIDED DESIGN/DRAFTING (CADD)

• 8.1 Demonstrate computer skills for a CADD system.
• 8.2 Create dimensional CADD entities.
• 8.3 Create 3 dimensional CADD drawings.

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The State of Arizona has also assembled Math standards and many of these apply directly to the vocational subject area of Drafting. Drafting is a very precise discipline and the use of mathematics is integral to design and manufacturing. Below are the math standards that are involved in this lesson

1M-P1. Compare and contrast the real number system and its various subsystems with
regard to their structural characteristics

• PO 2. Compare subsets of the real number system with regard to their properties
  (commutative, associative, distributive, identity, inverse and closure properties)

1M-P2. Construct, interpret and demonstrate meaning for real numbers and absolute

• PO 3. Solve real-world distance problems using absolute value
• PO 4. Determine, among the solutions to a real-world problem, which, if any, is reasonable
• PO 2. Define absolute value as the distance from the origin

4M-P1. Interpret and draw three-dimensional objects

• PO 1. Sketch prisms, pyramids, cones, cylinders and spheres
• PO 2. Classify prisms, pyramids, cones, cylinders and spheres by base shape and lateral surface shape.
• PO 3. Recognize the three-dimensional figure represented by a two-dimensional drawing.
• PO 5. Make a model of a three-dimensional figure from a two-dimensional drawing and make a two-dimensional representation of a three-dimensional object (models and representations include scale drawings, perspective drawings, blueprints or computer simulations)

4M-P4. Deduce properties of, and relationships between, figures from given
assumptions

• PO 1. Find similarities and differences among geometric shapes and designs using a given attribute (e.g., height, area, perimeter, diagonals and angle measurements)
• PO 2. Identify arcs, chords, tangents and secants of a circle
• PO 3. State valid conclusions using given geometric definitions, postulates and theorems
• PO 4. Represent pi as the ratio of circumference to diameter
  

Lesson Objectives

1. Draw and dimension all of the Geometric Shapes.
2. Be able to define graphically and have the knowledge and comprehension of the various Geometric shapes.
3. Answer multiple choice, matching and true false questions regarding Geometric shapes with the accuracy that is expected of a "Draftsman".
4. Create Geometric Shapes in ACAD using also the text command to define the shape after measuring dimensioning and labeling the various Geometric Shapes.

Key Terms

"click on the key on any of these terms and it will hyperlink to the course glossary"

Acute Triangles	Obtuse Triangles	Square	Trapezoid
Equilateral Triangle	Obtuse Isosceles Triangle	Rectangle	Trapezium
Isosceles Triangle	Obtuse Scalene Triangle	Rhombus	Pentagon
Metric System	Right Triangle	Rhomboid	Hexagon
Heptagon	Octagon	Millimeter	Meter
Centimeter	Decameter	Arc	Chord
Complementary Angles	Major Axis	Minor Axis	Radius
Obtuse Angle	Supplementary Angles	Circumscribed	Inscribed
Perpendicular	Symmetrical	Fraction	Half Scale
Double Size	Draw to Scale	Bevel	Chamfer
Fillet	Knurl	Round	Parallel
Parallel Lines	Skew Lines	Quadrilateral	Ellipse
Bisect	Quadrant	Triangle	Circle

 

Instruction

 

Lesson 13a: Using your CADD software, illustrate all of the above 52 words in layout-c. Include the written definition with each word and its geometric shape. Some words of course may not have a specific geometric shape, but some graphic presentation is possible. You will use as many layout-c drawings as necessary to complete this assignment. Be creative and Illustrative; colors, regions, hatch patterns...etc...can be used.

Lesson 13b: Save the Quiz you see below onto your desktop or documents. The file extension .jpeg of the quiz will be able to be viewed in Windows Paint Shop. Once open in Paint shop, use this software to answer the questions. The pencil command will work quite well to circle the correct answers using green as the color for the pencil.

I will explain this further in the lesson 13 media disc. Please insert the media disk and listen to lesson 13.

*Note: The Lessons are best viewed with real player and you can download the latest version by clicking on the words real player.

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Summary and Assessment