1. Representations of Three-Dimensional Figures
Page 212 in Know-It Notebook
Draw representations of three-dimensional figures.
Recognize a three-dimensional figure from a given representation.

2. Warm Up
Write a description of each figure. Describe the base(s) and other faces or surfaces.
1. cube
2. pentagonal prism
3. cylinder
All faces are squares.
The 2 bases are pentagons and the other 5 faces are parallelograms
The two bases are circles. The other surface is curved and joins the two circles together.
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3. Orthographic Drawing
An orthographic drawing shows six different views of an object: top, bottom, front, back, left side, and right side.
Here’s an example:
Top
Front
Back
Right side
Left side
Bottom
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4. Orthographic Drawing
See if you can draw each view of the following figure:
top
front
back
Insert example 1 here.
bottom
right
left
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5. Isometric Drawing
Isometric drawing is a way to show three sides of a figure from a corner view, usually using isometric dot paper.
Here is an example
Insert example 2 here.
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6. Perspective Drawing
In a perspective drawing, lines are drawn so that they meet at a point called a vanishing point.
Vanishing points are located on a line called horizon.
Here is an example of one-point perspective:
Horizon
Vanishing Point
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7. Perspective Drawing Here is an example of two-point perspective:
Vanishing Points
Insert examples 3 and 4 here.
Horizon
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8. Helpful Hint
In a one-point perspective drawing of a cube, you are looking at a face. In a two-point perspective drawing, you are looking at a corner.
Two-point perspective
One-point perspective
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9. How To Draw With One-point Perspective:
Draw a horizon and a vanishing point.
Draw light pencil lines from each vertex to the vanishing point.
Draw lines parallel to lines in figure.
Connect corners.
Erase pencil lines.
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10. Lesson Quiz – Part I
Draw all six orthographic views of the object. Assume there are no hidden cubes.
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11. Lesson Quiz – Part II Draw an isometric view of the object. FHS
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12. Assignment pp. 665-666: #2, 4, 10-13, 14, 16, 22- 25 Page 665 Page 666
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