Representations of Three-Dimensional FiguresRepresentations 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.

FHS Chapter 10 2

Warm UpWarm 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.

FHS Chapter 10 3

• An orthographic drawing shows six different views of an object: top, bottom, front, back, left side, and right side.

• Here’s an example:

Orthographic DrawingOrthographic Drawing

Left side

Right side

Front Back

Bottom

Top

FHS Chapter 10 4

Orthographic DrawingOrthographic Drawing• See if you can draw each view of the

following figure:

front

top

bottom

back

right

left

FHS Chapter 10 5

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Isometric DrawingIsometric 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

FHS Chapter 10 6

Perspective DrawingPerspective 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:

HorizonVanishing

Point

FHS Chapter 10 7

Perspective DrawingPerspective Drawing

• Here is an example of two-point perspective:

Horizon

Vanishing Points

FHS Chapter 10 8

Helpful HintHelpful 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.

One-point perspective

Two-point perspective

FHS Chapter 10 9

How To Draw With One-point Perspective:How To Draw With One-point Perspective:1. Draw a horizon and a

vanishing point.

2. Draw light pencil lines from each vertex to the vanishing point.

3. Draw lines parallel to lines in figure.

4. Connect corners.

5. Erase pencil lines.

FHS Chapter 10 10

Lesson Quiz – Part ILesson Quiz – Part I1. Draw all six orthographic

views of the object. Assume there are no hidden cubes.

FHS Chapter 10 11

Lesson Quiz – Part IILesson Quiz – Part II

2. Draw an isometric view of the object.

FHS Chapter 10 12

AssignmentAssignment

pp. 665-666: #2, 4, 10-13, 14, 16, 22-25

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