Spatial Reasoning

10-2
Representations of
Three-Dimensional Figures
Objectives
Draw representations
of three-dimensional
figures.
Recognize a threedimensional
figure from
a given representation.
Vocabulary
orthographic drawing
isometric drawing
perspective drawing
vanishing point
horizon
Who uses this?
Architects make many different kinds of
drawings to represent three-dimensional
figures. (See Exercise 34.)
There are many ways to represent a threedimensional
object. An orthographic
drawing shows six different views of
an object: top, bottom, front, back,
left side, and right side.
NY Performance
Indicators
G.R.2 Recognize, compare, and
use an array of representational
forms. Also, G.R.3.
EXAMPLE 1 Drawing Orthographic Views of an Object
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Top:
Bottom:
Front:
Back:
Left:
Right:
1. Draw all six orthographic views of
the given object. Assume there
are no hidden cubes.
10- 2 Representations of Three-Dimensional Figures 661