Honors Geometry Companion Book, Volume 2

10.1.2 Representations of Three-Dimensional Figures (continued)

Example 4 Relating Different Representations of an Object

An object and drawings of the object are compared here to determine if each drawing is a true representation of the object. The orthographic drawing of the object is not a true representation because the bottom view does not show the actual orientation of the object from that view; it is rotated from the view it should show. The first one-point perspective does represent the object accurately in all its parts and their orientation to each other. The second one-point perspective views the object from a different point, but it also shows the parts in a different arrangement from the object, so it is not a true representation. The two-point perspective does represent the object accurately in all its parts and their orientation to each other.

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