Honors Geometry Companion Book, Volume 2

10.1.2 Representations of Three-Dimensional Figures (continued) Example 3 Drawing an Object in Perspective A one-point perspective drawing of a three-

dimensional object is demonstrated in this example. A one-point perspective drawing shows an object with parallel lines closer to the way the eye or a camera would see it. The paired vertical and horizontal edges of the front face of the rectangular prism are drawn as parallel lines. The edges that are perpendicular to the front face are parallel in the object, but are drawn so that they converge at the vanishing point. The vanishing point is chosen to lie on a horizon line located somewhere “behind” the object. Notice that the edges of the rear face of the rectangle are drawn to be parallel like those of the front face. A two-point perspective drawing of a three- dimensional object is demonstrated in this example. A two-point perspective drawing shows an object with parallel lines closer to the way the eye or a camera would see it. In the two-point perspective there are two sets of parallel lines. These two sets of lines are drawn to converge to two vanishing points that are located “behind” the object on a single horizon line. The edge of the object facing the viewer is drawn as a vertical line. Notice that the lines that are parallel to the front edge in the object are also parallel to it in the drawing.

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