8.5 Transformational Geometry, Symmetry, and Tessellations 505 4 units upward 9 units to the right D C B A v Translation vector Figure 8.55 When trapezoid ABCD is translated using v, every point on trapezoid ABCD is moved 9 units to the right and 4 units upward. This movement is demonstrated for vertex A in Fig. 8.56(a). Figure 8.56(b) shows trapezoid ABCD and the translated trapezoid A BC D. ′ ′ ′ ′ Notice in Fig. 8.56(b) that every point on trapezoid A BC D ′ ′ ′ ′ is 9 units to the right and 4 units up from its corresponding point on trapezoid ABCD. Also notice that trapezoid A BC D ′ ′ ′ ′ is the same size and shape as trapezoid ABCD. 4 units upward 9 units to the right D C B A A9 D9 C9 A9 B9 D C B A v (a) (b) Figure 8.56 Example 3 A Translated Square Given square ABCD and translation vector v, shown in Fig. 8.57, construct the translated square A BC D. ′ ′ ′ ′ v A B C D Figure 8.57
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