Question 9.5E6: A Glide Reflection of a Parallelogram Construct a glide refl......

A Survey of Mathematics with Applications [1175320]

A Glide Reflection of a Parallelogram
Construct a glide reflection of parallelogram ABCD, shown in Fig. 9.70, using translation vector v and reflection line l.

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To construct the glide reflection of parallelogram ABCD, first translate the parallelogram 2 units to the left and 5 units up, as indicated by translation vector v. This translated parallelogram is labeled A′B′C′D′, shown in red in Fig. 9.71(a) on page 533. Next, we will reflect parallelogram A′B′C′D′ about reflection line l. Parallelogram A′B′C′D′, shown in red, and the reflected parallelogram, labeled A″B″C″D″, shown in green, are shown in Fig. 9.71(b). The glide reflection of the parallelogram ABCD is parallelogram A″B″C″D″.

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