Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
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Exercise 15 Page 581

The Reflection in Parallel Lines Theorem says that if two lines are parallel, then a reflection in the first line followed by a reflection in the second line is the same as a translation.

Practice makes perfect

Let's begin by drawing a parallelogram and the two parallel lines.

The Reflection in Parallel Lines Theorem says that if two lines are parallel, then a reflection in the first line followed by a reflection in the second line is the same as a translation. Let's begin by reflecting the parallelogram in line k.

Finally, we will reflect A' in line l

As we can see, the two reflections is the same thing as a translation of A to A''.