Example 2

Use the definitions you have learned to graph the reflection of parallelogram [math]ABCD[/math] through the [i]y[/i]-axis given parallelogram [math]ABCD[/math] with the points [math]A (-5, 5)[/math], [math]B (-3, 4)[/math], [math]C (-4, 1)[/math], and [math]D (-6, 2)[/math].

[list=1] [*]Graph parallelogram [math]ABCD[/math] with [math]A(-5,5)[/math], [math]B(-3,4)[/math], [math]C(-4,1)[/math], and [math]D(-6,2[/math]). [*]Write the new points. [*]Plot the new points [math]A'[/math], [math]B'[/math], [math]C'[/math], and [math]D'[/math]. [*]Connect the corners of the points to graph the reflection [math]r_{y-axis}[/math] of parallelogram [math]A'B'C'D'[/math]. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.