IM G Unit 1 Lesson 10 Cool Down

To construct a line passing through point [i]C[/i] that is parallel to the line [i]AB[/i], Han constructed the perpendicular bisector of [i]AB[/i] and then drew line [i]CD[/i].[br][br]Is [i]CD[/i] guaranteed to be parallel to [i]AB[/i]? Explain how you know.
IM G Unit 1 Lesson 10 Cool Down from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/1/10/index.html. Licensed under the Creative Commons Attribution 4.0 license, [url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url]. 
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