IM G 1.6 Cool Down

Line [i]m[/i] is the perpendicular bisector of segment [i]PS[/i]. Unfortunately, [i]S[/i] got lost.[br][br]1. Use straightedge and compass tools to construct a line perpendicular to line [i]m[/i] that goes through point [i]P[/i].[br][br]2. Mark point [i]S[/i]. Explain your reasoning.
Here is a line [i]m[/i] and a point P  [i]not[/i] on the line. Use straightedge and compass tools to construct a line perpendicular to line [i]m[/i] that goes through point [i]P[/i].
IM G Unit 1 Lesson 6 from IM Geometry by Illustrative Mathematics, [url=https://im.kendallhunt.com/HS/students/2/2/1/index.html]https://im.kendallhunt.com/HS/students/2/1/6/index.html[/url]. 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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Informação: IM G 1.6 Cool Down