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IM G 1.6 Cool Down

Line m is the perpendicular bisector of segment PS. Unfortunately, S got lost. 1. Use straightedge and compass tools to construct a line perpendicular to line m that goes through point P. 2. Mark point S. Explain your reasoning.

Here is a line m and a point P  not on the line. Use straightedge and compass tools to construct a line perpendicular to line m that goes through point P.
IM G Unit 1 Lesson 6 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/1/6/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.