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Complete the justification of the construction of the line perpendicular to a given line at a point on that line. Given: Line $m,$ with point $P$ (FIGURE CANNOT COPY) Given: Line $m,$ with point $P$ $$\begin{array}{l}\frac{\text { on } m}{P Q} \cong \overline{P R} \text { (by } \\\text { construction) } \\\overline{Q S} \cong \overline{R S} \text { (by }\end{array}$$construction) Prove: $\overrightarrow{S P} \perp m$

          Complete the justification of the construction of the line  perpendicular to a given line at a point on that line. Given: Line $m,$ with point $P$ (FIGURE CANNOT COPY)
Given: Line $m,$ with point $P$
$$\begin{array}{l}\frac{\text { on } m}{P Q} \cong \overline{P R} \text { (by } \\\text { construction) } \\\overline{Q S} \cong \overline{R S} \text { (by }\end{array}$$construction) Prove: $\overrightarrow{S P} \perp m$

Added by Vicente M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Philip Luukkonen

08/06/2022

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Complete the justification of the construction of the line perpendicular to a given line at a point on that line. Given: Line $m,$ with point $P$ Given: Line $m,$ with point $P$ $$egin{array}{l}frac{ ext { on } m}{P Q} cong overline{P R} ext { (by } \ ext { construction) } \overline{Q S} cong overline{R S} ext { (by }end{array}$$construction) Prove: $overleftrightarrow{S P} perp m$