We have learned how to "drop a perpendicular" from a point to a line using our unruled straightedge and collapsible compass. However, we have never proved the following statement, which is Advanced Exercise 3 (a) on page 57: "Given a line m and a point P not on m, there is a line through P that is perpendicular to m."

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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As a proof not as a construction

We have learned how to "drop a perpendicular" from a point to a line using our unruled
straightedge and collapsible compass. However, we have never proved the following statement,
which is Advanced Exercise 3 (a) on page 57:
"Given a line m and a point P not on m, there is a line through P that is perpendicular to m."
Transcribed Image Text:We have learned how to "drop a perpendicular" from a point to a line using our unruled straightedge and collapsible compass. However, we have never proved the following statement, which is Advanced Exercise 3 (a) on page 57: "Given a line m and a point P not on m, there is a line through P that is perpendicular to m."
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