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."
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.
Chapter2: Parallel Lines
Section2.1: The Parallel Postulate And Special Angles
Problem 38E: Given: A line m and a point T not on m Suppose that you do the following: i Construct a...
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As a proof not as a construction
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