The diagram below shows the construction of a line through point P perpendicular to line m. P Which statement is demonstrated by this construction? 1) If a line is parallel to a line that is perpendicular to a third line, then the line is also perpendicular to the third line. 2) The set of points equidistant from the endpoints of a line segment is the perpendicular bisector of the segment. 3) Two lines are perpendicular if they are equidistant from a given point. 4) Two lines are perpendicular if they intersect to form a vertical line.

The diagram below shows the construction of a line through point P perpendicular to line m. P Which statement is demonstrated by this construction? 1) If a line is parallel to a line that is perpendicular to a third line, then the line is also perpendicular to the third line. 2) The set of points equidistant from the endpoints of a line segment is the perpendicular bisector of the segment. 3) Two lines are perpendicular if they are equidistant from a given point. 4) Two lines are perpendicular if they intersect to form a vertical line.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 29E: Complete the justification of the construction of the line perpendicular to the given line at...

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