Let ABCD be a rectangle. The perpendicular bisector of the line segment BD intersects lines AB and BC in points E and F respectively. Let am and N be midpoints of the line segment CD and AD, respectively. Prove lines FM and EN are perpendicular.

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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Let ABCD be a rectangle. The perpendicular bisector of the line segment BD intersects lines AB and BC in points E and F respectively. Let am and N be midpoints of the line segment CD and AD, respectively. Prove lines FM and EN are perpendicular.
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