Let ABCD be a rectangle. The perpendicular bisector of line segment BD intersects lines AB and BC in points E and F, respectively. Let M and N be midpoints of line segments 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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Let ABC'D be a rectangle.
The perpendicular bisector of
line segment BD intersects
lines AB and BC in points E
and F, respectively. Let M
and N be midpoints of line
segments CD and AD,
respectively. Prove lines FM
and EN are perpendicular.
Transcribed Image Text:Let ABC'D be a rectangle. The perpendicular bisector of line segment BD intersects lines AB and BC in points E and F, respectively. Let M and N be midpoints of line segments CD and AD, respectively. Prove lines FM and EN are perpendicular.
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