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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0465f1-15f8-401c-b81f-13f13d915b6e%2Fb4d4a1d5-7247-4a72-b567-4ef7e0f98673%2F3i5223f_processed.jpeg&w=3840&q=75)
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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