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.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 39E: In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If...
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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.
Transcribed Image Text: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.
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