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Two Midpoints of a Trapezoid
Let ABC be a triangle. Let D be a point on AB and DE be parallel to AC with E on BC. Let AE and DC intersect at F. Let BF intersect DE at N and AC at M. Then DN = NE and AM = MC.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Trapezoid: Triangle, Diagonals, Midpoints, Bases
.
RELATED LINKS
Midpoint
(
Wolfram
MathWorld
)
Parallel
(
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MathWorld
)
Parallel Lines
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MathWorld
)
PERMANENT CITATION
"
Two Midpoints of a Trapezoid
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TwoMidpointsOfATrapezoid/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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