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Reflecting a Point through the Midpoints of a Triangle's Sides
Let ABC be a triangle and let A', B', and C' be symmetric to P with respect to the midpoints of BC, CA, and AB, respectively. Then AA', BB', and CC' are concurrent.
Contributed by:
Jay Warendorff
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See problem 5.43 in V. Prasolov,
Problems in Plane and Solid Geometry
, Vol. 1,
Plane Geometry
[PDF], (D. Leites, ed. and trans.).
RELATED LINKS
Midpoint
(
Wolfram
MathWorld
)
Reflection
(
Wolfram
MathWorld
)
Symmetric
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Reflecting a Point through the Midpoints of a Triangle's Sides
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ReflectingAPointThroughTheMidpointsOfATrianglesSides/
Contributed by:
Jay Warendorff
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