10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Reflections of a Point in the Midpoints of a Triangle's Sides
Jay Warendorff
A Circumcircle through the Midpoint of a Triangle's Side
Jay Warendorff
Points Symmetric to the Orthocenter with Respect to the Sides of a Triangle
Jay Warendorff
A Concurrency Involving the Midpoints of the Sides and the Altitudes
Jay Warendorff
A Concurrency from the Midpoints of Line Segments through the Circumcenter
Jay Warendorff
Concyclic Points Derived from Midpoints of Altitudes
Jay Warendorff
The Triangles Formed by the Endpoints and Midpoints of Cevians
Jay Warendorff
Concurrency via Midpoints
Jay Warendorff
A Line Parallel to a Side of a Triangle
Jay Warendorff
A Triangle Formed by the Centers of Three Nine-Point Circles
Jay Warendorff
Related Topics
Plane Geometry
Triangles
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+