10765
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in
Trapezoid: Triangle, Diagonals, Midpoints, Bases
.
RELATED LINKS
Midpoint
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
Parallel Lines
(
Wolfram
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
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
The Midpoints of Two Cevians
Jay Warendorff
Concurrency via Midpoints
Jay Warendorff
A Circumcircle through the Midpoint of a Triangle's Side
Jay Warendorff
Projections of Midpoints onto Circumradii
Jay Warendorff
Concyclic Points Derived from Midpoints of Altitudes
Jay Warendorff
The Triangles Formed by the Endpoints and Midpoints of Cevians
Jay Warendorff
Reflecting a Point through the Midpoints of a Triangle's Sides
Jay Warendorff
Dividing a Triangle by Lines Parallel to Two Sides
Jay Warendorff
Reflections of a Point in the Midpoints of a Triangle's Sides
Jay Warendorff
A Concurrency from the Midpoints of Line Segments through the Circumcenter
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+