File:Varignon theorem el.svg

Summary

Description
Ελληνικά: Τα μέσα ενός τετραπλεύρου φτιάχνουν ένα παραλληλόγραμμο.
Date
Source Own work
Author Dimitris131
SVG development
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Source code
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LaTeX code

\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{mathrsfs}
\usetikzlibrary{arrows,calc}
\usepackage{tkz-euclide}

\pagestyle{empty}

\definecolor{AngleClr}{rgb}{0,0.39215686274509803,0}
\definecolor{ShapeClr}{rgb}{0.6,0.2,0}

\begin{document}

\begin{tikzpicture}[scale=.75]
\tkzSetUpLine[line width=1pt,color=black]
\tkzSetUpPoint[fill=black]

\tkzDefPoints{0/0/D,4.86/0.27/C,2.446875/3.54375/B,-1.0125/2.3625/A}

\tkzDefMidPoint(A,B) \tkzGetPoint{M1}
\tkzDefMidPoint(B,C) \tkzGetPoint{M2}
\tkzDefMidPoint(C,D) \tkzGetPoint{M3}
\tkzDefMidPoint(D,A) \tkzGetPoint{M4}


\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,C,D)
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](M1,M2,M3,M4)

\tkzDrawPolygon[color=ShapeClr](A,B,C,D)
\tkzDrawPolygon[color=ShapeClr](M1,M2,M3,M4)
\tkzDrawPoints[size=3](A,B,C,D,M1,M2,M3,M4)
\tkzLabelPoint[left](A){$\mathrm{A}$}
\tkzLabelPoint[above](B){$\mathrm{B}$}
\tkzLabelPoint[right](C){$\mathrm{\Gamma}$}
\tkzLabelPoint[below left](D){$\mathrm{\Delta}$}

\tkzLabelPoint[above](M1){$\mathrm{M_1}$}
\tkzLabelPoint[right](M2){$\mathrm{M_2}$}
\tkzLabelPoint[below](M3){$\mathrm{M_3}$}
\tkzLabelPoint[left](M4){$\mathrm{M_4}$}

\tkzMarkSegments[mark=||,size=3](M1,M2 M3,M4)
\tkzMarkSegments[mark=|,size=3](M2,M3 M1,M4)

\end{tikzpicture}
\end{document}

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Varignon%20theorem%20el.svgCategory:PD-self#Varignon%20theorem%20el.svg
Category:PD-self Category:Self-published work Category:Valid SVG created with LaTeX code