File:Equidiagonal varignon.svg

Summary

Description
Ελληνικά: Το παραλληλόγραμμο Βαρινιόν για ένα τετράπλευρο που έχει ίσες διαγωνίους είναι ρόμβος.
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}
\usepackage{fp}

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

\definecolor{BlueClr}{RGB}{5,81,163}

\begin{document}

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

\tkzDefPoints{-0.5/0.4/A,1.5/-2.6/C,-1/-1/D,2/1/B}

% Find the intersection of the diagonals.
\tkzInterLL(B,D)(A,C) \tkzGetPoint{I}

% Find the four midpoints.
\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,inner sep=1cm](A,B,C,D)
\tkzFillPolygon[fill=BlueClr,fill opacity=0.1,inner sep=1cm](M1,M2,M3,M4)

% Draw diagonals.
\tkzDrawSegment[line width=0.5pt,color=black](A,C)
\tkzDrawSegment[line width=0.5pt,color=black](B,D)

\tkzDrawPolygon[color=ShapeClr](A,B,C,D)
\tkzDrawPolygon[color=BlueClr](M1,M2,M3,M4)
\tkzDrawPoints[size=3](A,B,C,D,M1,M2,M3,M4)

\tkzLabelPoint[above left](A){$\mathrm{A}$}
\tkzLabelPoint[above right](B){$\mathrm{B}$}
\tkzLabelPoint[below right](C){$\mathrm{\Gamma}$}
\tkzLabelPoint[below left](D){$\mathrm{\Delta}$}

\tkzLabelPoint[scale=0.75,above](M1){$\mathrm{M}_1$}
\tkzLabelPoint[scale=0.75,right](M2){$\mathrm{M}_2$}
\tkzLabelPoint[scale=0.75,below](M3){$\mathrm{M}_3$}
\tkzLabelPoint[scale=0.75,left](M4){$\mathrm{M}_4$}

\tkzMarkSegments[mark=s||,size=2](M1,M2 M2,M3 M3,M4 M4,M1)

\end{tikzpicture}

\end{document}

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Category:CC-Zero#Equidiagonal%20varignon.svgCategory:Self-published work
Category:Geometry
Category:CC-Zero Category:Geometry Category:Self-published work Category:Valid SVG created with LaTeX code