File:Parallelogram diagonals bisect.svg
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Size of this PNG preview of this SVG file: 167 × 94 pixels. Other resolutions: 320 × 180 pixels | 640 × 360 pixels | 1,024 × 576 pixels | 1,280 × 720 pixels | 2,560 × 1,441 pixels.
Original file (SVG file, nominally 167 × 94 pixels, file size: 13 KB)
Captions
Captions
Figure for proof that the diagonals of a parallelogram bisect each other.
Summary
[edit]| Description |
Ελληνικά: Σχήμα απόδειξης ότι οι διαγώνιοι ενός παραλληλογράμμου διχοτομούνται. |
| Date | |
| Source | Own work |
| Author | Dimitris131 |
| SVG development |  This vector image was created with LaTeX. |
| Source code | 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,3.5/0/C,1/2/A,4.5/2/B}
\tkzInterLL(A,C)(B,D) \tkzGetPoint{O}
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,O)
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](D,O,C)
\tkzFillAngles[fill=AngleClr,size=.4,fill opacity=0.1](A,B,D C,D,B)
\tkzMarkAngles[line width=1pt,color=AngleClr,size=.4](A,B,D C,D,B)
\tkzMarkAngles[mark=|,mksize=2,line width=1pt,size=.4,color=AngleClr](A,B,D C,D,B)
\tkzFillAngles[fill=AngleClr,size=.5,fill opacity=0.1](O,C,D O,A,B)
\tkzMarkAngles[line width=1pt,color=AngleClr,size=.4](O,C,D O,A,B)
\tkzMarkAngles[line width=1pt,color=AngleClr,size=.5](O,C,D O,A,B)
\tkzDrawSegments[line width=0.5pt,color=black](A,C B,D)
\tkzDrawPolygon[color=ShapeClr](A,B,C,D)
\tkzDrawPoints[size=3](A,B,C,D,O)
\tkzLabelPoint[above left](A){$\rm A$}
\tkzLabelPoint[above right](B){$\rm B$}
\tkzLabelPoint[below right](C){$\rm \Gamma$};
\tkzLabelPoint[below left](D){$\rm \Delta$};
\tkzLabelPoint[below](O){$\rm O$};
\tkzMarkSegments[mark=s||,size=3](C,D A,B)
\end{tikzpicture}
\end{document}
|
Licensing
[edit]
|
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. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 10:17, 28 August 2024 | | 167 × 94 (13 KB) | Dimitris131 (talk | contribs) | Shade only the equal triangles |
| 23:58, 29 August 2023 |  | 167 × 94 (13 KB) | Dimitris131 (talk | contribs) | {{Πληροφορίες εικόνας |Περιγραφή=Σχήμα απόδειξης ότι οι διαγώνιοι ενός παραλληλογράμμου διχοτομούνται |Πηγή= |Ημερομηνία=30/08/23 |Δημιουργός=Dimitris131 |Άδεια χρήσης= }} |
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