\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{RednBlueArtist}
\pdfinfo{
  /Title (geometry-eoc.pdf)
  /Creator (Cheatography)
  /Author (RednBlueArtist)
  /Subject (Geometry EOC Cheat Sheet)
}

% Lengths and widths
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\addtolength{\textheight}{-1cm}
\addtolength{\hoffset}{-3cm}
\addtolength{\voffset}{-2cm}
\setlength{\tabcolsep}{0.2cm} % Space between columns
\setlength{\headsep}{-12pt} % Reduce space between header and content
\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
\definecolor{HeadBackground}{HTML}{333333}
\definecolor{FootBackground}{HTML}{666666}
\definecolor{TextColor}{HTML}{333333}
\definecolor{DarkBackground}{HTML}{D6BEA3}
\definecolor{LightBackground}{HTML}{F9F6F3}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Geometry EOC Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{RednBlueArtist} via \textcolor{DarkBackground}{\uline{cheatography.com/212862/cs/46344/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}RednBlueArtist \\
  \uline{cheatography.com/rednblueartist} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 13th May, 2025.\\
   Updated 13th May, 2025.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Formulas of 2-D and 3-D Figures}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/rednblueartist_1747156800_IMG_0573.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Pythagorean Theorem}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{a\textasciicircum{}2\textasciicircum{} + b\textasciicircum{}2\textasciicircum{} = c\textasciicircum{}2\textasciicircum{} \newline % Row Count 1 (+ 1)
———— \newline % Row Count 2 (+ 1)
If {\bf{a\textasciicircum{}2\textasciicircum{} + b\textasciicircum{}2\textasciicircum{} = c\textasciicircum{}2\textasciicircum{}}}, then the triangle is {\bf{right}} \newline % Row Count 4 (+ 2)
If {\bf{a\textasciicircum{}2\textasciicircum{} + b\textasciicircum{}2\textasciicircum{} \textgreater{} c\textasciicircum{}2\textasciicircum{}}}, then the triangle is {\bf{acute}} \newline % Row Count 6 (+ 2)
If {\bf{a\textasciicircum{}2\textasciicircum{} + b\textasciicircum{}2\textasciicircum{} \textless{} c\textasciicircum{}2\textasciicircum{}}}, then the triangle is {\bf{obtuse}}% Row Count 8 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Special Right Triangles}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/rednblueartist_1747157001_IMG_0574.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Arc Length and Sector Area}}  \tn
% Row 0
\SetRowColor{LightBackground}
Arc Length & (M/360)*2πr \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Sector Area & (M/360)*πr\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 2 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{M = angle measure of sector}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.12 cm} x{4.88 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Coordinate Formulas}}  \tn
% Row 0
\SetRowColor{LightBackground}
Distance between 2 points & √ {\bf{(}}(x\textasciitilde{}2\textasciitilde{}-x\textasciitilde{}1\textasciitilde{})\textasciicircum{}2\textasciicircum{}+(y\textasciitilde{}2\textasciitilde{}-y\textasciitilde{}1\textasciitilde{})\textasciicircum{}2\textasciicircum{}{\bf{)}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Midpoint of a line segment & (x\textasciitilde{}2\textasciitilde{} + x\textasciitilde{}1\textasciitilde{})/2,(y\textasciitilde{}2\textasciitilde{} + y\textasciitilde{}1\textasciitilde{})/2 \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Slope Formula & (y\textasciitilde{}2\textasciitilde{} - y\textasciitilde{}1\textasciitilde{})/(x\textasciitilde{}2\textasciitilde{} - x\textasciitilde{}1\textasciitilde{} \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.8 cm} x{5.2 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Congruent Triangles}}  \tn
% Row 0
\SetRowColor{LightBackground}
Valid & SSS, SAS, ASA, AAS, \& HL \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
{\bf{NOT}} Valid & SSA or the coverse \tn 
% Row Count 2 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{HL only applies to right triangles}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Equation of a Circle}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/rednblueartist_1747158545_IMG_0576.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Parallel Lines cut by a Transversal}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/rednblueartist_1747158686_IMG_0578.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{5.28 cm} x{2.72 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Polygon Interior/Exterior Angles}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Sum of Int. Angles}} & 180(n - 2) \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Each Int. Angle Measure & 180(n - 2)/n \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
{\bf{Sum of Ext. Angles}} & 360 \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Each Ext. Angle Measure & 360/n \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4.16 cm} x{3.84 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Conditionals}}  \tn
% Row 0
\SetRowColor{LightBackground}
Conditional (Original) & if p, then q \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Converse & If q, then p \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Inverse & If not p, then not q \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
Contrapositive & If not q, then not p \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Biconditional & p if and only if q \tn 
% Row Count 8 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Circles}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/rednblueartist_1747156889_IMG_0572.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Trigonometric Ratios}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/rednblueartist_1747157071_IMG_0575.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.08 cm} x{5.92 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Triangle}}  \tn
% Row 0
\SetRowColor{LightBackground}
Scalene & no congruent sides \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Isosceles & 2 congruent sides \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{Equilateral} & 3 sides congruent \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
\seqsplit{Equiangular} & 3 congruent angles (60 degrees) \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Acute & all acute angle \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
Right & one right angle \tn 
% Row Count 8 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Obtuse & one obtuse angle \tn 
% Row Count 9 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Equiangular = Equilateral \newline  \newline Exterior angle of a triangle equals the sum of the 2 non-adjacent interior angles \newline  \newline Mid-segment of a triangle is parallel to the third side and half the length of the third side}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}