\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{baseballboy123}
\pdfinfo{
  /Title (geometry-final-cheat-sheet.pdf)
  /Creator (Cheatography)
  /Author (baseballboy123)
  /Subject (Geometry Final Cheat Sheet)
}

% Lengths and widths
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\addtolength{\voffset}{-2cm}
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\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}{10B326}
\definecolor{LightBackground}{HTML}{F0FAF1}
\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 Final Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{baseballboy123} via \textcolor{DarkBackground}{\uline{cheatography.com/23982/cs/8334/}}}
\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}baseballboy123 \\
  \uline{cheatography.com/baseballboy123} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 5th June, 2016.\\
   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{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Statements}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{conditional}} & an "if, then" statement (p-\textgreater{}q) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
{\bf{converse}} & switches hypothesis and conclusion (q-\textgreater{}p) \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{biconditional}} & combination of condition and its converse "if and only if"" \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
{\bf{Law of Detachment}} & conditional, and hypothesis is true, conclusion is true \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
{\bf{Law of Syllogism}} & when one true conditional is the same as the hypothesis is another true statement \tn 
% Row Count 14 (+ 4)
% Row 5
\SetRowColor{white}
{\bf{negation}} & the negation changes truth value \tn 
% Row Count 16 (+ 2)
% Row 6
\SetRowColor{LightBackground}
{\bf{inverse}} & negates hypothesis and conclusion \tn 
% Row Count 18 (+ 2)
% Row 7
\SetRowColor{white}
{\bf{contrapositive}} & switches hypothesis and negates both \tn 
% Row Count 20 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.44 cm} x{4.56 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Properties}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Equality}}}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
{\bf{addition property}} & if a=b, then a+c=b+c \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{subtraction property}} & if a=b, then a-c=b-c \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
{\bf{multiplication property}} & if a=b, then ac=bc \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
{\bf{reflexive property}} & a=a \tn 
% Row Count 9 (+ 2)
% Row 5
\SetRowColor{white}
{\bf{transitive property}} & if a=b, then b=a \tn 
% Row Count 11 (+ 2)
% Row 6
\SetRowColor{LightBackground}
{\bf{substitution property}} & if a=b then b can replace a \tn 
% Row Count 13 (+ 2)
% Row 7
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Congruence}}}}} \tn 
% Row Count 14 (+ 1)
% Row 8
\SetRowColor{LightBackground}
{\bf{reflexive property}} & AB = AB,   A =   A \tn 
% Row Count 16 (+ 2)
% Row 9
\SetRowColor{white}
{\bf{symmetric property}} & if AB = CD, then CD = AB \tn 
% Row Count 18 (+ 2)
% Row 10
\SetRowColor{LightBackground}
{\bf{transitive property}} & if AB = CD and CD = EF, then AB = EF \tn 
% Row Count 20 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Triangles}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Congruence}}}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
{\bf{ASA}} & angle, included side, angle \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{AAS}} & angle, angle, non-included side \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
{\bf{SSS}} & side, side, side \tn 
% Row Count 6 (+ 1)
% Row 4
\SetRowColor{LightBackground}
{\bf{SAS}} & side, included angle, side \tn 
% Row Count 8 (+ 2)
% Row 5
\SetRowColor{white}
{\bf{HL}} & hypotenuse, leg \tn 
% Row Count 9 (+ 1)
% Row 6
\SetRowColor{LightBackground}
{\bf{CPCTC}} & after triangles proved congruent \tn 
% Row Count 11 (+ 2)
% Row 7
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Right Triangles}}}}} \tn 
% Row Count 12 (+ 1)
% Row 8
\SetRowColor{LightBackground}
{\bf{tangent (tan)}} & opposite/adjacent \tn 
% Row Count 14 (+ 2)
% Row 9
\SetRowColor{white}
{\bf{sine (sin)}} & opposite/hypotenuse \tn 
% Row Count 15 (+ 1)
% Row 10
\SetRowColor{LightBackground}
{\bf{cosine (cos)}} & adjacent/hypotenuse \tn 
% Row Count 17 (+ 2)
% Row 11
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Special Right Triangles}}}}} \tn 
% Row Count 18 (+ 1)
% Row 12
\SetRowColor{LightBackground}
{\bf{45-45-90}} & {\emph{legs:}} congruent, {\emph{hyp:}} √2(leg) \tn 
% Row Count 20 (+ 2)
% Row 13
\SetRowColor{white}
{\bf{30-60-90}} & {\emph{hyp:}} 2(short leg) {\emph{long leg:}} √3(short leg) \tn 
% Row Count 22 (+ 2)
% Row 14
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Similarity}}}}} \tn 
% Row Count 23 (+ 1)
% Row 15
\SetRowColor{white}
{\bf{AA\textasciitilde{}}} & two angles equal \tn 
% Row Count 24 (+ 1)
% Row 16
\SetRowColor{LightBackground}
{\bf{SAS\textasciitilde{}}} & ratio of sides is equal, included angle congruent \tn 
% Row Count 27 (+ 3)
% Row 17
\SetRowColor{white}
{\bf{SSS\textasciitilde{}}} & all side ratios equal \tn 
% Row Count 28 (+ 1)
% Row 18
\SetRowColor{LightBackground}
{\bf{{\emph{Pythagorean Theorem}}}} & a\textasciicircum{}2\textasciicircum{}+b\textasciicircum{}2\textasciicircum{}=c\textasciicircum{}2\textasciicircum{} (right) \tn 
% Row Count 30 (+ 2)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Triangles (cont)}}  \tn
% Row 19
\SetRowColor{LightBackground}
{\bf{obtuse}} & c\textasciicircum{}2\textasciicircum{}\textgreater{}a\textasciicircum{}2\textasciicircum{}+b\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 1 (+ 1)
% Row 20
\SetRowColor{white}
{\bf{acute}} & c\textasciicircum{}2\textasciicircum{}\textless{}a\textasciicircum{}2\textasciicircum{}+b\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 2 (+ 1)
% Row 21
\SetRowColor{LightBackground}
{\bf{{\emph{Triples}}}} & (3,4,5) (5,12,13) (8,15,17) \tn 
% Row Count 4 (+ 2)
% Row 22
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Other}}}}} \tn 
% Row Count 5 (+ 1)
% Row 23
\SetRowColor{LightBackground}
{\bf{if, a+b\textgreater{}c}} & then, three sides form a triangle \tn 
% Row Count 7 (+ 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}{Tangent Lines}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{tangent}} & line that intersects circle at one point \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
{\bf{point of tangency}} & where circle and tangent intersect \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{congruent segments}} & the two segments from one point of tangency \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.36 cm} x{4.64 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Properties of Parallel Lines}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{transversal}} & line that intersects two coplanar lines at distinct points \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
{\bf{alternate interior angles}} & opposite side of transversal inside of two lines \tn 
% Row Count 6 (+ 3)
% Row 2
\SetRowColor{LightBackground}
{\bf{same side interior angles}} & same side of transversal inside of two lines \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
{\bf{corresponding angles}} & overlap if overlaid \tn 
% Row Count 10 (+ 2)
% Row 4
\SetRowColor{LightBackground}
{\bf{same side exterior angles}} & same side of transversal outside of two lines \tn 
% Row Count 12 (+ 2)
% Row 5
\SetRowColor{white}
{\bf{alternate exterior angles}} & opposite side of transversal outside of two lines \tn 
% Row Count 15 (+ 3)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{CONVERSES -\textgreater{} PARALLEL LINES}}}}} \tn 
% Row Count 16 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.96 cm} x{5.04 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Formulas}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{AREA}}}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
{\bf{sector}} & {\emph{degrees "represented"}} x πr\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{circle}} & πr\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
{\bf{triangle}} & 1/2 bh {\bf{{\emph{or}}}} 1/2 bc(sin A) \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
{\bf{trapezoid}} & 1/2h(b\textasciicircum{}1\textasciicircum{}+b\textasciicircum{}2\textasciicircum{}) \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
{\bf{kite or rhombus}} & 1/2(d\textasciicircum{}1\textasciicircum{})(d\textasciicircum{}2\textasciicircum{}) \tn 
% Row Count 9 (+ 2)
% Row 6
\SetRowColor{LightBackground}
{\bf{rectangle}} & bh \tn 
% Row Count 10 (+ 1)
% Row 7
\SetRowColor{white}
{\bf{parallelogram}} & bh \tn 
% Row Count 12 (+ 2)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Length}}}}} \tn 
% Row Count 13 (+ 1)
% Row 9
\SetRowColor{white}
{\bf{circumference}} & 2πr {\bf{{\emph{or}}}} πd \tn 
% Row Count 15 (+ 2)
% Row 10
\SetRowColor{LightBackground}
{\bf{arc length}} & central angle/360 x 2πr \tn 
% Row Count 16 (+ 1)
% Row 11
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{{\emph{Coordinate Geometry}}}}} \tn 
% Row Count 17 (+ 1)
% Row 12
\SetRowColor{LightBackground}
{\bf{distance}} & \{\{nl\}\} \{\{nl\}\} \{\{nl\}\} \tn 
% Row Count 18 (+ 1)
% Row 13
\SetRowColor{white}
{\bf{midpoint}} & \{\{nl\}\} \{\{nl\}\} \{\{nl\}\} \tn 
% Row Count 19 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Circles in Triangles}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{point of concurrency}} & point at which 3 or more lines intersect \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
{\bf{circumcenter}} & point of concurrency, (p. bisectors) \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{circumscribed circle}} & through all vertices \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
{\bf{incenter}} & point of concurrency, (a. bisectors) \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
{\bf{inscribed circle}} & largest contained circle \tn 
% Row Count 10 (+ 2)
% Row 5
\SetRowColor{white}
{\bf{median of triangle}} & endpoints: vertex, median \tn 
% Row Count 12 (+ 2)
% Row 6
\SetRowColor{LightBackground}
{\bf{centroid}} & point of concurrency, (medians) \tn 
% Row Count 14 (+ 2)
% Row 7
\SetRowColor{white}
{\bf{altitude}} & p. segment, vertex to opposite side \tn 
% Row Count 16 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.64 cm} x{5.36 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Vectors}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{vector}} & any quantity with magnitude (size) and direction \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
{\bf{resultant vector}} & {\bf{{\emph{a+c}}}} = \textless{}x\textasciicircum{}1\textasciicircum{},x\textasciicircum{}2\textasciicircum{}\textgreater{}\textless{}y\textasciicircum{}1\textasciicircum{},y\textasciicircum{}2\textasciicircum{}\textgreater{} \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}