\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{Celia (CCRoses)} \pdfinfo{ /Title (geometry-unit-7.pdf) /Creator (Cheatography) /Author (Celia (CCRoses)) /Subject (Geometry Unit 7 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \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}{D59FF5} \definecolor{LightBackground}{HTML}{F9F3FD} \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 Unit 7 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Celia (CCRoses)} via \textcolor{DarkBackground}{\uline{cheatography.com/118676/cs/21979/}}} \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}Celia (CCRoses) \\ \uline{cheatography.com/ccroses} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 1st April, 2020.\\ Updated 25th March, 2020.\\ 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*}{3} \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Vocabulary}} \tn % Row 0 \SetRowColor{LightBackground} Similar Polygons & Two polygons are similar polygons if and only if their corresponding angles are congruent and their corresponding side lengths are proportional \tn % Row Count 6 (+ 6) % Row 1 \SetRowColor{white} Similarity Ratio & The ratio of the lengths of the corresponding sides of two similar polygons \tn % Row Count 10 (+ 4) % Row 2 \SetRowColor{LightBackground} Similarity Transformation & A dilation or a composite of one or more dilations and one or more congruence transformations \tn % Row Count 14 (+ 4) % Row 3 \SetRowColor{white} Dilation & (k{\emph{x}}, k{\emph{y}}) \tn % Row Count 15 (+ 1) % Row 4 \SetRowColor{LightBackground} Indirect Measurement & Any method of measuring that uses formulas, similar figures, and/or proportions to measure an object \tn % Row Count 20 (+ 5) % Row 5 \SetRowColor{white} Scale Drawing & Represents an object as smaller or larger than its actual size \tn % Row Count 23 (+ 3) % Row 6 \SetRowColor{LightBackground} Scale & The ratio of any length in the drawing to the corresponding actual length \tn % Row Count 27 (+ 4) % Row 7 \SetRowColor{white} Dilation & A transformation that changes the size of a figure but not its shape \tn % Row Count 30 (+ 3) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Vocabulary (cont)}} \tn % Row 8 \SetRowColor{LightBackground} Scale Factor & Describes how much the figure is enlarge or reduced \tn % Row Count 3 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Similar Shapes}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{All circles and squares are similar because they all have the same shape.% Row Count 2 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{0.9954 cm} x{3.9816 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Properties of Similarity}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Reflexive} & Triangle ABC is similar to triangle ABC \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Symmetric} & If triangles ABC is similar to DEF, then triangle DEF is similar to triangle ABC \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} \seqsplit{Transitive} & If triangle ABC is similar to DEF and triangle DEF is similar to XYZ, then triangle ABC is similar to triangle XYZ \tn % Row Count 9 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Theorems \& Postulates}} \tn % Row 0 \SetRowColor{LightBackground} Angle-Angle (AA) Similarity Postulate & If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar \tn % Row Count 6 (+ 6) % Row 1 \SetRowColor{white} Side-Side-Side (SSS) Similarity Theorem & If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar \tn % Row Count 13 (+ 7) % Row 2 \SetRowColor{LightBackground} Aide-Angle-Side (SAS) Similarity & If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar \tn % Row Count 21 (+ 8) % Row 3 \SetRowColor{white} Triangle Proportionality Theorem & If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally \tn % Row Count 27 (+ 6) % Row 4 \SetRowColor{LightBackground} Converse of the Triangle Proportionality Theorem & If a line divides two sides of a triangle proportionally, then it is parallel to the third side \tn % Row Count 32 (+ 5) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Theorems \& Postulates (cont)}} \tn % Row 5 \SetRowColor{LightBackground} Two-Transversal Proportionality & If three or more parallel lines intersect two transversals, then they divide the transversals proportionally \tn % Row Count 6 (+ 6) % Row 6 \SetRowColor{white} Triangle Angle Bisector Theorem & An angle bisector of a triangle divides the opposite sides into two segments whose lengths are proportional to the lengths of the other two sides \tn % Row Count 14 (+ 8) % Row 7 \SetRowColor{LightBackground} Proportional Perimeters and Areas Theorem & If the similarity ratio of two similar figures is a/b, then the ratio of their perimeters is a/b, and the ratio of their areas is a\textasciicircum{}2\textasciicircum{}/b\textasciicircum{}2\textasciicircum{} \tn % Row Count 21 (+ 7) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}