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% Document Info
\author{Heavenly Supreme (HeavenlySupreme)}
\pdfinfo{
  /Title (grade-9-parallelograms-math-3rd-semester.pdf)
  /Creator (Cheatography)
  /Author (Heavenly Supreme (HeavenlySupreme))
  /Subject (Grade 9 Parallelograms Math (3rd Semester) Cheat Sheet)
}

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\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Grade 9 Parallelograms Math (3rd Semester) Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Heavenly Supreme (HeavenlySupreme)} via \textcolor{DarkBackground}{\uline{cheatography.com/183135/cs/38129/}}}
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\noindent
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Heavenly Supreme (HeavenlySupreme) \\
  \uline{cheatography.com/heavenlysupreme} \\
  \end{tabulary}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 7th April, 2023.\\
   Updated 7th April, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{QUADRILATERAL}}  \tn
% Row 0
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\mymulticolumn{1}{x{8.4cm}}{Is a Four sided Polygon, having 4 Edges(sides)} \tn 
% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{8.4cm}}{Derived from latin words "Quadri" a Variation of Four and "Lotus"  meaning Side.} \tn 
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% Row 2
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\mymulticolumn{1}{x{8.4cm}}{another name for it is "tetragon"} \tn 
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% Row 3
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\mymulticolumn{1}{x{8.4cm}}{Derived from the Greek word "Tetra" meaning four and "Gon" meaning Corner or Angles} \tn 
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Properties of a Parallelogram}}  \tn
% Row 0
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\mymulticolumn{1}{x{8.4cm}}{Consecutive Angles are Supplementary} \tn 
% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{8.4cm}}{Parallel Sides are Congruent} \tn 
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% Row 2
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\mymulticolumn{1}{x{8.4cm}}{Opposite Angles are Congruent} \tn 
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% Row 3
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\mymulticolumn{1}{x{8.4cm}}{Diagonals Bisect each other} \tn 
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% Row 4
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\mymulticolumn{1}{x{8.4cm}}{Diagonals Bisect the Parallelogram into two Congruent Triangles} \tn 
% Row Count 6 (+ 2)
% Row 5
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\mymulticolumn{1}{x{8.4cm}}{Diagonals are Congruent} \tn 
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\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{PROVING THEOREMS and POSTULATES}}  \tn
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VAT Vertical Angles Theorem & Vertical angles are Congruent \tn 
% Row Count 2 (+ 2)
% Row 1
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AAP Angle Addition Postulate & if three Sides of one Triangles are Congruent to the Corresponding parts of another. then triangles are Congruent \tn 
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% Row 2
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CPCTC & Corresponding Parts of Congruent Triangles are Congruent \tn 
% Row Count 10 (+ 3)
% Row 3
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LC Congruence Theorem & if the Leg of another Right Triangle is Congruent, then the two Right Triangles are Congruent \tn 
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\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{TRAPEZOID}}  \tn
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\mymulticolumn{1}{x{8.4cm}}{Is a Quadrilateral in which are and only one pair of opposite sides are parallel} \tn 
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% Row 1
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\mymulticolumn{1}{x{8.4cm}}{The Parallel sides of a trapezoid are called BASES} \tn 
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% Row 2
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\mymulticolumn{1}{x{8.4cm}}{The Non-Parallel sides are Called LEGS} \tn 
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% Row 3
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\mymulticolumn{1}{x{8.4cm}}{The pair of angles formed by a base and legs are called BASE ANGLES} \tn 
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% Row 4
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\mymulticolumn{1}{x{8.4cm}}{if the LEGS of the Trapezoid are Congruent, then the Trapezoid is called an ISOSCELES TRAPEZOID} \tn 
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\mymulticolumn{1}{x{8.4cm}}{RECTANGLE a quadrilateral with four right angles} \tn 
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\mymulticolumn{1}{x{8.4cm}}{SQUARE a quadrilateral with four congruent angles and sides} \tn 
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% Row 4
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\mymulticolumn{1}{x{8.4cm}}{TRAPEZOID a quadrilateral with one pair of parallel sides} \tn 
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% Row 5
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\mymulticolumn{1}{x{8.4cm}}{KITE a quadrilateral with two distinct pairs of consecutive sides that are congruent} \tn 
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Properties & \seqsplit{Parallelogram} & \seqsplit{Rectangle} \tn 
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% Row 1
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Opposite Sides are Parallel & True & True \tn 
% Row Count 4 (+ 2)
% Row 2
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Opposite Angles are Congruent & True & True \tn 
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% Row 3
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Diagonals Bisect each other & True & True \tn 
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Either Diagonals form Two Congruent Triangles & True & True \tn 
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Pairs of Opposite Sides are Congruent and Parallel & True & True \tn 
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Opposite Sides are Congruent & True & True \tn 
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% Row 8
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Diagonals are perpendicular & False & False \tn 
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Diagonals Bisect a pair of Opposite Angles & False & False \tn 
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Diagonals are Congruent & False & True \tn 
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Diagonals are Both Perpendicular and Congruent & False & False \tn 
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\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{ISOSCELES TRAPEZOID}}  \tn
% Row 0
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% Row 3
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\mymulticolumn{1}{x{8.4cm}}{Diagonals are Congruent} \tn 
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\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Median of Trapezoid}}  \tn
% Row 0
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\mymulticolumn{1}{x{8.4cm}}{is a Segment which Joints the Mid Points of the Non-Parallel Sides.} \tn 
% Row Count 2 (+ 2)
% Row 1
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\mymulticolumn{1}{x{8.4cm}}{It is Parallel to the Bases and has a Length  equal to 1/2 the sum of the length of the bases} \tn 
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% Row 2
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\mymulticolumn{1}{x{8.4cm}}{(Upper Base + Lower Base)/2} \tn 
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% That's all folks
\end{multicols*}

\end{document}