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% Document Info
\author{Jalena Tati}
\pdfinfo{
  /Title (geometry-exam.pdf)
  /Creator (Cheatography)
  /Author (Jalena Tati)
  /Subject (Geometry Exam Cheat Sheet)
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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{Geometry Exam Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Jalena Tati} via \textcolor{DarkBackground}{\uline{cheatography.com/32648/cs/10082/}}}
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\noindent
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Jalena Tati \\
  \uline{cheatography.com/jalena-tati} \\
  \end{tabulary}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 6th December, 2016.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{multicols*}{4}

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\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{All Formulas}}  \tn
% Row 0
\SetRowColor{LightBackground}
Interior Angles: & Sum of the measures of interior angles of a triangle = 180 \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Exterior Angle of a Triangle: & m∠1= m∠A+m∠B \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Exterior Angles: & Sum of the measure of exterior angles of a convex polygon = 360 \tn 
% Row Count 9 (+ 4)
% Row 3
\SetRowColor{white}
Given Point: & A(x1,y1) and B(x2,y2) \tn 
% Row Count 11 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Midpoint: & (x1+x2/2, y1+x1/2) \tn 
% Row Count 12 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{3.833cm}}{Distance Formula:} \tn 
% Row Count 13 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Slope & rise/run= y2-y1/x2-x1 \tn 
% Row Count 15 (+ 2)
% Row 7
\SetRowColor{white}
Slope- Intercept form of linear equation with slope m and y-intercept b: & y=mx+b \tn 
% Row Count 19 (+ 4)
% Row 8
\SetRowColor{LightBackground}
Zero slope: & Horizontal \tn 
% Row Count 20 (+ 1)
% Row 9
\SetRowColor{white}
Negative slope: & Goes down left to right \tn 
% Row Count 22 (+ 2)
% Row 10
\SetRowColor{LightBackground}
Positive slope: & Rises left from to the right \tn 
% Row Count 24 (+ 2)
% Row 11
\SetRowColor{white}
Undefined Slope: & vertical slope of parallel lines: same slope. Slope of perpendicular lines: m1. m2=-1 : write an equation from the graph then fin the slope \& y value. \tn 
% Row Count 32 (+ 8)
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\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Symbols}}  \tn
% Row 0
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\mymulticolumn{1}{x{3.833cm}}{AB - Line AB} \tn 
% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{3.833cm}}{Ab - Segment AB} \tn 
% Row Count 2 (+ 1)
% Row 2
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\mymulticolumn{1}{x{3.833cm}}{AB - Ray AB} \tn 
% Row Count 3 (+ 1)
% Row 3
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\mymulticolumn{1}{x{3.833cm}}{≅ - Congruent} \tn 
% Row Count 4 (+ 1)
% Row 4
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\mymulticolumn{1}{x{3.833cm}}{∠ABC - Angle ABC} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{m∠A - Measure of angle A} \tn 
% Row Count 6 (+ 1)
% Row 6
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\mymulticolumn{1}{x{3.833cm}}{|- Perpendicular to} \tn 
% Row Count 7 (+ 1)
% Row 7
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\mymulticolumn{1}{x{3.833cm}}{|| - Parallel to} \tn 
% Row Count 8 (+ 1)
% Row 8
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\mymulticolumn{1}{x{3.833cm}}{m - Slope} \tn 
% Row Count 9 (+ 1)
% Row 9
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\mymulticolumn{1}{x{3.833cm}}{Δ ABC - Triangle ABC} \tn 
% Row Count 10 (+ 1)
% Row 10
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{\textless{} -  Is less than} \tn 
% Row Count 11 (+ 1)
% Row 11
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\mymulticolumn{1}{x{3.833cm}}{\textgreater{} - Is greater than} \tn 
% Row Count 12 (+ 1)
% Row 12
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\mymulticolumn{1}{x{3.833cm}}{≠- Is not equal to} \tn 
% Row Count 13 (+ 1)
% Row 13
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\mymulticolumn{1}{x{3.833cm}}{≅ - Is not congruent to} \tn 
% Row Count 14 (+ 1)
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\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{All Properties:}}  \tn
% Row 0
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\mymulticolumn{1}{x{3.833cm}}{Addition Property of Equality -  A=B then A+C= B+C} \tn 
% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{3.833cm}}{Subtraction Property of Equality -} \tn 
% Row Count 2 (+ 1)
% Row 2
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\mymulticolumn{1}{x{3.833cm}}{Multiplication Property of Equality -} \tn 
% Row Count 3 (+ 1)
% Row 3
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\mymulticolumn{1}{x{3.833cm}}{Devision Property of Equality -} \tn 
% Row Count 4 (+ 1)
% Row 4
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\mymulticolumn{1}{x{3.833cm}}{Reflexive Property of Equality - A=A; AB=AB} \tn 
% Row Count 5 (+ 1)
% Row 5
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\mymulticolumn{1}{x{3.833cm}}{Reflexive Property of Congruence - AB=(C); CD=AB} \tn 
% Row Count 6 (+ 1)
% Row 6
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\mymulticolumn{1}{x{3.833cm}}{Transitive Property of Equality - A=B; B=C; then A=C} \tn 
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% Row 7
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\mymulticolumn{1}{x{3.833cm}}{Transitive Property of Congruence - A=(C) B B=C; then A=(C) C} \tn 
% Row Count 10 (+ 2)
% Row 8
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\mymulticolumn{1}{x{3.833cm}}{Substitution Property - If A=B then A can be substituted for B} \tn 
% Row Count 12 (+ 2)
% Row 9
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\mymulticolumn{1}{x{3.833cm}}{Distrubutive Property - A(B+C)= AB+AC} \tn 
% Row Count 13 (+ 1)
% Row 10
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\mymulticolumn{1}{x{3.833cm}}{Symmetric Property of Equality -If AB=CD, then CD=AB} \tn 
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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{More Angles}}  \tn
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\mymulticolumn{2}{x{3.833cm}}{Acute,} \tn 
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% Row 1
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% Row 2
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% Row Count 3 (+ 1)
% Row 3
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% Row Count 4 (+ 1)
% Row 4
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% Row Count 5 (+ 1)
% Row 5
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% Row Count 6 (+ 1)
% Row 6
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\mymulticolumn{2}{x{3.833cm}}{Supplementary} \tn 
% Row Count 7 (+ 1)
% Row 7
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% Row Count 8 (+ 1)
% Row 8
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\mymulticolumn{2}{x{3.833cm}}{Altitudes} \tn 
% Row Count 9 (+ 1)
% Row 9
\SetRowColor{white}
Scalene & No congruent sides \tn 
% Row Count 10 (+ 1)
% Row 10
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Equalateral Triangle & All sides are congruent \tn 
% Row Count 12 (+ 2)
% Row 11
\SetRowColor{white}
Isosceles Triangle & 2 congruent sides \tn 
% Row Count 13 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Chapter 3.1}}  \tn
% Row 0
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\seqsplit{Corresponding} Angles: & When they have corresponding positions \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Alternate Interior: & If they lie between the two lines and on opposite sides of the transversal \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Alternate Exterior: & If they lie outside the two lines and on opposite sides of the transversal \tn 
% Row Count 8 (+ 3)
% Row 3
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Consecutive Interior: & If they lie between the two lines and on the same side of the transversal \tn 
% Row Count 11 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} }
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\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{All Angle/Triangle Info + Extra Vocab}}  \tn
% Row 0
\SetRowColor{LightBackground}
Acute Angle: & An angle between 0 and 90 degrees. \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Acute Triangle: & Triangle with three acute angles \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{3.833cm}}{Adjacent Angles:} \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
Altitude of a Triangle & The perpendicular segment from one vertex of the triangle to the opposite side/ to the line that contains the opposite side. \tn 
% Row Count 12 (+ 7)
% Row 4
\SetRowColor{LightBackground}
Angle: & Has two different rays with the same endpoint. Rays- Sides of the angle.  Endpoint- The vertex of the angle. \tn 
% Row Count 18 (+ 6)
% Row 5
\SetRowColor{white}
Angle Bisector: & A ray that divides an angle into two angles that are ≅. \tn 
% Row Count 21 (+ 3)
% Row 6
\SetRowColor{LightBackground}
Between: & When 3 points lie on a line, you can say that one point is between the other two \tn 
% Row Count 25 (+ 4)
% Row 7
\SetRowColor{white}
Bioconditional Statement: & A statement that contains the phrase "if and only if" \tn 
% Row Count 28 (+ 3)
% Row 8
\SetRowColor{LightBackground}
Centroid of a Triangle: & The point of concurrency of the three medians of the triangle. \tn 
% Row Count 32 (+ 4)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{All Angle/Triangle Info + Extra Vocab (cont)}}  \tn
% Row 9
\SetRowColor{LightBackground}
Circumference: & Distance around a circle \tn 
% Row Count 2 (+ 2)
% Row 10
\SetRowColor{white}
Collinear Points: & Points that lie on the same line \tn 
% Row Count 4 (+ 2)
% Row 11
\SetRowColor{LightBackground}
Complementary Angles: & Two angles whose measures have the sum 90. The sum of the measures of an angle and its complement is 90. \tn 
% Row Count 10 (+ 6)
% Row 12
\SetRowColor{white}
Conditional Statement & A type of logical statement that has two parts- Hypothesis + Conclusion... ex: If m∠A=90, then ∠A is a right angle. \tn 
% Row Count 16 (+ 6)
% Row 13
\SetRowColor{LightBackground}
Congruency transformation/ Isometry & 1- Translation. 2- Reflections, 3-Rotations \tn 
% Row Count 19 (+ 3)
% Row 14
\SetRowColor{white}
Conjecture: & An unproven statement that is based on observation... ex: all prime numbers are odd \tn 
% Row Count 24 (+ 5)
% Row 15
\SetRowColor{LightBackground}
Contrapositive: & The equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement. \tn 
% Row Count 30 (+ 6)
\end{tabularx}
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\vfill
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\begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{All Angle/Triangle Info + Extra Vocab (cont)}}  \tn
% Row 16
\SetRowColor{LightBackground}
Convex Polygon, Concave & A Polygon that is not convex is non-convex/concave. Convex Polygons = No "dents", Has a "dent" or "dents" \tn 
% Row Count 6 (+ 6)
% Row 17
\SetRowColor{white}
Coplanar points & Points that lie in the same plane \tn 
% Row Count 8 (+ 2)
% Row 18
\SetRowColor{LightBackground}
Equiangular Polygon, Equilateral,polygon, Equilateral triangle,isosceles, & Three congruent sides, all of its sides congruent, three congruent sides, at least 2 congruent sides \tn 
% Row Count 13 (+ 5)
% Row 19
\SetRowColor{white}
Heptagon, Hexagon, Pentagon & Polygon with 7 sides, 6 sides, 5 sides, \tn 
% Row Count 15 (+ 2)
% Row 20
\SetRowColor{LightBackground}
Hypotenuse & The side of the opposite the right angle. \tn 
% Row Count 18 (+ 3)
% Row 21
\SetRowColor{white}
Skew lines & Lines that don't intersect + are NOT coplanar \tn 
% Row Count 21 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{All Postulates}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Ruler "Postulate" - The points on a line can be matched one to one with the real numbers.The real number number that corresponds to a point is the coordinate of the point.} \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Segment Addition "  - If B is between A \& C, then AB+BC=AC. If AB+BC=AC then B is between A \& C} \tn 
% Row Count 6 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Protractor " - The measure of ∠AOB is equal to the the absolute value of the difference between the real numbers for OA \& OB.} \tn 
% Row Count 9 (+ 3)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Segment Addition "- If B is between A \& C, then AB + BC= AC. If AB+BC=AC, then B is between A \& C} \tn 
% Row Count 11 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Angle Addition " - If P is in the interior of ∠RST, then m∠RST= m∠RSP+ m∠PST.} \tn 
% Row Count 13 (+ 2)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{5 - Through any two point there exists exactly one line} \tn 
% Row Count 15 (+ 2)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{6 - A line contains at least two points} \tn 
% Row Count 16 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{7 -If two lines intersect, then their intersection is exactly at one point.} \tn 
% Row Count 18 (+ 2)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{8 - Through any three noncollinear points there exists exactly one plane} \tn 
% Row Count 20 (+ 2)
% Row 9
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{9 - A plane contains at least three noncollinear points} \tn 
% Row Count 22 (+ 2)
% Row 10
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{10 -  If two point lie in a plane, then the line containing them lies in the plane} \tn 
% Row Count 24 (+ 2)
% Row 11
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{11 -If two planes intersect, then their intersection is a line} \tn 
% Row Count 26 (+ 2)
% Row 12
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{12 - Linear pair " - If two angles form a linear pair, then they are supplementary.} \tn 
% Row Count 28 (+ 2)
% Row 13
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Corresponding Angles Postulate \& its Converse- "If two parallel lines are cut by a transversal", then the pairs of corresponding angles are ≅. " " so the corresponding angles are ≅, then the lines are ||.} \tn 
% Row Count 33 (+ 5)
\end{tabularx}
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\vfill
\columnbreak
\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{All Postulates (cont)}}  \tn
% Row 14
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Slopes of Parallel "Lines" - In a coordinate plane two nonvertical lines are parallel if \& only if they have the same slope. Any 2 vertical lines are ||.} \tn 
% Row Count 4 (+ 4)
% Row 15
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Slopes of perpendicular " " - In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Horizontal lines are perpendicular  to vertical lines} \tn 
% Row Count 8 (+ 4)
% Row 16
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{SSS "Congruence Postulate" -If 3 sides of a triangle are congruent to 3 sides of another triangle, then they are congruent} \tn 
% Row Count 11 (+ 3)
% Row 17
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{SAS " -If 2 sides and 1 included angle of a triangle are congruent to the 2 sides and angle of another triangle, then they are congruent} \tn 
% Row Count 14 (+ 3)
% Row 18
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{ASA " -If 2 angles and an included side of a triangle are congruent to 2 angles and included side of another triangle, then they are congruent} \tn 
% Row Count 17 (+ 3)
% Row 19
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{AA Similarity "-If 2 angles of one triangle are congruent to 2 angles of another triangle, then they are similar} \tn 
% Row Count 20 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
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\begin{tabularx}{3.833cm}{X}
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\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{All Theorems}}  \tn
% Row 0
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\mymulticolumn{1}{x{3.833cm}}{Right Angles Congruence "Theorem"-} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Congruent Supplements "-} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Congruent Complements " -} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Vertical Angles ≅ "-} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Alternate Interior Angles " -} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{\textasciicircum{} Exterior Angles " -} \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Consecutive Interior Angles " -} \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Alternate Interior Angles Converse -} \tn 
% Row Count 8 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{\textasciicircum{} Exterior Angles Converse -} \tn 
% Row Count 9 (+ 1)
% Row 9
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Consecutive Interior Angle Converse -} \tn 
% Row Count 10 (+ 1)
% Row 10
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Transitive Property of Parallel Lines -} \tn 
% Row Count 11 (+ 1)
% Row 11
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Perpendicular Transversal-} \tn 
% Row Count 12 (+ 1)
% Row 12
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Lines Perpendicular to a Transversal-} \tn 
% Row Count 13 (+ 1)
% Row 13
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Triangle Sum -} \tn 
% Row Count 14 (+ 1)
% Row 14
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Corollary -} \tn 
% Row Count 15 (+ 1)
% Row 15
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Exterior Angle-} \tn 
% Row Count 16 (+ 1)
% Row 16
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Third Angles-} \tn 
% Row Count 17 (+ 1)
% Row 17
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Hypotenuse Leg Congruence-} \tn 
% Row Count 18 (+ 1)
% Row 18
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{AAS Congruence-} \tn 
% Row Count 19 (+ 1)
% Row 19
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Base Angles-} \tn 
% Row Count 20 (+ 1)
% Row 20
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Corollary -} \tn 
% Row Count 21 (+ 1)
% Row 21
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Converse of the Base Angle -} \tn 
% Row Count 22 (+ 1)
% Row 22
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Midsegment -} \tn 
% Row Count 23 (+ 1)
% Row 23
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Perpendicular Bisector -} \tn 
% Row Count 24 (+ 1)
% Row 24
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Converse of the Perpendicular Bisector -} \tn 
% Row Count 25 (+ 1)
% Row 25
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Angle Bisector -} \tn 
% Row Count 26 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}