\section{The Show} \subsection{Show the constructions of some lines \tkzcname{tkzShowLine}} \begin{NewMacroBox}{tkzShowLine}{\oarg{local options}\parg{pt1,pt2} or \parg{pt1,pt2,pt3}}% These constructions concern mediatrices, perpendicular or parallel lines passing through a given point and bisectors. The arguments are therefore lists of two or three points. Several options allow the adjustment of the constructions. The idea of this macro comes from \tkzimp{Yves Combe}. \medskip \begin{tabular}{lll}% \toprule options & default & definition \\ \midrule \TOline{mediator}{mediator}{displays the constructions of a mediator} \TOline{perpendicular}{mediator}{constructions for a perpendicular} \TOline{orthogonal}{mediator}{idem} \TOline{bisector}{mediator}{constructions for a bisector} \TOline{K}{1}{circle within a triangle } \TOline{length}{1}{in cm, length of a arc} \TOline{ratio} {.5}{arc length ratio} \TOline{gap}{2}{placing the point of construction} \TOline{size}{1}{radius of an arc (see bisector)} \bottomrule \end{tabular} You have to add, of course, all the styles of \TIKZ\ for tracings\dots \end{NewMacroBox} \subsubsection{Example of \tkzcname{tkzShowLine} and \tkzname{parallel}} \begin{tkzexample}[latex=7cm,small] \begin{tikzpicture} \tkzDefPoints{-1.5/-0.25/A,1/-0.75/B,-1.5/2/C} \tkzDrawLine(A,B) \tkzDefLine[parallel=through C](A,B) \tkzGetPoint{c} \tkzShowLine[parallel=through C](A,B) \tkzDrawLine(C,c) \tkzDrawPoints(A,B,C,c) \end{tikzpicture} \end{tkzexample} \subsubsection{Example of \tkzcname{tkzShowLine} and \tkzname{perpendicular}} \begin{tkzexample}[latex=5cm,small] \begin{tikzpicture} \tkzDefPoints{0/0/A, 3/2/B, 2/2/C} \tkzDefLine[perpendicular=through C,K=-.5](A,B) \tkzGetPoint{c} \tkzShowLine[perpendicular=through C,K=-.5,gap=3](A,B) \tkzDefPointBy[projection=onto A--B](c)\tkzGetPoint{h} \tkzMarkRightAngle[fill=lightgray](A,h,C) \tkzDrawLines[add=.5 and .5](A,B C,c) \tkzDrawPoints(A,B,C,h,c) \end{tikzpicture} \end{tkzexample} \subsubsection{Example of \tkzcname{tkzShowLine} and \tkzname{bisector}} \begin{tkzexample}[latex=7 cm,small] \begin{tikzpicture}[scale=1.25] \tkzDefPoints{0/0/A, 4/2/B, 1/4/C} \tkzDrawPolygon(A,B,C) \tkzSetUpCompass[color=brown,line width=.1 pt] \tkzDefLine[bisector](B,A,C) \tkzGetPoint{a} \tkzDefLine[bisector](C,B,A) \tkzGetPoint{b} \tkzInterLL(A,a)(B,b) \tkzGetPoint{I} \tkzDefPointBy[projection = onto A--B](I) \tkzGetPoint{H} \tkzShowLine[bisector,size=2,gap=3,blue](B,A,C) \tkzShowLine[bisector,size=2,gap=3,blue](C,B,A) \tkzDrawCircle[radius,color=blue,% line width=.2pt](I,H) \tkzDrawSegments[color=red!50](I,tkzPointResult) \tkzDrawLines[add=0 and -0.3,color=red!50](A,a B,b) \end{tikzpicture} \end{tkzexample} \subsubsection{Example of \tkzcname{tkzShowLine} and \tkzname{mediator}} \begin{tkzexample}[latex=7 cm,small] \begin{tikzpicture} \tkzDefPoint(2,2){A} \tkzDefPoint(5,4){B} \tkzDrawPoints(A,B) \tkzShowLine[mediator,color=orange,length=1](A,B) \tkzGetPoints{i}{j} \tkzDrawLines[add=-0.1 and -0.1](i,j) \tkzDrawLines(A,B) \tkzLabelPoints[below =3pt](A,B) \end{tikzpicture} \end{tkzexample} \subsection{Constructions of certain transformations \addbs{tkzShowTransformation}} \begin{NewMacroBox}{tkzShowTransformation}{\oarg{local options}\parg{pt1,pt2} or \parg{pt1,pt2,pt3}}% These constructions concern orthogonal symmetries, central symmetries, orthogonal projections and translations. Several options allow the adjustment of the constructions. The idea of this macro comes from \tkzimp{Yves Combe}. \medskip \begin{tabular}{lll}% \toprule options & default & definition \\ \midrule \TOline{reflection= over pt1--pt2}{reflection}{constructions of orthogonal symmetry} \TOline{symmetry=center pt}{reflection}{constructions of central symmetry} \TOline{projection=onto pt1--pt2}{reflection}{constructions of a projection} \TOline{translation=from pt1 to pt2}{reflection}{constructions of a translation} \TOline{K}{1}{circle within a triangle } \TOline{length}{1}{arc length} \TOline{ratio} {.5}{arc length ratio} \TOline{gap}{2}{placing the point of construction} \TOline{size}{1}{radius of an arc (see bisector)} \end{tabular} \end{NewMacroBox} \subsubsection{Example of the use of \tkzcname{tkzShowTransformation}} \begin{tkzexample}[latex=6cm,small] \begin{tikzpicture}[scale=.6] \tkzDefPoint(0,0){O} \tkzDefPoint(2,-2){A} \tkzDefPoint(70:4){B} \tkzDrawPoints(A,O,B) \tkzLabelPoints(A,O,B) \tkzDrawLine[add= 2 and 2](O,A) \tkzDefPointBy[translation=from O to A](B) \tkzGetPoint{C} \tkzDrawPoint[color=orange](C) \tkzLabelPoints(C) \tkzShowTransformation[translation=from O to A,% length=2](B) \tkzDrawSegments[->,color=orange](O,A B,C) \tkzDefPointBy[reflection=over O--A](B) \tkzGetPoint{E} \tkzDrawSegment[blue](B,E) \tkzDrawPoint[color=blue](E)\tkzLabelPoints(E) \tkzShowTransformation[reflection=over O--A,size=2](B) \tkzDefPointBy[symmetry=center O](B) \tkzGetPoint{F} \tkzDrawSegment[color=green](B,F) \tkzDrawPoint[color=green](F)\tkzLabelPoints(F) \tkzShowTransformation[symmetry=center O,% length=2](B) \tkzDefPointBy[projection=onto O--A](C) \tkzGetPoint{H} \tkzDrawSegments[color=magenta](C,H) \tkzDrawPoint[color=magenta](H)\tkzLabelPoints(H) \tkzShowTransformation[projection=onto O--A,% color=red,size=3,gap=-2](C) \end{tikzpicture} \end{tkzexample} \subsubsection{Another example of the use of \tkzcname{tkzShowTransformation}} You'll find this figure again, but without the construction features. \begin{tkzexample}[latex=7cm,small] \begin{tikzpicture}[scale=.6] \tkzDefPoints{0/0/A,8/0/B,3.5/10/I} \tkzDefMidPoint(A,B) \tkzGetPoint{O} \tkzDefPointBy[projection=onto A--B](I) \tkzGetPoint{J} \tkzInterLC(I,A)(O,A) \tkzGetPoints{M}{M'} \tkzInterLC(I,B)(O,A) \tkzGetPoints{N}{N'} \tkzDrawSemiCircle[diameter](A,B) \tkzDrawSegments(I,A I,B A,B B,M A,N) \tkzMarkRightAngles(A,M,B A,N,B) \tkzDrawSegment[style=dashed,color=blue](I,J) \tkzShowTransformation[projection=onto A--B, color=red,size=3,gap=-3](I) \tkzDrawPoints[color=red](M,N) \tkzDrawPoints[color=blue](O,A,B,I) \tkzLabelPoints(O) \tkzLabelPoints[above right](N,I) \tkzLabelPoints[below left](M,A) \end{tikzpicture} \end{tkzexample} \endinput