# Bug in tkz-euclide? \tkzInterLL(S1,S2)(L,K) not working when points are defined by \tkzDefBarycentricPoint(A=1,D=2) \tkzGetPoint{K}

I've made this exercise to find the intersection point between a line and a plane.

With this code:

\documentclass[9pt,handout]{beamer}
\usepackage{tkz-base}
\usepackage{pgf,tkz-euclide}
\usetkzobj{all}
\usepackage{pgfplots}
\begin{document}
\begin{frame}
\begin{center}
\begin{tikzpicture}
\tkzInit[ymax=7,xmax=9]
\tkzDefPoints{1/0/A, 6/0/B, 6/5/C, 1/5/D}
\tkzDefShiftPoint[A](30:2.5){E};
\tkzDefShiftPoint[B](30:2.5){F};
\tkzDefShiftPoint[C](30:2.5){G};
\tkzDefShiftPoint[D](30:2.5){H};

%%bepalen van lijstuk [ST]
\tkzDefBarycentricPoint(A=1,D=2) \tkzGetPoint{K};
\tkzDrawPoints(K)
\tkzLabelPoints[left](K)
\tkzDefBarycentricPoint(E=1,F=-2.5) \tkzGetPoint{L};
\tkzDrawPoints(L)
\tkzLabelPoints[above](L)

\tkzDrawSegments(A,B B,C C,D D,A F,G G,H B,F D,H C,G K,L);
\tkzDrawSegments[dashed](A,E E,F E,H F,L);
\tkzDrawPolygon[fill=orange!40, opacity=.4](B,C,G,F);
%\tkzDrawPoints(A,B,C,D,E,F,G,H);
\tkzLabelPoints[above](C,D,G,H);
\tkzLabelPoints[below](A,B,E,F);  \pause

%%% tekenen van het hulpvlak
\tkzDrawPolygon[color=green,thick](A,D,L); \pause
\tkzDefShiftPoint[L](90:5){K};
\tkzDrawPolygon[fill=green,opacity=0.1,thick](A,D,K,L); \pause

%%% tekenen van de snijlijn
\tkzInterLL(C,G)(D,K)  \tkzGetPoint{S1};
\tkzInterLL(A,L)(B,F)  \tkzGetPoint{S2};
\tkzDrawPoint[color=red,size=8,fill=red](S1);
\tkzLabelPoint[color=red,above](S1) {S$_1$}; \pause
\tkzDrawPoint[color=red,size=8,fill=red](S2);
\tkzLabelPoint[color=red,below](S2) {S$_2$}; \pause
\tkzDrawSegment[color=red,thick](S1,S2) \pause
\tkzInterLL(S1,S2)(L,D)  \tkzGetPoint{S} %%%% <<<< this works fine, but is not correct
%\tkzInterLL(S1,S2)(L,K)  \tkzGetPoint{S} %%%% <<<< this doesn't work fine, but is correct
\tkzDrawPoint[color=red,size=10,fill=red](S)
\tkzLabelPoints[color=red,right](S)
\end{tikzpicture}
\end{center}
\end{frame}

\end{document}

As you can read in my code, the intersection between KL and S1S2 is not working. I've tested every other point (H,G,D,C,...) but the only thing that doesn't work is using KL. Strange enough but K and L are defined by

\tkzDefBarycentricPoint(A=1,D=2) \tkzGetPoint{K};

\tkzDefBarycentricPoint(E=1,F=-2.5) \tkzGetPoint{L};

I could define point K in a simple way, but I want to know why this is not working. (the error file says FP error: Division by zero!., makes no sense to me?)