\documentclass{article}
\usepackage{gensymb}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,decorations.pathreplacing,shapes}
\tikzset{
    %Define standard arrow tip
    >=stealth',
    % Define arrow style
    pil/.style={
           ->,
           thick}
}

\begin{document}
\begin{preview}
  \begin{tikzpicture}
    \draw[color=orange, very thick, fill=orange!20] (-3.5,-0.5) -- (-2.5,2.5) -- (2.5,1)  -- (1.5,-2) -- cycle;
    \draw[color=gray, very thick, fill=gray!20] (-3.5,-0.5) -- (-2.5,2.5) -- (-2,1) -- cycle;
    \draw[color=green, very thick, fill=green!20] (-2.5,2.5) -- (2.5,1) -- (-2,1) -- cycle;
    \draw[color=blue, very thick, fill=blue!20] (2.5,1)  -- (1.5,-2) -- (-2,1) -- cycle;
    \draw[color=purple, very thick, fill=purple!20] (1.5,-2)  -- (-3.5,-0.5) -- (-2,1) -- cycle;
    \draw [<->, thick, red] (0,3.0) -- (0,0) -- (3,0);
    \draw[fill, color=purple] (-2,1) circle [radius=0.04];
    \node [below left, orange] at (-3.5,-0.5) {A};
    \node [above, orange] at (-2.5,2.5) {B};
    \node [right, orange] at (2.5,1) {C};
    \node [below, orange] at (1.5,-2) {D};
    \draw[step=0.5cm,color=gray] (-4.0, -2.5) grid (3.0,3.0);
  \end{tikzpicture}
\end{preview}
\end{document}