\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetikzlibrary{calc,shadings}
\usepackage{pgfplots}

\begin{document}
\usetkzobj{all}
\newenvironment{customlegend}[1][]{%
    \begingroup
    % inits/clears the lists (which might be populated from previous
    % axes):
    \csname pgfplots@init@cleared@structures\endcsname
    \pgfplotsset{#1}%
}{%
    % draws the legend:
    \csname pgfplots@createlegend\endcsname
    \endgroup
}%

% makes \addlegendimage available (typically only available within an
% axis environment):
\def\addlegendimage{\csname pgfplots@addlegendimage\endcsname}

%%--------------------------------

% definition to insert numbers
\pgfkeys{/pgfplots/number in legend/.style={%
        /pgfplots/legend image code/.code={%
            \node at (0.295,-0.0225){#1};
        },%
    },
}

\pgfdeclarelayer{background}
\pgfdeclarelayer{foreground}
\pgfsetlayers{background,main,foreground}
\begin{tikzpicture}
    \tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]

    \tkzDefPoints{0/0/A, 2/0/B, 3/0.5/C, 0/3/D, 2/3/E, 3/1.5/F, 2/2/G, 1/1.5/H}

    \begin{pgfonlayer}{foreground}
        %Get intersections
        \tkzInterLL(B,H)(A,C) \tkzGetPoint{I}
        \tkzInterLL(B,F)(A,C) \tkzGetPoint{J}
        \tkzInterLL(A,G)(B,H) \tkzGetPoint{K}
        \tkzInterLL(A,G)(H,F) \tkzGetPoint{L}
        \tkzInterLL(C,G)(B,F) \tkzGetPoint{M}
        \tkzInterLL(C,G)(H,F) \tkzGetPoint{N}
        \tkzInterLL(G,D)(H,E) \tkzGetPoint{O}

        \tkzDrawPoints[color=green,fill=green](A,C,G,D)
        \tkzDrawPoints[color=blue,fill=blue](B,F,E,H)
        \tkzDrawPoints[color=red,fill=red](I,J,K,L,M,N,O)
    \end{pgfonlayer}

    \tkzDrawPolygon[blue,very thick](H,E,F,B)
    \tkzDrawSegment[blue,very thick](H,F)

    \tkzDrawPolygon[green,very thick](A,D,G,C)
    \tkzDrawSegment[green,very thick](A,G)

    \tkzDrawSegments[red,very thick](I,M I,N I,L A,H H,D L,O N,E G,E)

    % \tkzLabelPoint(A){A}
    % \tkzLabelPoint(B){B}
    % \tkzLabelPoint(C){C}
    % \tkzLabelPoint(D){D}
    % \tkzLabelPoint(E){E}
    % \tkzLabelPoint(F){F}
    % \tkzLabelPoint(G){G}
    % \tkzLabelPoint(H){H}
    % \tkzLabelPoint(I){I}
    % \tkzLabelPoint(J){J}
    % \tkzLabelPoint(K){K}
    % \tkzLabelPoint(L){L}
    % \tkzLabelPoint(M){M}
    % \tkzLabelPoint(N){N}
    % \tkzLabelPoint(O){O}

    \begin{customlegend}[
    legend entries={
        $T_1$,
        $T_2$,
        $T$
    },
    legend style={at={(4.5,3.5)},font=\footnotesize}] % <= to define position and font legend
    % the following are the "images" and numbers in the legend
        \addlegendimage{blue,very thick}
        \addlegendimage{green,very thick}
        \addlegendimage{red,very thick}
    \end{customlegend}
\end{tikzpicture}
\end{document}
