[asy][asy] import graph; size(10cm); real labelscalefactor = 0.5; pen dps = linewidth(0.7) + fontsize(10); defaultpen(dps); pen dotstyle = black; real xmin = -5.04, xmax = 16.78, ymin = -3.47, ymax = 9.01; draw((xmin, -0.34*xmin + 1.75)--(xmax, -0.34*xmax + 1.75)); draw((xmin, 0.78*xmin + 0.07)--(xmax, 0.78*xmax + 0.07)); draw((xmin, -2.85*xmin + 5.51)--(xmax, -2.85*xmax + 5.51)); draw((xmin, 4.06*xmin + 8.56)--(xmax, 4.06*xmax + 8.56)); draw((xmin, 0*xmin-1.97)--(xmax, 0*xmax-1.97)); draw((xmin, -0.77*xmin + 6.43)--(xmax, -0.77*xmax + 6.43)); label("$l_{b}$",(5.53,5.26+0.2),SE*labelscalefactor); label("$l_{c}$",(-3.43,3.68),SE*labelscalefactor); label("$l_{a}$",(0.06+0.2,5.4),SE*labelscalefactor); dot((2.63,-1.98),dotstyle); label("$L_1$", (2.75,-1.8), NE * labelscalefactor); dot((1.5,1.24),dotstyle); label("$I$", (2.08,1.22), NE * labelscalefactor); dot((4.36,3.1),dotstyle); label("$L_2$", (4.48,3.27-0.3), NE * labelscalefactor); dot((-1.89,0.9),dotstyle); label("$L_3$", (-2.49-0.5,0.75), NE * labelscalefactor); dot((0.35,-1.97),dotstyle); label("$L_4$", (-0.03,-1.59), NE * labelscalefactor); dot((2.55,4.48),dotstyle); label("$L_5$", (2.66,4.64), NE * labelscalefactor); dot((-1.34,3.11),dotstyle); label("$L_6$", (-1.99-0.3,3.27), NE * labelscalefactor); clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle); [/asy][/asy] 1. Let $I$ be the intersection of $\ell_{b}$ and $\ell_{c}$. 2. Let $\ell_{a}$ be the line passing through $L_{1}$ and $I$. 3. Let $L_{2}$ be reflection of $L_{1}$ over $\ell_{c}$. 4. Let $L_{3}$ be reflection of $L_{2}$ over $\ell_{a}$. 5. Let $L_{4}$ be reflection of $L_{3}$ over $\ell_{b}$. 6. Let $L_{5}$ be reflection of $L_{4}$ over $\ell_{c}$. 7. The triangle formed by lines $L_{1}L_{4}, L_{2}L_{5}, L_{3}L_{6}$ is what we want.