1. The problem involves identifying the names of two triangles formed by points on a coordinate grid. 2. The points given are A(2,3), B(5,3), C(8,3), D(6,5), E(8,9), and F(8,6). 3. The polygon is formed by connecting points A-D-E-F-C-B-A. 4. The two triangles named are \(\triangle ADB\) and \(\triangle DEF\). 5. \(\triangle ADB\) is formed by points A(2,3), D(6,5), and B(5,3). 6. \(\triangle DEF\) is formed by points D(6,5), E(8,9), and F(8,6). 7. These names correspond to the triangles inside the dotted rectangular boxes below the polygon as labeled. Final answer: The triangle with vertices A, D, B is named \(\triangle ADB\) and the triangle with vertices D, E, F is named \(\triangle DEF\).