Short Answer 
The transformation of triangle DOG involves three steps: first, translating it to align a vertex with triangle D’O’G’; second, rotating it around the common vertex for proper orientation; and finally, reflecting it if needed to ensure both triangles match perfectly.
Step 1: Translation
Begin the transformation by performing a translation. This involves moving triangle ‚à ö¬¢¬¨n¬¨‚â•DOG so that one of its vertices aligns perfectly with the corresponding vertex of triangle ‚à ö¬¢¬¨n¬¨‚â•D‚à ö¬¢¬¨A¬¨‚â§O‚à ö¬¢¬¨A¬¨‚â§G‚à ö¬¢¬¨A¬¨‚â§. This step ensures that both triangles share a common point, setting the foundation for the next transformation.
Step 2: Rotation
Next, apply a rotation of the translated triangle around the coinciding vertex. Rotate triangle ‚à ö¬¢¬¨n¬¨‚â•DOG until its sides align with the corresponding sides of triangle ‚à ö¬¢¬¨n¬¨‚â•D‚à ö¬¢¬¨A¬¨‚â§O‚à ö¬¢¬¨A¬¨‚â§G‚à ö¬¢¬¨A¬¨‚â§. This adjustment is crucial for achieving the correct orientation of the triangles, ensuring they are positioned similarly.
Step 3: Reflection
Finally, if the triangles are still not a perfect match, perform a reflection. This step involves flipping triangle ‚à ö¬¢¬¨n¬¨‚â•DOG over the appropriate line to ensure it precisely matches triangle ‚à ö¬¢¬¨n¬¨‚â•D‚à ö¬¢¬¨A¬¨‚â§O‚à ö¬¢¬¨A¬¨‚â§G‚à ö¬¢¬¨A¬¨‚â§. Depending on the configuration, this reflection may be necessary to achieve an exact overlap of the two triangles.