1. The problem states that a trapezium is enlarged by a scale factor of 3 with the center of enlargement at the point marked with a red x. 2. The vertex V is a point on the original trapezium, near the bottom-left corner. 3. To find the new position of the vertex corresponding to V after enlargement, we multiply the distance from the center of enlargement to V by the scale factor 3. 4. Since the center is at the red x (coordinates 0,0) and vertex V is at some coordinates $(x,y)$, the new vertex after enlargement will be at $(3x,3y)$. 5. By observing the graph, find the point labeled with the coordinates near $(3x,3y)$ that corresponds to the vertex V. 6. According to the graph's description and enlargement rules, the new vertex corresponding to V is marked by the letter B (assuming the scale and alignment given). Final answer: The vertex B marks the position of the new vertex corresponding to V after enlargement.