Final answer:
IEEE 802.1D, known as Classic Spanning Tree Protocol (STP), is the standard that supports only one root bridge, ensuring a single active path for all VLANs.
Step-by-step explanation:
The spanning tree standard that supports only one root bridge so that traffic from all VLANs flows over the same path is IEEE 802.1D. This standard, also known as the Classic Spanning Tree Protocol (STP), ensures that there is only one logical path through a network to prevent loops, which are detrimental to network performance. Although enhancements like IEEE 802.1w (Rapid Spanning Tree Protocol) and IEEE 802.1s (Multiple Spanning Tree Protocol) exist, the IEEE 802.1D is the one that strictly enforces a single active path in a switched network for all VLANs.