This example shows a Vue component with a button that toggles a paragraph's visibility. The transition name changes dynamically between 'fade' and 'slide' depending on whether the paragraph is shown or hidden. When the user clicks the button, Vue updates the reactive variables 'show' and 'transitionName'. Vue then applies the corresponding transition animation to the paragraph entering or leaving the DOM. The execution table traces each step: initial render with 'fade', toggle to hide with 'slide', animation end, toggle to show with 'fade', and final animation end. The variable tracker shows how 'show' and 'transitionName' change over time. Key moments clarify why the transition name changes and how animations correspond to DOM changes. The quiz tests understanding of state changes and animation triggers. This visual execution helps beginners see how dynamic transitions work in Vue by following state, DOM, and animation changes step-by-step.