A React example demonstrates a simple pet-selection menu with two dropdown options, Dog and Cat. It shows how user selections are managed through React state, with the current choice displayed in the console. The implementation uses React's `useState` hook for state management and a custom `Dropdown` component that handles `onChange` events. Options are mapped into `<option>` elements within a `<select>` tag, with `ReactDOM.render` mounting the app to the root div.