How to delete a ToDo Item onClick in React?

class TodoList extend React.Component{
    constructor(props){
        super(props);
        this.state = {
            todos: [],
            todo: ''
        }
        this.changeTodo = this.changeTodo.bind(this);
        this.addTodo = this.addTodo.bind(this);
        this.removeTodo = this.removeTodo.bind(this);
    }

    changeTodo(event){
        this.setState({
            todo: event.target.value
        })
    }

    addTodo(){
        let { todo, todos } = this.state;
        this.setState({
            todo: '',
            todos: [...todos, todo]
        })
    }

    removeTodo(index){
        let { todos } = this.state;
        todos.splice(index, 1);
        this.setState({
            todos: todos
        })
    }

    render(){
        let { todo, todos } = this.state;
        return <div>
            <input value={todo} onChange={this.changeTodo}/>
            <button onClick={this.addTodo}>Add Todo</button>
            {
                todos.map((todo, index)=>{
                    return <h1 onClick={this.removeTodo.bind(undefined, index)} key={index}>{todo}</h1>
                })
            }
        </div>
    }
}

This is a small example for TodoList. Go through this code to understand remove todo in your TodoList app.

To delete the todo items, first pass a function from parent component:

<TodoList todos={this.state.todos} removeTodo={this.removeTodo}/>

Bind this function in the constructor:

this.removeTodo = this.removeTodo.bind(this);

Define this function in parent component, it will delete that item from state variable:

removeTodo(name){
    this.setState({
        todo: this.state.todo.filter(el => el !== name)
    })
}

Then inside child component call this method to delete todo:

export default class TodoList extends Component {
    removeItem(e) {
        this.props.removeTodo(item);
    }
    render() {
        return(
            <ul>
                { this.props.todos.map((todo) => {
                    return <li onClick={() => { this.removeItem(todo)}} key={todo}>{ todo }</li>
                })}
            </ul>
        );
    }
}

Suggestion:

Don't call setState multiple time within a function if you want to set multiple state values then write it like this:

this.setState({
    a: value1,
    b: value2,
    c: value3
})

Working example:

class Todos extends React.Component {
    constructor(props) {
        super(props);
        this.state = { todos: [], text: '' };
        this.removeTodo = this.removeTodo.bind(this);
    }

    addTodo(e) {
        e.preventDefault();
        this.setState({ 
        	todos: [ this.state.text, ...this.state.todos ],
        	text: ''
        });
    }

    removeTodo(name, i){
        let todos = this.state.todos.slice();
        todos.splice(i, 1);
        this.setState({
            todos
        });
    }

    updateValue(e) {
        this.setState({ text: e.target.value})
    }

    render() {
        return(
            <div>
                <form onSubmit = {(e) => this.addTodo(e)}>
                    <input
                        placeholder="Add Todo"
                        value={this.state.text}
                        onChange={(e) => {this.updateValue(e)}}
                    />
                    <button type="submit">Add Todo</button>
                </form>
                <TodoList todos={this.state.todos} removeTodo={this.removeTodo}/>
            </div>
        );
    }
}

class TodoList extends React.Component {

    removeItem(item, i) {
        this.props.removeTodo(item, i);
    }

    render() {
        return(
            <ul>
                { this.props.todos.map((todo,i) => {
                    return <li onClick={() => { this.removeItem(todo, i)}} key={i}>{ todo }</li>
                })}
            </ul>
        );
    }
}

ReactDOM.render(<Todos/>, document.getElementById('app'))

<script src="https://cdnjs.cloudflare.com/ajax/libs/react/15.1.0/react.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/react/15.1.0/react-dom.min.js"></script>

<div id='app'/>

Update:

This is for @whs.bsmith doubt, the code that i suggested will work properly in the case where user will add the unique items in the todo list, if he will try to add the same item it will not reflect in ui because OP is using the todo items name as the key and key should be unique.

To solve that issue:

In working snippet i used indexes in place of todo items name for key, that will work properly and it will allow the user to add same item multiple times and on deletion, it will delete only that specific item not all the item having that same name, But it's not a good idea to use indexes as the key.

You have called setState two times in the addTodo function. You can set todos and text in a single setState function like this:

addTodo(e) {
    e.preventDefault();
    this.setState({ todos: [ this.state.text, ...this.state.todos ], text: '' });
}

Do not write removeItem function in TodoList Component as it is purely working on props. Pass a removeItem function from Todos to it and remove that item in Todos's removeItem function like this:

import React, {Component} from 'react'
export default class Todos extends Component {
  constructor(props) {
    super(props);
    this.state = { todos: [], text: '' };
    this.removeItem = this.removeItem.bind(this)
  }

  addTodo(e) {
    e.preventDefault();
    this.setState({ todos: [ this.state.text, ...this.state.todos ], text: '' });
  }


  updateValue(e) {
    this.setState({ text: [e.target.value]})
  }
  removeItem(index) {
    const todos = this.state.todos.filter((todo, todoIndex) => {
      return todoIndex !== index
    })
    this.setState({ todos })
  }
  render() {
    return(
      <div>
        <form onSubmit = {(e) => this.addTodo(e)}>
          <input
            placeholder="Add Todo"
            value={this.state.text}
            onChange={(e) => {this.updateValue(e)}}
            />
          <button type="submit">Add Todo</button>
        </form>
        <TodoList todos={this.state.todos} removeItem={this.removeItem} />
      </div>
    );
  }
}

class TodoList extends Component {
  render() {
    return(
      <ul>
        { this.props.todos.map((todo, index) => {
          return <li onClick={(e) => { this.props.removeItem(index)}} key={todo}>{ todo }</li>
        })}
      </ul>
    );
  }
}

Hope, it helps.