[参考までにWindows10,Windows7 だけでBuildできるサンプルを載せておきます]
一つのフォルダーに次のファイルをメモ帳などでつくります。
App.xaml
コード:  
<Application x:Class="test.App"
             xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
             xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
             xmlns:local="clr-namespace:test"
             StartupUri="MainWindow.xaml">
    <Application.Resources>
         
    </Application.Resources>
</Application>
App.xaml.cs
コード:  
using System;
using System.Collections.Generic;
using System.Configuration;
using System.Data;
using System.Linq;
using System.Threading.Tasks;
using System.Windows;
namespace test
{
    /// <summary>
    /// App.xaml の相互作用ロジック
    /// </summary>
    public partial class App : Application
    {
    }
}
MainWindow.xaml
コード:  
<Window x:Class="test.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        
        xmlns:local="clr-namespace:test"
        
        Title="MainWindow" Height="480" Width="640">
    <Canvas>
        <Rectangle 
        x:Name="rect"
        Fill="Blue" Height="100" Stroke="Black" Width="100" 
    	Canvas.Left="10" Canvas.Top="10"/>
        <Button Content="right" Canvas.Left="432" Canvas.Top="10" Width="75" Height="40" Click="button1_Click"/>
        <Button Content="down" Canvas.Left="432" Canvas.Top="55" Width="75" Height="40" Click="button2_Click"/>
        <Button Content="set" Canvas.Left="432" Canvas.Top="100" Width="75" Height="40" Click="button3_Click"/>
    </Canvas>
</Window>
MainWindow.xaml.cs
コード:  
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;
using System.Windows.Shapes;
namespace test
{
    /// <summary>
    /// MainWindow.xaml の相互作用ロジック
    /// </summary>
    public partial class MainWindow : Window
    {
        public MainWindow()
        {
            InitializeComponent();
        }
        // 右へ移動
        private void button1_Click(object sender, RoutedEventArgs e)
        {
            double x = Canvas.GetLeft(this.rect);
            Canvas.SetLeft(this.rect, x + 20);
        }
        // 下へ移動
        private void button2_Click(object sender, RoutedEventArgs e)
        {
            double y = Canvas.GetTop(this.rect);
            Canvas.SetTop(this.rect, y + 20);
        }
        // 初期値へ戻す
        private void button3_Click(object sender, RoutedEventArgs e)
        {
            Canvas.SetLeft(this.rect, 10);
            Canvas.SetTop(this.rect, 10);
        }
    }
}